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Casio fx-570ES PLUS User Manual

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fx-570ES PLUS

fx-991ES PLUS

(2nd edition / NATURAL-V.P.A.M.)

User’s Guide

CASIO Worldwide Education Website

https://edu.casio.com

Manuals are available in multi languages at

https://world.casio.com/manual/calc/

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Summary of Contents for Casio fx-570ES PLUS

  • Page 1
    PLUS fx-991ES PLUS (2nd edition / NATURAL-V.P.A.M.) User’s Guide CASIO Worldwide Education Website https://edu.casio.com Manuals are available in multi languages at https://world.casio.com/manual/calc/…
  • Page 2: Table Of Contents

    Table of Contents Before Using the Calculator………… 4 About this Manual………………4 Initializing the Calculator…………….4 Precautions………………..4 Safety Precautions………………4 Handling Precautions………………5 Getting Started………………5 Removing the Hard Case…………….5 Turning Power On and Off…………….6 Adjusting Display Contrast…………….6 Key Markings………………..

  • Page 3
    Function Calculations…………27 Pi (π), Natural Logarithm Base e…………27 Trigonometric Functions……………. 27 Hyperbolic Functions…………….27 Angle Unit Conversion…………….28 Exponential Functions…………….28 Logarithmic Functions…………….28 Power Functions and Power Root Functions………29 Integration Calculations…………….. 30 Integration Calculation Precautions………….. 31 Tips for Successful Integration Calculations……….31 Differential Calculations……………..
  • Page 4
    Matrix Calculations (MATRIX)…………..61 Matrix Answer Memory…………….. 63 Assigning and Editing Matrix Variable Data……….63 Matrix Calculation Examples……………..64 Creating a Numerical Table from a Function (TABLE)……65 Vector Calculations (VECTOR)…………..67 Vector Answer Memory…………….. 68 Assigning and Editing Vector Variable Data……….68 Vector Calculation Examples……………. 69 Technical Information…………
  • Page 5: Before Using The Calculator

    Before Using the Calculator About this Manual • In no event shall CASIO Computer Co., Ltd. be liable to anyone for special, collateral, incidental, or consequential damages in connection with or arising out of the purchase or use of this product and items that come with it.

  • Page 6: Handling Precautions

    Replace the battery immediately after display figures become dim. fx-570ES PLUS: Every 2 years fx-991ES PLUS: Every 3 years • A dead battery can leak, causing damage to and malfunction of the calculator.

  • Page 7: Turning Power On And Off

    Turning Power On and Off • Press to turn on the calculator. • Press (OFF) to turn off the calculator. Note • The calculator also will turn off automatically after approximately 10 minutes of non- use. Press the key to turn the calculator back on. Adjusting Display Contrast 1.

  • Page 8: Reading The Display

    Example: (sin )* 1 * Indicates the function that is accessed by the key operation ( ) before it. Note that this is not part of the actual key operation you perform. • The following shows an example of how a key operation to select an on- screen menu item is represented in this manual.

  • Page 9
    Display indicators This indicator: Means this: The keypad has been shifted by pressing the key. The keypad will unshift and this indicator will disappear when you press a key. The alpha input mode has been entered by pressing the key. The alpha input mode will be exited and this indicator will disappear when you press a key.
  • Page 10: Using Menus

    Calculation history memory data is available and can be replayed, or there is more data above/ below the current screen. The display currently shows an intermediate result Disp of a multi-statement calculation. Important! • For some type of calculation that takes a long time to execute, the display may show only the above indicators (without any value) while it performs the calculation internally.

  • Page 11: Calculation Modes And Calculator Setup

    Calculation Modes and Calculator Setup Calculation Mode Before starting a calculation, you must first enter the correct mode as indicated in the table below. When you want to perform this type of Perform this key operation: operation: General calculations (COMP) Complex number calculations (CMPLX) Statistical and regression calculations…

  • Page 12
    Underlined ( ___ ) settings are initial defaults. Specifying the Display Format To specify this Perform this key operation: display format: Natural Display (SETUP) (MthIO) (MathO) (MthIO-MathO) Natural Display (SETUP) (MthIO) (LineO) (MthIO-LineO) Linear Display (SETUP) (LineIO) (LineIO) Natural Display (MthIO-MathO, MthIO-LineO) causes fractions, irrational numbers, and other expressions to be displayed as they are written on paper.
  • Page 13
    MthIO-LineO (Number Format: Norm 2) LineIO (Number Format: Norm 1) Note • The calculator switches to Linear Display automatically whenever you enter the STAT, BASE-N, MATRIX, or VECTOR Mode. Specifying the Default Angle Unit To specify this as the Perform this key operation: default angle unit: Degrees (SETUP)
  • Page 14
    Fix: The value you specify (from 0 to 9) controls the number of decimal places for displayed calculation results. Calculation results are rounded off to the specified digit before being displayed. Example: (LineIO) 100 ÷ 7 = 14.286 (Fix 3) 14.29 (Fix 2) Sci: The value you specify (from 0 to 9) controls the number of significant digits for displayed calculation results.
  • Page 15: Initializing Calculator Settings

    Specifying the Stat Format Specifies whether or not to display a FREQ (frequency) column in the STAT Mode Statistics Editor. To specify this: Perform this key operation: Show FREQ Column (SETUP) (STAT) (ON) Hide FREQ Column (SETUP) (STAT) (OFF) Specifying the Decimal Point Display Format Specifies whether to display a dot or a comma for the calculation result decimal point.

  • Page 16
    Angle Unit Number Format Norm 1 Fraction Display Format Complex Number a+bi Format Stat Format Decimal Point…
  • Page 17: Inputting Expressions And Values

    Inputting Expressions and Values Basic Input Rules Calculations can be input in the same form as they are written. When you press the priority sequence of the input calculation will be evaluated automatically and the result will appear on the display. Example 1: 4 ×…

  • Page 18: Inputting With Natural Display

    • When Natural Display is selected, pressing while the cursor is at the end of the input calculation will cause it to jump to the beginning, while pressing while the cursor is at the beginning will cause it to jump to the end. •…

  • Page 19: Using Values And Expressions As Arguments (Natural Display Only)

    ± a’√b ± d’√e ± a√b, ± d ± a√b, 1 ≦ a < 100, 1 < b < 1000, 1 ≦ c < 100 The ranges of the coefficients (a, b, c, d, e, f) are as shown below. 0 ≦…

  • Page 20: Overwrite Input Mode (Linear Display Only)

    Overwrite Input Mode (Linear Display only) You can select either insert or overwrite as the input mode, but only while Linear Display is selected. In the overwrite mode, text you input replaces the text at the current cursor location. You can toggle between the insert and overwrite modes by performing the operations: (INS).

