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
$cos(30˚) = -cos(150˚)$

Chloe Bennett

Chloe Bennett

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Chloe Bennett explores the intersection of pop culture, streaming entertainment, digital trends, and contemporary lifestyle. Her weekly commentary reaches thousands of culture enthusiasts.

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