Sharp V/R manual Arc Trigonometric Functions

Page 23

Arc Trigonometric Functions

Arc trigonometric functions, the inverse of trigonomet-
ric functions, are used to determine an angle from ratios
of a right triangle.The combinations of the three sides
are sin-1, cos-1, and tan-1.Their relations are;	θ

(arc sine) Determines an angle based on the ratio b/a of two sides of a right triangle.

(arc cosine) Determines an angle based on the ratio c/a for two sides of a right triangle.

(arc tangent) Determines an angle based on the ratio a/b for two sides of a right triangle.

a

b

c

θ= sin-1ba

θ= cos-1ca

θ= tan-1bc

<Example>

At what angle should an airplane climb in order to climb 80 meters in 100 meters?

[DEG mode]

O per ation

80

100

D isplay

DEG

22

Image 23

Contents Sciientiifiic Calculator Operatiionguiide N TEN TS E Y L AY O U T Ow to Ope ra teDI S P L AY F O R M AT a N D DI S P L AY P AT T E R NX P O N E N T DI S P L AY Adians R a D is shown at the top of the display N G U L a R U N I TON/OFF, Entry Correction Keys Pressing π automatically enters the value for π Data Entry KeysGenerates random numbers RandomFunction to round calculation results ModifyBasic Arithmetic Keys, Parentheses Percent Xth Root of y To the Power of x, Common Logarithm To the Power of x, Natural Logarithm Factorials PPL IC AT IO N S Permutations, Combinations24 28 Time CalculationFractional Calculations Memory Calculations ~ Last Answer Memory Trigonometric Functions Arc Trigonometric Functions Hyperbolic Functions Coordinate Conversion DAT a I N P U T a N D E R a S E Statistics FunctionS 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 Data total up to this point 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