Question

How do you find the exact value of `sin(cos^-1 (sqrt2/2))`?

Answer 1

`1/sqrt 2`

Explanation:

The angle `a = cos^(-1)(sqrt 2/2) in Q1`.

Use `sin a = +-sqrt(1-cos^2a)` and the positive sign is for `a in Q1`.

Here, the given expression is

`sin a = 1/sqrt 2`.