# How do you find the trigonometric functions of values that are greater than 360^@?

Oct 24, 2014

Since the values of trig functions remain the same if you add or subtract a multiple of ${360}^{\circ}$ to or from the angle; for example,

$\sin \left({390}^{\circ}\right) = \sin \left({390}^{\circ} - {360}^{\circ}\right) = \sin \left({30}^{\circ}\right) = \frac{1}{2}$

$\cos \left(- {630}^{\circ}\right) = \cos \left(- {630}^{\circ} + 2 \cdot {360}^{\circ}\right) = \cos \left({90}^{\circ}\right) = 0$.

I hope that this was helpful.