  • Page 21: Basic Calculations

    Basic Calculations Use the key to enter the COMP Mode when you want to perform basic calculations. (COMP) Toggling Calculation Results While Natural Display is selected, each press of will toggle the currently displayed calculation result between its fraction form and decimal form, its √…

  • Page 22: Fraction Calculations

    Important! • Depending on the type of calculation result that is on the display when you press the key, the conversion process may take some time to perform. • With certain calculation results, pressing the key will not convert the displayed value.

  • Page 23: Percent Calculations

    • Fractions in calculation results are displayed after being reduced to their lowest terms. To switch a calculation result between improper fraction and mixed fraction form: (a b c d c ) Perform the following key operation: To switch a calculation result between fraction and decimal form: Press Percent Calculations Inputting a value and pressing…

  • Page 24: Multi-Statements

    Note • You must always input something for the degrees and minutes, even if they are zero. Example 1: 2°20’30” + 39’30” = 3°00’00” 3°0’0” Example 2: Convert 2°15’18” to its decimal equivalent. 2°15’18” (Converts sexagesimal to decimal.) 2.255 (Converts decimal to sexagesimal.) 2°15’18”…

  • Page 25: Calculation History And Replay

    (←) 0.000123×10 Calculation History and Replay Calculation History In the COMP, CMPLX, or BASE-N Mode, the calculator remembers up to approximately 200 bytes of data for the newest calculation. You can scroll through calculation history contents using Example: 1 + 1 = 2 2 + 2 = 4 3 + 3 = 6 (Scrolls back.)

  • Page 26: Using Memory Functions

    Using Memory Functions Answer Memory (Ans) The last calculation result obtained is stored in Ans (answer) memory. Ans memory contents are updated whenever a new calculation result is displayed. Answer Memory contents are updated whenever you execute a calculation using any one of the following keys: (M-), (STO).

  • Page 27: Independent Memory (M)

    To recall the contents of variable A (Continuing) To clear the contents of variable A (STO) Independent Memory (M) You can add calculation results to or subtract results from independent memory. The «M» indicator appears on the display when there is any value other than zero stored in independent memory.

  • Page 28: Function Calculations

    Function Calculations Use the key to enter the COMP Mode when you want to perform function calculations. (COMP) Note: Using functions can slow down a calculation, which may delay display of the result. Do not perform any subsequent operation while waiting for the calculation result to appear.

  • Page 29: Angle Unit Conversion

    (sinh) 1 1.175201194 Example 2: cosh 1 = 0 (cosh Angle Unit Conversion °, : These functions specify the angle unit. ° specifies degrees, radians, and grads. Input a function from the menu that appears when you perform the following key operation: (DRG ).

  • Page 30: Power Functions And Power Root Functions

    (,) 16 (MthIO-MathO, MthIO-LineO) Example 3: ) = 6 (MthIO-MathO, MthIO-LineO) Example 4: = 8 (MthIO-MathO, MthIO-LineO) Example 5: To calculate ln 90 (= log 90) to three significant digits (Sci 3) (SETUP) (Sci) 4.50×10 Power Functions and Power Root Functions Note that the input methods for , and…

  • Page 31: Integration Calculations

    (MthIO-MathO) 3√2 4.243 (LineIO) 4.243 Example 6: √5 + √-27 = -1.290024053 (LineIO) -1.290024053 Example 7: = 12 (LineIO) Note • The following functions cannot be input in consecutive sequence: x . If you input 2 , for example, the final will be ignored.

  • Page 32: Integration Calculation Precautions

    Example 2: ∫( , 1, 5, 1 × 10 ) = 0.8 (LineIO) (,) 1 (,) 5 π Example 3: ∫ (sin x + cos x) dx = π (tol: Not specified) (MthIO-MathO) (Angle unit: Rad) π (π) Integration Calculation Precautions •…

  • Page 33: Differential Calculations

    (1) Positive Part (2) Negative Part When integration values fluctuate widely due to minute shifts in the integration interval Divide the integration interval into multiple parts (in a way that breaks areas of wide fluctuation into small parts), perform integration on each part, and then combine the results.

  • Page 34: Differential Calculation Precautions

    Differential Calculation Precautions • Differential calculation can be performed in the COMP Mode only. • The following cannot be used in f(x), a, b, or tol: Pol, Rec, ∫, d/dx, Σ. • When using a trigonometric function in f(x), specify Rad as the angle unit.

  • Page 35: Rectangular-Polar Coordinate Conversion

    Rectangular-Polar Coordinate Conversion Pol converts rectangular coordinates to polar coordinates, while Rec converts polar coordinates to rectangular coordinates. (1) Rectangular Coordinates (Rec) (2) Polar Coordinates (Pol) Specify the angle unit before performing calculations. The calculation result for r and θ and for x and y are each assigned Calculation result θ…

  • Page 36: Factorial Function (!)

    Factorial Function (!) Example: (5 + 3)! = 40320 (x!) 40320 Absolute Value Function (Abs) Note that the input method is different depending upon whether you are using Natural Display or Linear Display. Example: |2 — 7| × 2 = 10 (MthIO-MathO) (Abs) 2 (LineIO)

  • Page 37: Permutation (Npr) And Combination (Ncr)

    (RanInt) 1 (,) 6 (Results shown here are for illustrative purposes only. Actual results will differ.) Permutation (nPr) and Combination (nCr) Example: To determine the number of permutations and combinations possible when selecting four people from a group of 10. Permutations: 10 (nPr) 4 5040…

  • Page 38: Using Calc

    Using CALC CALC lets you save calculation expressions that contain variables, which you can then recall and execute in the COMP Mode and the CMPLX Mode. The following describes the types of expressions you can save with CALC. • Expressions: 2X + 3Y, 2AX + 3BX + C, A + Bi •…

  • Page 39: Using Solve

    (CMPLX) (CMPLX) ( r∠θ) 2∠30 2∠60 To exit CALC: Note • During the time from when you press until you exit CALC by pressing , you should use Linear Display input procedures for input. Using SOLVE SOLVE uses Newton’s method to approximate the solution of equations. Note that SOLVE can be used in the COMP Mode only.

