7 6 the inverse trig functions

7-6 The Inverse Trig FunctionsObjectives:1. Find values of inverse trig

functions.

f(x) = tan x is not one-to-one, so it has no inverse.

Tangent

However, with restricted domain of

we create F(x) = Tan x

which does have an inverse.

Inverse Tangent

Find Tan-1(-1) in radians with and then without a calculator.

Example 1

For G(x) = Sin x we restrict the domain to

Inverse Sine

For H(x) = Cos x we restrict the domain to

Inverse Cosine

Find Cos-1(-0.5) w/out a calc.

Example 2

Find each w/out a calc.Sin-1(-1)

You Try!

Find

Example 3

Find

You Try!