Question

How do you find the exact value of `arcsin(sin((2pi)/3))`?

Answer 1

`arcsin(sin((2pi)/3))=(2pi)/3`

Explanation:

By definition if `sinA=x`, `arcsinx=A`,

and substituting `x` for `sinA` in `arcsinx=A`

`arcsin(sinA)=A` and hence

`arcsin(sin((2pi)/3))=(2pi)/3`