  • Page 40: Solution Screen Contents

    (SOLVE) (1) Prompts for input of a value for Y (2) Current value of Y (3) Current value of X Input an initial value for X (Here, input 1): Solution Screen To exit SOLVE: Note • During the time from when you press (SOLVE) until you exit SOLVE by pressing , you should use Linear Display input procedures for input.

  • Page 41: Continue Screen

    (1) Equation (The equation you input.) (2) Variable solved for (3) Solution (4) (Left Side) — (Right Side) result «(Left Side) — (Right Side) result» shows the result when the right side of the equation is subtracted from the left side, after assigning the obtained value to the variable being solved for.

  • Page 42: Scientific Constants

    Scientific Constants Your calculator comes with 40 built-in scientific constants that can be used in any mode besides BASE-N. Each scientific constant is displayed as a unique symbol (such as π), which can be used inside of calculations. To input a scientific constant into a calculation, press (CONST) and then input the two-digit number that corresponds to the constant you want.

  • Page 43
    07: (μN) nuclear magneton 08: (μB) Bohr magneton 09: ( ) Planck 10: (α) fine-structure constant constant, rationalized 11: (re) classical electron radius 12: (λ ) Compton wavelength 14: (λ ) proton Compton 13: (γ ) proton gyromagnetic ratio wavelength 15: (λ…
  • Page 44: Metric Conversion

    Metric Conversion The calculator’s built-in metric conversion commands make it simple to convert values from one unit to another. You can use the metric conversion commands in any calculation mode except for BASE-N and TABLE. To input a metric conversion command into a calculation, press (CONV) and then input the two-digit number that corresponds to the command you want.

  • Page 45
    17: pc km 18: km pc 19: km/h m/s 20: m/s km/h 21: oz g 22: g oz 23: lb kg 24: kg lb 25: atm Pa 26: Pa atm 27: mmHg Pa 28: Pa mmHg 29: hp kW 30: kW hp 31: kgf/cm 32: Pa kgf/cm 33: kgf •…
  • Page 46: Using Calculation Modes

    Using Calculation Modes Complex Number Calculations (CMPLX) To perform complex number calculations, first press (CMPLX) to enter the CMPLX Mode. You can use either rectangular coordinates (a+bi) or polar coordinates (r∠θ) to input complex numbers. Complex number calculation results are displayed in accordance with the complex number format setting on the setup menu.

  • Page 47: Cmplx Mode Calculation Examples

    CMPLX Mode Calculation Examples Example 1: (1 — i) i (MthIO-MathO) (Complex number format: a +bi) Example 2: (1 + i) + (1 — i) = 0 (MthIO-MathO) Example 3: To obtain the conjugate complex number of 2 + 3i (Complex number format: a+bi) (CMPLX) (Conjg) 2…

  • Page 48: Inputting Data

    To select this type of statistical calculation: Press this key: (Regression formula shown in parentheses) Single-variable (X) (1-VAR) Paired-variable (X, Y), linear regression (A+BX) (y = A + Bx) Paired-variable (X, Y), quadratic regression (_+CX (y = A + Bx + Cx Paired-variable (X, Y), logarithmic regression (ln X) (y = A + Blnx)

  • Page 49
    The Statistics Editor provides 80 rows for data input when there is an X column only, 40 rows when there are X and FREQ columns or X and Y columns, or 26 rows when there are X, Y, and FREQ columns. Note •…
  • Page 50: Statistics Calculation Screen

    To delete all Statistics Editor contents: In the Statistics Editor, perform the following key operation: (STAT) (Edit) (Del-A). Statistics Calculation Screen The Statistics Calculation Screen is for performing statistical calculations with the data you input with the Statistics Editor. Pressing the while the Statistics Editor is displayed switches to the Statistics Calculation Screen.

  • Page 51
    Display the Var sub-menu of commands for (Var) calculating the mean, standard deviation, etc. Display the Distr sub-menu of commands for Single-variable: normal distribution calculations (Distr) • For more information, see «Performing Normal Distribution Calculations». Display the Reg sub-menu of commands for regression calculations Paired-variable: •…
  • Page 52
    Distr Sub-menu ( (STAT) (Distr)) (P() This menu can be used to calculate the (Q() probability of standard normal distribution. • For details see «Performing Normal (R() Distribution Calculations». ( t) MinMax Sub-menu ( (STAT) (MinMax)) Select this menu When you want to obtain this: item: (minX) Minimum value…
  • Page 53
    Var Sub-menu ( (STAT) (Var)) Select this menu When you want to obtain this: item: Number of samples Mean of the X-data (σ Population standard deviation of the X-data Sample standard deviation of the X-data Mean of the Y-data (σ Population standard deviation of the Y-data Sample standard deviation of the Y-data Reg Sub-menu (…
  • Page 54
    Commands when Quadratic Regression Calculation (_+CX ) Is Selected Reg Sub-menu ( (STAT) (Reg)) Select this menu When you want to obtain this: item: Regression coefficient constant term A Linear coefficient B of the regression coefficients Quadratic coefficient C of the regression coefficients (x ˆ…
  • Page 55: Calculating Estimated Values

    (110, 7310), (200, 8800), (290, 9310). Specify Fix 3 (three decimal places) for results. (SETUP) (STAT) (OFF) (SETUP) (Fix) (STAT) (A+BX) 3150 7310 8800 9310 (STAT) (Reg) 0.923 (STAT) (Type) (ln X) 0.998 (STAT) (Reg) (STAT) (Reg) -3857.984 (STAT) (Reg) 2357.532 Results: Linear Regression Correlation Coefficient: 0.923…

  • Page 56: Base-N Calculations (Base-N)

    menu that appears when you perform the following key operation: (STAT) (Distr). P, Q, R: These functions take the argument t and determine a probability of standard normal distribution as illustrated below. t: This function is preceded by the argument X, and determines the X — x normalized variate X t = σx…

  • Page 57
    The initial default number mode when you enter the BASE-N Mode is decimal, which means input and calculation results use the decimal number format. Press one of the following keys to switch number modes: (DEC) for decimal, (HEX) for hexadecimal, (BIN) for binary, or (OCT) for octal.
  • Page 58: Specifying The Number Mode Of A Particular Input Value

    -2147483648 ≦ x ≦ 2147483647 Decimal 00000000 ≦ x ≦ 7FFFFFFF 80000000 ≦ x ≦ FFFFFFFF Positive: Hexadecimal Negative: Specifying the Number Mode of a Particular Input Value You can input a special command immediately following a value to specify the number mode of that value.

