Question

How do you use a calculator to approximate `arcsin(-0.75)`?

Answer 1

`x = -48.59 + k360^@`
`x = 228.59 + k360`

Explanation:

sin x = - 0.75
Calculator gives;
`x = - 48^@59 + k360^@`
Unit circle gives another arc that has the same sin value:
`x = 180 - (-48.59) = 228^@59 + k360^@`