Question

What is `\sin ( sin^{-1} frac{sqrt{2}}{2})`?

Answer 1

Sine and arcsine are inverses of each other.

Arcsine is also known as `arcsin` and `sin^-1`

Sine is also known as `sin`

They undo each other so ...

`sin(sin^-1sqrt(2)/2)=sqrt(2)/2`