# What are the important points to graph y = sin (-x)?

Nov 2, 2016

The Graph looks like
graph{-sin(x) [-5, 5, -2.5, 2.5]}

#### Explanation:

That's a good question. Remember,

$y = \sin \left(- x\right) = - \sin \left(x\right)$

Now, put important circular angles,

lets say,

when $x = \frac{\pi}{6} , y = - \sin \left(\frac{\pi}{6}\right) = - \frac{1}{2}$

and so on,

when $x = \frac{\pi}{4} , y = - \sin \left(\frac{\pi}{4}\right) = - \frac{1}{\sqrt{2}}$

when $x = \frac{\pi}{3} , y = - \sin \left(\frac{\pi}{3}\right) = - \frac{\sqrt{3}}{2}$

when $x = \frac{\pi}{2} , y = - \sin \left(\frac{\pi}{2}\right) = - 1$

when $x = - \frac{\pi}{6} , y = - \sin \left(- \frac{\pi}{6}\right) = \frac{1}{2}$

when $x = - \frac{\pi}{4} , y = - \sin \left(- \frac{\pi}{4}\right) = \frac{1}{\sqrt{2}}$

when $x = - \frac{\pi}{3} , y = - \sin \left(- \frac{\pi}{3}\right) = \frac{\sqrt{3}}{2}$