poprskanvxcl

2023-02-19

How to find the reference angle in degrees and radians 120 degrees?

Hayden Drake

Since 120 degrees is in quadrant 2, the reference angle, represented by $\theta$, can be found by solving the equation $120+\theta =180$ $\theta =60$
Therefore, 60 degrees is the reference angle. We increase this by $\frac{\pi }{180}$ to change it to radians.
$60×\left(\frac{\pi }{180}\right)$
The 180 can be made to drop the 60 and become a 3 in the denominator before we multiply.
This leaves us with $\frac{\pi }{3}$ radians, which is the radian value of our reference angle.
Practice exercises:
1)Calculate the reference angle of 40 degrees in both degrees and radians.
2)Find the reference angle for 335 degrees in both degrees and radians.

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