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Arc trigonometric functions, Example – Sharp W Series User Manual

Page 23

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22

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;

Arc Trigonometric Functions

[DEG mode]

(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) D etermines an angle based on the
ratio a/b for two sides of a right triangle.

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

80

100

O per ation

D isplay

θ

= sin

-1

b

a

θ

= cos

-1

c

a

θ

= tan

-1

b

c

c

a

b

θ

DEG