  • Page 59
    Press this key: When you want to input this: Logical operator «and» (logical product), (and) which returns the result of a bitwise AND Logical operator «or» (logical sum), which (or) returns the result of a bitwise OR Logical operator «xor» (exclusive logical (xor) sum), which returns the result of a bitwise Logical operator «xnor»…
  • Page 60: Equation Calculations (Eqn)

    (BASE) (Not) 1010 1111111111110101 Example 6: To negate (take the two’s complement) of 101101 (Neg(101101 (BASE) (Neg) 101101 1111111111010011 Note • In the case of a negative binary, octal or hexadecimal value, the calculator converts the value to binary, takes the two’s complement, and then converts back to the original number base.

  • Page 61: Changing The Current Equation Type Setting

    • To solve 2x + x — 3 = 0, for example, press in step 2, and then input the following for the coefficients (a = 2, b = 1, c = -3): 2 • To change a coefficient value you already have input, move the cursor to the appropriate cell, input the new value, and then press •…

  • Page 62: Matrix Calculations (Matrix)

    (EQN) X + b Y + c Z = d (X=) (Y=) (Z=) Example 3: + x + = 0 (MthIO-MathO) (EQN) + bX + c = 0) √2 =) — √2 Example 4: — 2√2x + 2 = 0 (MthIO-MathO) (EQN) + bX + c = 0) (X=)

  • Page 63
    1. Press (MATRIX) to enter the MATRIX Mode. 2. Press (MatA) (2×2). • This will display the Matrix Editor for input of the elements of the 2 × 2 matrix you specified for MatA. (1) «A» stands for «MatA». 3. Input the elements of MatA: 2 4.
  • Page 64: Matrix Answer Memory

    Matrix Answer Memory Whenever the result of a calculation executed in the MATRIX Mode is a matrix, the MatAns screen will appear with the result. The result also will be assigned to a variable named «MatAns». The MatAns variable can be used in calculations as described below. •…

  • Page 65: Matrix Calculation Examples

    • If you want to copy MatA, for example, perform the following key operation: (MATRIX) (Data) (MatA). • If you want to copy MatAns contents, perform the following to display the MatAns screen: (MATRIX) (MatAns) 2. Press (STO), and then perform one of the following key operations to specify the copy destination: (MatA), (MatB), or…

  • Page 66: Creating A Numerical Table From A Function (Table)

    (MATRIX) (MatA) (MATRIX) (MatA) Creating a Numerical Table from a Function (TABLE) TABLE generates a numerical table for x and f(x) using an input f(x) function. Perform the following steps to generate a numerical table. 1. Press (TABLE) to enter the TABLE Mode. 2.

  • Page 67
    Input the increment step (Default = 1). Note: The Step specifies by how much the Start value should be sequentially incremented as the numerical table is generated. If you Step? specify Start = 1 and Step = 1, X sequentially will be assigned the values 1, 2, 3, 4, and so on to generate the numerical table until the End value is reached.
  • Page 68: Vector Calculations (Vector)

    Important! • The function you input for numerical table generation is deleted whenever you display the setup menu in the TABLE Mode and switch between Natural Display and Linear Display. Vector Calculations (VECTOR) Use the VECTOR Mode to perform 2-dimensional and 3-dimensional vector calculations.

  • Page 69: Vector Answer Memory

    (2) «Ans» stands for «VctAns». Note: «VctAns» stands for «Vector Answer Memory». See «Vector Answer Memory» for more information. Vector Answer Memory Whenever the result of a calculation executed in the VECTOR Mode is a vector, the VctAns screen will appear with the result. The result also will be assigned to a variable named «VctAns».

  • Page 70: Vector Calculation Examples

    • If you want to copy VctA, for example, perform the following key operation: (VECTOR) (Data) (VctA). • If you want to copy VctAns contents, perform the following to display the VctAns screen: (VECTOR) (VctAns) 2. Press (STO), and then perform one of the following key operations to specify the copy destination: (VctA), (VctB), or…

  • Page 71
    Example 7: Determine the angle formed by VctA and VctB to three , which becomes θ = cos decimal places (Fix 3). (Angle unit: Deg) (A∙B) (A∙B) (cosθ = |A||B| |A||B| (SETUP) (Fix) (VECTOR) (VctA) (VECTOR) (Dot) (VECTOR) (VctB) (Abs) (VECTOR) (VctA) (Abs)
  • Page 72: Technical Information

    Technical Information Errors The calculator will display an error message whenever an error occurs for any reason during a calculation. There are two ways to exit an error message display: Pressing to display the location of the error, or pressing to clear the message and calculation.

  • Page 73
    • Your input exceeds the allowable input range (particularly when using functions). • The calculation you are performing contains an illegal mathematical operation (such as division by zero). Action: • Check the input values, reduce the number of digits, and try again. •…
  • Page 74
    • You are trying to perform a calculation with matrices or vectors whose dimensions do not allow that type of calculation. Action: • Specify the dimension of the matrix or vector and then perform the calculation again. • Check the dimensions specified for the matrices or vectors to see if they are compatible with the calculation.
  • Page 75: Before Assuming Malfunction Of The Calculator

    Action: • Try increasing the tol value. Note that this also decreases solution precision. Before Assuming Malfunction of the Calculator… Perform the following steps whenever an error occurs during a calculation or when calculation results are not what you expected. If one step does not correct the problem, move on to the next step.

  • Page 76: Calculation Priority Sequence

    3. Remove the battery, and then load a new battery with its plus (+) and minus (-) ends facing correctly. 4. Replace the cover. 5. Initialize the calculator: (CLR) (All) (Yes). • Do not skip the above step! Calculation Priority Sequence The priority sequence of input calculations is evaluated in accordance with the rules below.

  • Page 77: Calculation Ranges, Number Of Digits, And Precision

    Permutation (nPr), combination (nCr), complex number polar coordinate symbol (∠) Dot product (•) Multiplication (×), division (÷) Addition (+), subtraction (-) and (logical operator) or, xor, xnor (logical operators) Note • When squaring a negative value (such as -2), the value being squared must be enclosed in parentheses ( ).

