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

How is 150 related to 30 on the unit circle??

Carl S.

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˚)