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
$cos(30˚) = -cos(150˚)$