  • Page 78: Function Calculation Input Ranges And Precision

    Function Calculation Input Ranges and Precision Functions Input Range 0 ≦ |x| < 9 × 10 0 ≦ |x| < 157079632.7 sinx 0 ≦ |x| < 1 × 10 cosx Same as sinx, except when |x| = (2n-1) × Same as sinx, except when |x| = (2n-1) × tanx π/2.

  • Page 79
    0 ≦ x ≦ 69 (x is an integer) 0 ≦ n < 1 × 10 , 0 ≦ r ≦ n (n, r are integers) 1 ≦ {n!/(n-r)!} < 1 × 10 0 ≦ n < 1 × 10 , 0 ≦…
  • Page 80: Specifications

    π form. It also can cause calculation results that should be in decimal form to appear in π form. Specifications fx-570ES PLUS Power Requirements: AAA-size battery R03 (UM-4) × 1 Approximate Battery Life:…

  • Page 81: Verifying The Authenticity Of Your Calculator

    Approximate Weight: 95 g (3.4 oz) including the battery Verifying the Authenticity of Your Calculator Use the steps below to verify that your calculator is a genuine CASIO calculator. 1. Press 2. Press • This displays the information below. — Calculator ID number (24-character string) — QR Code for accessing the Worldwide Education Service (https://wes.casio.com/calc/)

  • Page 82: Frequently Asked Questions

    (Setup) (Yes). ■ When I execute a function calculation, why do I get a calculation result that is completely different from older CASIO calculator models? → With a Natural Textbook Display model, the argument of a function that uses parentheses must be followed by a closing parenthesis. Failing to…

  • Page 83
    Older (S-V.P.A.M.) Model: 15.5 Natural Textbook Display Model: (LineIO) 15.5 Failure to press here as shown below will result in calculation of sin 0.7071067812…
  • Page 84
    © 2019 CASIO COMPUTER CO., LTD.

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CASIO FX-570ES PLUS/991ES PLUS computing User Guide

Addeddate
2022-01-09 08:02:36
Identifier
manuallib-id-2629582
Identifier-ark
ark:/13960/s2n8mqr2d09
Ocr
tesseract 5.0.0-1-g862e
Ocr_autonomous
true
Ocr_detected_lang
en
Ocr_detected_lang_conf
1.0000
Ocr_detected_script
Latin
Cyrillic
Ocr_detected_script_conf
0.9972
0.0028
Ocr_module_version
0.0.14
Ocr_parameters
-l rus+eng+kir+lat+Latin+Cyrillic
Ppi
300

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User’s Guide

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Contents

Important Information …………………………………………………….

2

Sample Operations…………………………………………………………

2

Initializing the Calculator ………………………………………………..

2

Safety Precautions …………………………………………………………

2

Handling Precautions……………………………………………………..

2

Removing the Hard Case ………………………………………………..

3

Turning Power On and Off ………………………………………………

3

Adjusting Display Contrast …………………………………………….

3

Key Markings …………………………………………………………………

3

Reading the Display ……………………………………………………….

4

Using Menus ………………………………………………………………….

5

Specifying the Calculation Mode …………………………………….

5

Configuring the Calculator Setup ……………………………………

5

Inputting Expressions and Values …………………………………..

7

Toggling Calculation Results ………………………………………….

9

Basic Calculations ……………………………………………………….

10

Function Calculations …………………………………………………..

13

Complex Number Calculations (CMPLX) ……………………….

18

Using CALC………………………………………………………………….

19

Using SOLVE………………………………………………………………..

20

Statistical Calculations (STAT) ………………………………………

22

Base-n Calculations (BASE-N) ………………………………………

26

Equation Calculations (EQN) ………………………………………..

28

Matrix Calculations (MATRIX)………………………………………..

29

Creating a Number Table from a Function (TABLE) ………..

32

Vector Calculations (VECTOR) ………………………………………

33

Scientific Constants ……………………………………………………..

35

Metric Conversion ………………………………………………………..

37

Calculation Ranges, Number of Digits,

and Precision ……………………………………………………………….

38

Errors …………………………………………………………………………..

40

Before Assuming Malfunction of the Calculator… ………….

41

Replacing the Battery……………………………………………………

42

Specifications ………………………………………………………………

42

Frequently Asked Questions…………………………………………

43

E-1

Important Information

The displays and illustrations (such as key markings) shown in this User’s Guide are for illustrative purposes only, and may differ somewhat from the actual items they represent.

The contents of this manual are subject to change without notice.

In no event shall CASIO Computer Co., Ltd. be liable to anyone for special, collateral, incidental, or consequential damages in connection with or arising out of the purchase or use of this product and items that come with it. Moreover, CASIO Computer Co., Ltd. shall not be liable for any claim of any kind whatsoever by any other party arising out of the use of this product and the items that come with it.

Be sure to keep all user documentation handy for future reference.

Sample Operations

Sample operations in this manual are indicated by a icon. Unless specifically stated, all sample operations assume that the calculator is in its initial default setup. Use the procedure under “Initializing the Calculator” to return the calculator to its initial default setup.

For information about the , 1, B, and *marks that are shown in the sample operations, see “Configuring the Calculator Setup”.

Initializing the Calculator

Perform the following procedure when you want to initialize the calculator and return the calculation mode and setup to their initial default settings. Note that this operation also clears all data currently in calculator memory.

(CLR) (All) (Yes)

Safety Precautions

Battery

Keep batteries out of the reach of small children.

Use only the type of battery specified for this calculator in this manual.

Handling Precautions

Even if the calculator is operating normally, replace the battery at least once every three years (LR44 (GPA76)) or two years (R03 (UM-4)).

A dead battery can leak, causing damage to and malfunction of the calculator. Never leave a dead battery in the calculator. Do not try using the calculator while the battery is completely dead (fx-991ES PLUS).

The battery that comes with the calculator discharges slightly during shipment and storage. Because of this, it may require replacement sooner than the normal expected battery life.

Do not use an oxyride battery* or any other type of nickel-based primary battery with this product. Incompatibility between such batteries and product specifications can result in shorter battery life and product malfunction.

