Question

How do you evaluate `sin^-1(0)`?

Answer 1

0

Explanation:

`sin^-1(0) = x`

Take sin to the left and to the right.

`sin sin^-1 (0) = sin x = 0`

`x = 0 + k pi`, because `sin k pi = 0`

But what is the domain of `f(x) = sin^-1 x` ?

Response: `f : [-1, 1] rightarrow [-pi/2, pi/2]`