Sharp W Series manual Trigonometric Functions

Page 22

Trigonometric Functions

 

 

 

 

 

 

 

 

Trigonometric functions determine the ratio of three sides

a

of a right triangle. The combinations of the three sides are

 

 

b

sin, cos, and tan. Their relations are:

 

 

 

 

 

 

 

θ

 

 

 

 

 

 

C alculates the sine of an angle.

sinθ =

b

c

 

 

 

a

 

 

 

C alculates the cosine of an angle.

cosθ =

c

 

 

 

a

 

 

 

C alculates the tangent of an angle. tanθ = bc

<Example>

The angle from a point 15 meters from a building to the highest floor of the building is 45°. How tall is the building?

[DEG mode]

O per ation

45 15

1 5

View point

D isplay

DEG

A P P L IC AT IO N S:

Trigonometric functions are useful in mathematics and various engineering calculations.They are often used in astronomical observations, civil engi- neering and in calculations involving electrical circuits, as well as in calcula- tions for physics such as parabolic motion and wave motion.

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Contents Sciientiifiic Calculator Operatiionguiide N TEN TS EX P Irect function Power onE Y L AY O U T LO GDI S P L AY P AT T E R N Normal modeFIX mode TAB = DI S P L AY F O R M AT a N DEN G mode SC I modeX P O N E N T DI S P L AY N G U L a R U N I T Per ation DEG mode IsplayDEG = π/2 RAD = Grad = ON/OFF, Entry Correction Keys Data Entry Keys Pressing π automatically enters the value for πGenerates random numbers RandomBuilding sample sets for statistics or research Function to round calculation results ModifyInternally, 0 Basic Arithmetic Keys, Parentheses 15% of $ 125… Percent$ 125 reduced by 20%… Hen $ 125 equals 5% of X , X equals…2500Inverse, Square, Cube Per ation IsplayTo the Power of x, Common Logarithm To the Power of x, Natural Logarithm Factorials = 1 x 2 x 3 x …xnPermutations, Combinations PPL IC AT IO N SOnvert to decimal notation Isplay Time CalculationRepeat last key operation to return to the previous display Fractional Calculations 110 Y Memory Calculations ~Enter 0 for M Isplay 26510 ÖY=Last Answer Memory Trigonometric Functions Arc Trigonometric Functions Hyperbolic Functions Coordinate Conversion Splits data used for dual-variable data input1011AND 110101100PE 3203OCT654DEC 1011AND101=Statistics Function Enters data for statistical calculations Lears data inputS K E Y S F O R 1 -V a R I a B L E S T AT I S T I C S DA T a C O R R E C T I O N Reverse the display order to descending latest first, pressN2= Per ation Isplay X2=X3= Temperature Date S K E Y S F O R 2 -V a R I a B L E S T AT I S T I C S Sharp CORP. MAR