Avoid use and storage of the calculator in areas subjected to temperature extremes, and large amounts of humidity and dust.

Do not subject the calculator to excessive impact, pressure, or

Never try to take the calculator apart.

Use a soft, dry cloth to clean the exterior of the calculator.

Whenever discarding the calculator or batteries, be sure to do so in

accordance with the laws and regulations in your particular area.

*Company and product names used in this manual may be registered trademarks or trademarks of their respective owners.

Removing the Hard Case

Before using the calculator, slide its hard case downwards to remove it, and then affix the hard case to the back of the calculator as shown in the illustration nearby.

Turning Power On and Off

Press to turn on the calculator.

Press (OFF) to turn off the calculator.

Auto Power Off

Your calculator will turn off automatically if you do not perform any operation for about 10 minutes. If this happens, press the key to turn the calculator back on.

Adjusting Display Contrast

Display the CONTRAST screen by performing the following key operation:(SETUP)A (;CONT ). Next, use B and C to adjust contrast. After the setting is the way you want, press .

Important: If adjusting display contrast does not improve display readability, it probably means that battery power is low. Replace the battery.

Key Markings

Pressing the or key followed by a second key performs the alternate function of the second key. The alternate function is indicated by the text printed above the key.

The following shows what the different colors of the alternate function key text mean.

Alternate function

sin–1D

s

Keycap function

If key marking text

It means this:

is this color:

Yellow

Press and then the key to access the

applicable function.

Red

Press

and then the key to input the

applicable variable, constant, or symbol.

Purple (or enclosed

Enter the CMPLX Mode to access the function.

in purple brackets)

Green (or enclosed in

Enter the BASE-N Mode to access the function.

green brackets)

E-3

Reading the Display

The display of the calculator shows expressions you input, calculation results, and various indicators.

Input expression

Indicators

Math

Math

Calculation result

If a indicator appears on the right side of the calculation result, it means the displayed calculation result continues to the right. Use C and B to scroll the calculation result display.

If a E indicator appears on the right side of the input expression, it means the displayed calculation continues to the right. Use Cand Bto scroll the input expression display. Note that if you want to scroll the input expression while both the and Eindicators are displayed, you will need to press first and then use C and B to scroll.

Display indicators

This

Means this:

indicator:

The keypad has been shifted by pressing the key. The keypad will unshift and this indicator will disappear when you press a key.

The alpha input mode has been entered by pressing the key. The alpha input mode will be exited and this

indicator will disappear when you press a key.

MThere is a value stored in independent memory.

The calculator is standing by for input of a variable name to

STO

assign a value to the variable. This indicator appears after

you press =(STO).

The calculator is standing by for input of a variable name to

RCL

recall the variable’s value. This indicator appears after you

press =.

STAT

The calculator is in the STAT Mode.

CMPLX

The calculator is in the CMPLX Mode.

MAT

The calculator is in the MATRIX Mode.

VCT

The calculator is in the VECTOR Mode.

The default angle unit is degrees.

The default angle unit is radians.

The default angle unit is grads.

FIX

A fixed number of decimal places is in effect.

SCI

A fixed number of significant digits is in effect.

Math

Natural Display is selected as the display format.

Calculation history memory data is available and can be

>

replayed, or there is more data above/below the current

screen.

E-4

Disp

The display currently shows an intermediate result of a multi-statement calculation.

Important: For some type of calculation that takes a long time to execute, the display may show only the above indicators (without any value) while it performs the calculation internally.

Using Menus

Some of the calculator’s operations are performed using menus. Pressingor @, for example, will display a menu of applicable functions.

The following are the operations you should use to navigate between menus.

You can select a menu item by pressing the number key that corresponds to the number to its left on the menu screen.

The indicator in the upper right corner of a menu means there is another menu below the current one. The > indicator means another menu above. Use A and D to switch between menus.

To close a menu without selecting anything, press .

Specifying the Calculation Mode

When you want to perform this type of

Perform this key

operation:

operation:

General calculations

(COMP)

Complex number calculations

(CMPLX)

Statistical and regression calculations

(STAT)

Calculations involving specific number

systems (binary, octal, decimal,

(BASE-N)

hexadecimal)

Equation solution

(EQN)

Matrix calculations

(MATRIX)

Generation of a number table based on an

(TABLE)

expression

Vector calculations

(VECTOR)

Note: The initial default calculation mode is the COMP Mode.

Configuring the Calculator Setup

First perform the following key operation to display the setup menu:(SETUP). Next, use A and D and the number keys to configure the settings you want.

Underlined ( ___ ) settings are initial defaults.

MthIO LineIO Specifies the display format.

Natural Display (MthIO) causes fractions,

irrational numbers, and other expressions to be

displayed as they are written on paper.

E-5

Linear Display (LineIO) causes fractions and other expressions to be displayed in a single line.

Note: • The calculator switches to Linear Display automatically whenever you enter the STAT, BASE-N, MATRIX, or VECTOR Mode. • In this manual, the symbol next to a sample operation indicates Natural Display, while the 1 symbol indicates Linear Display.

Deg Rad Gra Specifies degrees, radians or grads as the angle unit for value input and calculation result display.

Note: In this manual, the B symbol next to a sample operation indicates degrees, while the * symbol indicates radians.

Fix Sci Norm Specifies the number of digits for display of a calculation result.

Fix: The value you specify (from 0 to 9) controls the number of decimal places for displayed calculation results. Calculation results are rounded off to the specified digit before being displayed.

Example: 1 100 ÷ 7 = 14.286 (Fix 3)

14.29(Fix 2)

Sci: The value you specify (from 1 to 10) controls the number of significant digits for displayed calculation results. Calculation results are rounded off to the specified digit before being displayed.

Example: 1 1 ÷ 7 = 1.4286 σ 10–1

(Sci 5)

1.429 σ 10–1

(Sci 4)

Norm: Selecting one of the two available settings (Norm 1, Norm 2) determines the range in which results will be displayed in non-exponential format. Outside the specified range, results are displayed using exponential format.

Norm 1: 10–2 |x|, |x| > 1010 Norm 2: 10–9 |x|, |x| > 1010 Example: 1 1 ÷ 200 = 5 σ 10–3 (Norm 1)

0.005 (Norm 2)

A ab/c A d/c Specifies either mixed fraction (ab/c) or improper fraction (d/c) for display of fractions in calculation results.

