How do you evaluate using a calculator of arcsin(-0.6821)?

Dec 16, 2016

223^@; 317^@

Explanation:

Using both calculator and unit circle.
Calculator gives:
sin x = - 0.6821 --> arc $x = - {43}^{\circ}$ or x = 317^@ (co-terminal)
Unit circle gives another arc x that has the same sin value:
$x = 180 + 43 = {223}^{\circ}$
Answers for $\left(0 , 360\right)$:
223^@; 317^@