Inverse Trigonometric Functions

1. If , then or is the angle in whose sine is equal to : .

2. If , then or is the angle in whose tangent is equal to : .

3. If , then or is the angle in whose cosine is equal to : .

Ex 1 Find and .

Sol since and , and

since and .

Ex 2 Find .

Sol Let , so . From the right triangle shown below, , so .

Pr A Find the following, or explain why they are undefined:

a) and b) .

Pr B Find the following, or explain why they are undefined:

a) and b) .

Pr 1 Find a) and b) .

Pr 2 Find a) and b) .

Pr 3 Find a) and b) .

Pr 4 Find .

Pr 5 Find .

Pr 6 Find .

Pr 7 Find .

Pr 8 Find .

Lawrence Marx 2002-07-12