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

poprskanvxcl

poprskanvxcl

Answered question

2023-02-19

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

Answer & Explanation

Hayden Drake

Hayden Drake

Beginner2023-02-20Added 6 answers

Since 120 degrees is in quadrant 2, the reference angle, represented by θ , can be found by solving the equation 120 + θ = 180 θ = 60
Therefore, 60 degrees is the reference angle. We increase this by π 180 to change it to radians.
60 × ( π 180 )
The 180 can be made to drop the 60 and become a 3 in the denominator before we multiply.
This leaves us with π 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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