Question

How do you find the exact value of `sin^-1(sin(pi/5))`?

Answer 1

`pi/5`

Explanation:

The functions `sin^-1x" and" sinx` are `color(blue)"inverse"` and in general.

`color(red)(bar(ul(|color(white)(a/a)color(black)(f^-1(f(x))=x)color(white)(a/a)|)))`

`rArrsin^-1(sin(pi/5))=pi/5`