Lesson 14.4 - Inverse Trig Functions

A DO NOW: If B is right angle, find the measure of angle C and angle A.

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B C

7

14.4 Inverse Trig Functions1. Solve for if

a. Arcsin b. arcsin

1sin =

2

1

2

INFINITE Number of solutions!Only ONE solution

0 360

1

2

Why only ONE solution? Arcsin is a FUNCTION

1

22. Arcsin

A function must have only ONE output for EACH INPUT!!

Domain - possible “input” (x) values for a functionRange – possible “output” (y) values for a function

Ranges (Outputs) of Inverse Functions

-90 Arcsin(x) 900 Arccos(x) 180-90 < Arctan(x) < 90

3. Find Arctan (1)= 4. Find Arcsin (.88) =

5. Find Arctan(tan(-45°)) 6. Find Arccos(cos(-45°))

In a full circle there are 360 degrees.

Each degree is split up into 60 parts, each part being 1/60 of a degree. These parts are called minutes.

Each minute is split up into 60 parts, each part being 1/60 of a minute. These parts are called seconds.

Degree, Minutes, and Seconds

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A