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FX 65 Training guide

 

Trigonometry 

 
Be sure to select the angle unit (D, R, G) you want to use before beginning a calculation. 
 

Trigonometric/Inverse Trigonometric Functions 

 

To calculate the sine, cosine, or tangent of the displayed angle. 
Example (in degree mode):  [30] [sin]     (= .5) 
 
To calculate the arcsine, arccosine, or arctangent. 
Example (in degree mode): [.5] [SHIFT] [sin]    (= 30) 
 
Hyperbolic/ Inverse Hyperbolic Functions 

 

To calculate the hyperbolic sine, cosine, or tangent of the displayed angle. 
Example (in degree mode):  [3.6] [hyp] [sin]  
 
To calculate the hyperbolic arcsine, arccosine, or arctangent of the displayed angle. 
Example (in degree mode):  [30] [hyp] [SHIFT] [sin 

-1

 
Coordinate Conversion 

 

You can convert between rectangular and polar coordinates.   
Make sure you are using the correct angle unit (D, R, G) before starting your calculation.    
 
[SHIFT] [R-P]  Rectangular to polar coordinate conversion   
[SHIFT] [P-R]  Polar to rectangular coordinate conversion   
[SHIFT] [X-Y]  Use this operation to switch between the two coordinates produced by the 

conversion operation.   
Example:   

To convert polar coordinates (r = 2, 

θ

 = 60) to rectangular 

coordinates (x, y). 

[2] [SHIFT] [P-R] [60] [=]   

This gives you the x value. 

[SHIFT] [X-Y] 

This gives you the y value. 

 
Logarithmic Functions

 

You can find logarithms, natural logarithms, and antilogarithms. 
 
[log] 

Calculates the common logarithm of the displayed value. 

 [100] 

[log] 

 
[ln] 

Calculates the natural logarithm (base 

e

) of the displayed value. 

 [90] 

[ln] 

 
[SHIFT] [10

x

Calculates the common antilogarithm of the displayed value, 
which is 10 raised to the power of the value. 

 [2] 

[SHIFT] 

[10

x

 
[SHIFT] [e

x

Calculates the natural antilogarithm of the displayed value, which 
is 

raised to the power of the value. 

 [1] 

[SHIFT] 

[e

x

]  

References the Casio FX-65 User’s Guide 

 

Casio FX-65 Fraction calculator 

Summary of Contents for fx-65

Page 1: ... Content Display Indicators Display Set Up Basic Arithmetic Calculations Basic Functions and Operations Basic Calculations Fraction calculations and simplification Percent calculations Default angle unit setting and conversions Powers and roots Internal Rounding Probability Random number generation Permutations and combinations Factorials Memory Memory Calculations Constant Memory Calculations Tri...

Page 2: ...splayed fraction can be simplified R Remainder of division 3 digit separator Parentheses M A value is stored in memory E Error Addition Subtraction x Multiplication Division R Division with remainder Result D Degrees R Radians G Grads STAT Statistics mode The calculator is in the COMP mode when this indicator is not on the display xy The yth power of x x1 y The yth root of x F1 Data is stored in c...

Page 3: ...X Clears the decimal place setting SHIFT SCI n Sets the number of significant digits according to the value you input for n 0 9 SHIFT SCI Clear the scientific notation setting SHIFT ENG Enters the engineering notation mode and normalizes the displayed value so its exponent is a positive multiple of three SHIFT ENG Enters the engineering notation mode and normalizes the displayed value so its expon...

Page 4: ...ainder The display shows up to 6 digits for the quotient and 4 digits for the remainder Performs calculation Changes the sign of a displayed value You must enter the value first Left and right parentheses You can have up to 18 sets of nested parentheses Note The calculator uses order of operations So for 2 3 x 4 you do not need parentheses around 3 x 4 The calculator will calculate 3 x 4 then add ...

Page 5: ...ess 2 a 1 b c 2 SHIFT Converts the displayed value between mixed number and improper a b c d c fraction When SIMP is displayed pressing will reduce the fraction to its simplest form SIMP Simplifies a fraction by the smallest divisor possible The divisor being used appears on the display for a moment followed by the simplified fraction n SIMP Simplifies a fraction by a specific divisor Example 50 b...

Page 6: ...xy Raises a number to a power other than 2 or 3 Example 2 xy 4 SHIFT 1 x Calculates the reciprocal of the displayed value Example 3 SHIFT 1 x SHIFT Calculates the square root of a number Example 9 SHIFT SHIFT 3 Calculates the cube root of a number Example 27 SHIFT 3 SHIFT x1 y Calculates the specified root of a number Example For 271 3 press 27 SHIFT x1 y 3 Internal Rounding Calculates internal ro...

Page 7: ...number of possible different arrangements using 4 items selected from 10 items 10 SHIFT nPr 4 5040 SHIFT nCr A combination is a selection of objects from a collection and order is irrelevant Example To determine the number of different combinations of 4 items selected from 10 items 10 SHIFT nCr 4 210 Factorials SHIFT x Calculates the factorial of a number Example 5 SHIFT 7 References the Casio FX ...

Page 8: ... memory An error will occur if you try to store only an operator or only a value You can store data in constant memory immediately after pressing the AC key Storing data to a memory that already contains data replaces the old data with the new SHIFT SET1 Stores data into constant memory F1 SHIFT SET2 Stores data into constant memory F2 F1 Recalls data from constant memory F1 F2 Recalls data from c...

Page 9: ...D R G before starting your calculation SHIFT R P Rectangular to polar coordinate conversion SHIFT P R Polar to rectangular coordinate conversion SHIFT X Y Use this operation to switch between the two coordinates produced by the conversion operation Example To convert polar coordinates r 2 θ 60 to rectangular coordinates x y 2 SHIFT P R 60 This gives you the x value SHIFT X Y This gives you the y v...

Page 10: ...ice to input two entries of the same value NOTE This is the M key SHIFT DEL Deletes the displayed value as data Note You can input multiple entries of the same data using x To input 100 ten times press 100 x 10 DATA After entering data you can retrieve the following values SHIFT σ n 1 Sample standard deviation SHIFT σ n Population standard deviation SHIFT x Arithmetic mean SHIFT n Number of data i...

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