Sharp W Series 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 LO G Irect function Power onE Y L AY O U T EX PDI S P L AY F O R M AT a N D Normal modeFIX mode TAB = DI S P L AY P AT T E R NX P O N E N T DI S P L AY SC I modeEN G mode DEG = π/2 RAD = Grad = Per ation DEG mode IsplayN G U L a R U N I T ON/OFF, Entry Correction Keys Pressing π automatically enters the value for π Data Entry KeysBuilding sample sets for statistics or research RandomGenerates random numbers Internally, 0 ModifyFunction to round calculation results Basic Arithmetic Keys, Parentheses Hen $ 125 equals 5% of X , X equals…2500 Percent$ 125 reduced by 20%… 15% of $ 125…Per ation Isplay Inverse, Square, CubeTo the Power of x, Common Logarithm To the Power of x, Natural Logarithm = 1 x 2 x 3 x …xn FactorialsPPL IC AT IO N S Permutations, CombinationsRepeat last key operation to return to the previous display Time CalculationOnvert to decimal notation Isplay Fractional Calculations 26510 ÖY= Memory Calculations ~ Enter 0 for M Isplay 110 YLast Answer Memory Trigonometric Functions Arc Trigonometric Functions Hyperbolic Functions Splits data used for dual-variable data input Coordinate Conversion1011AND101= 110101100PE 3203OCT654DEC 1011ANDEnters data for statistical calculations Lears data input 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 Reverse the display order to descending latest first, press DA T a C O R R E C T I O NX3= Per ation Isplay X2=N2= 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