Question

Which equation can be used to determine the reference angle, r, if theta=7pi/12?

Answer 1

Answer:

r = 180° - $\frac{7\pi }{12}$

Step-by-step explanation:

We have to find the reference angle (r) of the given angle θ = $\frac{7\pi }{12}$

First we will find the quadrant in which this angle lies.

Since θ = $\frac{7\pi }{12}$ =$\frac{7\times180}{12} = 105$

105° angle lies in second quadrant. Therefore, reference angle will be

r = 180° - θ

where θ = $\frac{7\pi }{12}$

Now we can say that equation for reference angle r will be r = 180°-$\frac{7\pi }{12}$

Answer 2

The reference angle will be
 r = min(7π/12, π -7π/12) = 5π/12