A CMPLX a+bi ; r θ Specifies either rectangular coordinates (a+bi) or polar coordinates (r θ) for EQN Mode solutions.

A STAT ON ; OFF Specifies whether or not to display a FREQ (frequency) column in the STAT Mode Stat Editor.

A Disp Dot ; Comma Specifies whether to display a dot or a comma for the calculation result decimal point. A dot is always displayed during input.

Note: When dot is selected as the decimal point, the separator for multiple results is a comma (,). When comma is selected, the separator is a semicolon (;).

A ;CONT Adjusts display contrast. See “Adjusting Display Contrast” for details.

E-6

Initializing Calculator Settings

Perform the following procedure to initialize the calculator, which returns the calculation mode to COMP and returns all other settings, including setup menu settings, to their initial defaults.

(CLR) (Setup) (Yes)

Inputting Expressions and Values

Basic Input Rules

Calculations can be input in the same form as they are written. When you press the priority sequence of the input calculation will be evaluated automatically and the result will appear on the display.

4 σσsin30 σσ(30 + 10 σσ3) = 120

4 Q30 30 10

3

1

*

*2

*3

*1 Input of the closing parenthesis is required for sin, sinh, and other functions that include parentheses.

*2 These multiplication symbols (σ) can be omitted. A multiplication symbol can be omitted when it occurs immediately before an opening parenthesis, immediately before sin or other function that includes parentheses, immediately before the Ran# (random number) function, or immediately before a variable (A, B, C, D, E, F, M, X, Y), scientific constants, Π or e.

*3 The closing parenthesis immediately before the operation can be omitted.

Input example omitting

*2 and *3 operations in the above

example.

4 Q30 30 10

3

Note: • If the calculation becomes longer than the screen width during input, the screen will scroll automatically to the right and the ; indicator will appear on the display. When this happens, you can scroll back to the left by using B and C to move the cursor. • When Linear Display is selected, pressing Dwill cause the cursor to jump to the beginning of the calculation, while A will jump to the end. • When Natural Display is selected, pressing C while the cursor is at the end of the input calculation will cause it to jump to the beginning, while pressing B while the cursor is at the beginning will cause it to jump to the end. • You can input up to 99 bytes for a calculation. Each numeral, symbol, or function normally uses one byte. Some functions require three to 13 bytes. • The cursor will change shape to Iwhen there are 10 bytes or less of allowed input remaining. If this happens, end calculation input and then press .

Calculation Priority Sequence

The priority sequence of input calculations is evaluated in accordance with the rules below. When the priority of two expressions is the same, the calculation is performed from left to right.

E-7

1st

Parenthetical expressions

2nd

Functions that require an argument to the right and a closing

parenthesis “)” following the argument.

3rd

Functions that come after the input value (x2, x3, x–1, x!, °’ ”, °, r, g,

%, t), powers (x9), roots ( )

4th

Fractions

Negative sign (–), base-n symbols (d, h, b, o)

Note: When squaring a negative value (such as –2), the value

being squared must be enclosed in parentheses ( 2 7

5th

). Since x2 has a higher priority than the negative sign,

inputting 2 7 would result in the squaring of 2 and then

appending a negative sign to the result. Always keep the priority

sequence in mind, and enclose negative values in parentheses

when required.

6th

Metric conversion commands (cm in, etc.),

STAT Mode estimated values (K, L, K1, K2)

7th

Multiplication where the multiplication sign is omitted

8th

Permutation (nPr), combination (nCr), complex number polar

coordinate symbol ( )

9th

Dot product (·)

10th

Multiplication, division (σ, ÷)

11th

Addition, subtraction (+, –)

12th

Logical AND (and)

13th

Logical OR, XOR, XNOR (or, xor, xnor)

Inputting with Natural Display

Selecting Natural Display makes it possible to input and display fractions and certain functions (log, x2, x3, x9, , , , x−1, 109, e9, ° , d/dx, 3, Abs) just as they are written in your textbook.

2 + ‘2

1 + ‘2

2

2 CC1 2

Important: • Certain types of expressions can cause the height of a calculation formula to be greater than one display line. The maximum allowable height of a calculation formula is two display screens (31 dots σ 2). Further input will become impossible if the height of the calculation you are inputting exceeds the allowable limit. • Nesting of functions and parentheses is allowed. Further input will become impossible if you nest too many functions and/or parentheses. If this happens, divide the calculation into multiple parts and calculate each part separately.

Note: When you press and obtain a calculation result using Natural Display, part of the expression you input may be cut off. If you need to view the entire input expression again, press and then use B and C to scroll the input expression.

E-8

argument of a function. After you have input it the argument of , resulting in67 .

Using Values and Expressions as Arguments

(Natural Display only)

A value or an expression that you have already input can be used as the

7

6 , for example, you can make

7

7

To input 1 +

and then change it to 1 +6

6

1 7 6

BBBB&(INS)

As shown above, the value or expression to the right of the cursor after &(INS) are pressed becomes the argument of the function that is specified next. The range encompassed as the argument is everything up to the first open parenthesis to the right, if there is one, or everything up to the first function to the right (sin(30), log2(4), etc.)

This capability can be used with the following functions: , , ,( ), ( ), ( ), 5( ), 2( ), ,, ( ), @(Abs).

Overwrite Input Mode (Linear Display only)

You can select either insert or overwrite as the input mode, but only while Linear Display is selected. In the overwrite mode, text you input replaces the text at the current cursor location. You can toggle between the insert and overwrite modes by performing the operations: &(INS). The cursor appears as “I” in the insert mode and as “” in the overwrite mode.

Note: Natural Display always uses the insert mode, so changing display format from Linear Display to Natural Display will automatically switch to the insert mode.

Correcting and Clearing an Expression

To delete a single character or function: Move the cursor so it is directly to the right of the character or function you want to delete, and then press &. In the overwrite mode, move the cursor so it is directly under the character or function you want to delete, and then press &.

To insert a character or function into a calculation: Use B and C to move the cursor to the location where you want to insert the character or function and then input it. Be sure always to use the insert mode if Linear Display is selected.

To clear all of the calculation you are inputting: Press .

Toggling Calculation Results

While Natural Display is selected, each press of 5 will toggle the currently displayed calculation result between its fraction form and decimal form, itsform and decimal form, or its Π form and decimal form.

