# How is 150^@ related to 30^@ on the unit circle?

Mar 13, 2018

150˚ is the mirror image of 30˚ across the x-axis if that makes sense...

#### Explanation:

If you look at the unit circle you can see that both angles are rotated by 60˚ from 90˚ (the x-axis) but in opposite directions.

30˚ = 90˚ - 60˚
150˚ = 90˚ + 60˚

This means that
sin(30˚)= sin(150˚)
and
cos(30˚) = -cos(150˚)