Question

Find `sin^(-1)sqrt(3/2)`?

Answer 1

`sin^(-1)sqrt(3/2)` does not exist.

Explanation:

For any `x`, we have `-1 <= sinx <= 1` or `|sinx|<=1`

but here assuming `sin^(-1)sqrt(3/2)=theta`

we will have `sintheta=sqrt(3/2)=1.2247`

but this is just not possible.

Hence `sin^(-1)sqrt(3/2)` does not exist.