How do you evaluate cos(arcsin(-1/4))?

Jul 13, 2015

Evaluate $\cos \left(\arcsin \left(- \frac{1}{4}\right)\right)$

Explanation:

Calculator gives:
$\sin x = - \frac{1}{4} = - 0.25$--> Calculator gives:

a. $x = - 14.48$ deg
Trig unit circle gives another arc x that has the same sine value:
b. $x = 180 + 14.48 = 194.48$ deg