Section 3.1 – The Inverse Sine, Cosine and Tangent Functions Continued

Horizontal line test – tan x is not one-to-one

If we limit the domain of the tangent function to be (–π/2, π/2) we have a function that is one-to-one…it will have an inverse.

The inverse tangent of x

Find the value in (–π/2, π/2) whose tangent is

Section 3.2 The Inverse Trigonometric Functions [Continued]

Remaining Inverse Trig Functions

1 4 y x y

So, we need to find

1 1 x y We know

But we (most likely) do not have a sec button on our calculator, so