Question

How do you find the exact value of `cos^-1(sin(pi/6))`?

Answer 1

`pi/3`

Explanation:

In the first quadrant, `sin (pi/6) = cos(pi/2-pi/6)=cos(pi/3)`

The given expression = `cos^(-1)cos(pi/3)=pi/3`.

Note: For general values also, `sin a = cos (pi/2-a)`.