E-9

Π ÷ 6 =

1

= 0.5235987756

6

(Π) 6

1

f

0.5235987756

6

(‘ + 2) σ ‘ =

‘6 + 2’3

= 5.913591358

2

3

2 C 2

3 ‘6 + 23

5.913591358

f

While Linear Display is selected, each press of 5 will toggle the currently displayed calculation result between its decimal form and fraction form.

1

÷ 5 = 0.2 =

1

1

5

0.2

1Y5

1

5

f

1

4

=

1

= 0.2

1

5

5

1Y5

0.2

1

4

5

f

Important: • Depending on the type of calculation result that is on the display when you press the 5 key, the conversion process may take some time to perform. • With certain calculation results, pressing the 5 key will not convert the displayed value.

Note: With Natural Display, pressing instead of after inputting a calculation will display the calculation result in decimal form. Pressing 5 after that will switch to the fraction form or Π form of the calculation result. The form of the result will not appear in this case.

Basic Calculations

Fraction Calculations

Note that the input method for fractions is different, depending upon whether you are using Natural Display or Linear Display.

2

+

1

=

7

2 3 C 1 2 7

3

2

6

6

or 2 A3 C 1 A2

7

6

1

2 3 1 2 7Y6

1

1

1

4 − 3

2

=

2

4

(

) 3 C1 A2

2

1

4 3 1 2 1Y2

Note: • Mixing fractions and decimal values in a calculation while Linear Display is selected will cause the result to be displayed as a decimal value.

• Fractions in calculation results are displayed after being reduced to their lowest terms.

To switch a calculation result between improper fraction and mixed fraction format: Perform the following key operation: 5( )

To switch a calculation result between fraction and decimal format:

Press 5.

E-10

Percent Calculations

Inputting a value and pressing (%) causes the input value to become a percent.

150 σσ20% = 30

150 20 (%) 30

Calculate what percentage of 880 is 660. (75%)

660 880 (%) 75

Increase 2500 by 15%. (2875)

2500 2500 15 (%) 2875

Discount 3500 by 25%. (2625)

3500 3500 25 (%) 2625

Degree, Minute, Second (Sexagesimal) Calculations

Performing an addition or subtraction operation between sexagesimal values, or a multiplication or division operation between a sexagesimal value and a decimal value will cause the result to be displayed as a sexagesimal value. You also can convert between sexagesimal and decimal. The following is the input format for a sexagesimal value: {degrees} {minutes} {seconds} .

Note: You must always input something for the degrees and minutes, even if they are zero.

2°20´30˝ + 39´30˝ = 3°00´00˝ 2 20 30 0 39 30 3°0´0˝

Convert 2°15´18˝ to its decimal equivalent.

2 15 18 2°15´18˝

(Converts sexagesimal to decimal.)

2.255

(Converts decimal to sexagesimal.)

2°15´18˝

Multi-Statements

You can use the colon character (:) to connect two or more expressions and execute them in sequence from left to right when you press .

3 + 3 : 3 σ 3

3 3 (:) 3 3

6

9

Using Engineering Notation

A simple key operation transforms a displayed value to engineering notation.

Transform the value 1234 to engineering notation, shifting the decimal point to the right.

$ 1.234×103 $ 1234×100

E-11

Transform the value 123 to engineering notation, shifting the decimal point to the left.

$(κ) 0.123×103$(κ) 0.000123×106

Calculation History

In the COMP, CMPLX, or BASE-N Mode, the calculator remembers up to approximately 200 bytes of data for the newest calculation. You can scroll through calculation history contents using D and A.

1 + 1 = 2

1 1

2

2 + 2 = 4

2 2

4

3 + 3 = 6

3 3

6

(Scrolls back.)

D

4

(Scrolls back again.)

D

2

Note: Calculation history data is all cleared whenever you press , when you change to a different calculation mode, when you change the display format, or whenever you perform any reset operation.

Replay

While a calculation result is on the display, you can press B or C to edit the expression you used for the previous calculation.

4

× 3

+ 2.5

= 14.5

1

4 3 2.5

14.5

4

× 3

− 7.1

= 4.9

(Continuing) B&&&& 7.1

4.9

Note: If you want to edit a calculation when the indicator is on the right side of a calculation result display (see “Reading the Display”), press and then use B and C to scroll the calculation.

Answer Memory (Ans)

The last calculation result obtained is stored in Ans (answer) memory. Ans memory contents are updated whenever a new calculation result is displayed.

To divide the result of 3 σ 4 by 30

1

3 4

(Continuing)

30

123

+ 456 = 579 123 456

789

579 = 210

(Continuing) 789

E-12

Variables (A, B, C, D, E, F, X, Y)

Your calculator has eight preset variables named A, B, C, D, E, F, X, and Y. You can assign values to variables and also use the variables in calculations.

To assign the result of 3 + 5 to variable A

3 5 =(STO)E(A)

8

To multiply the contents of variable A by 10

(Continuing)

E(A)

10

80

To recall the contents of variable A (Continuing)

=E(A)

8

To clear the contents of variable A

0 =(STO)E(A)

0

Independent Memory (M)

You can add calculation results to or subtract results from independent memory. The “M” appears on the display when there is any value other than zero stored in independent memory.

To clear the contents of M

0 =(STO)J(M)

0

To add the result of 10 σ 5 to M

(Continuing)

10 5 J

50

To subtract the result of 10 + 5 from M

15

(Continuing) 10 5 J(M–)

To recall the contents of M

(Continuing)

=J(M)

35

Note: Variable M is used for independent memory.

Clearing the Contents of All Memories

Ans memory, independent memory, and variable contents are retained even if you press , change the calculation mode, or turn off the calculator. Perform the following procedure when you want to clear the contents of all memories.

(CLR) (Memory) (Yes)

Function Calculations

For actual operations using each function, see the “Examples” section following the list below.

: Π is displayed as 3.141592654, but Π = 3.14159265358980 is used for internal calculations.

e: e is displayed as 2.718281828, but e = 2.71828182845904 is used for internal calculations.

sin, cos, tan, sin−1, cos−1, tan−1 : Trigonometric functions. Specify the angle unit before performing calculations. See 1.

sinh, cosh, tanh, sinh−1, cosh−1, tanh−1 : Hyperbolic functions. Input a function from the menu that appears when you press @. The angle unit setting does not affect calculations. See 2.

E-13

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