# How do you find \sin (480)?

##### 1 Answer
Nov 21, 2016

$\frac{\sqrt{3}}{2}$

#### Explanation:

This is assuming you don't have a calculator.

y=sinx is periodic with period ${360}^{0}$

so $\sin \left(480\right) = \sin \left(480 - 360\right) = \sin 120$

but $\text{ } \sin \theta = \sin \left(180 - \theta\right)$

$\therefore \sin 120 = \sin 60 = \frac{\sqrt{3}}{2}$