Question

How to find theta in degrees that lies in quadrant 2 such that sin theta = 0.735. ?

Answer 1

`theta=132.69^@`

Explanation:

.

`sintheta=0.735`

`theta=arcsin(0.735)=47.31^@`

But this angle in in quadrant `I`.

The angle in quadrant `II` that has the same `sin` value is:

`180^@-theta=180^@-47.31^@=132.69^@`