Answer:
r = 180° - [tex]\frac{7\pi }{12}[/tex]
Step-by-step explanation:
We have to find the reference angle (r) of the given angle θ = [tex]\frac{7\pi }{12}[/tex]
First we will find the quadrant in which this angle lies.
Since θ = [tex]\frac{7\pi }{12}[/tex] =[tex]\frac{7\times180}{12} = 105[/tex]
105° angle lies in second quadrant. Therefore, reference angle will be
r = 180° - θ
where θ = [tex]\frac{7\pi }{12}[/tex]
Now we can say that equation for reference angle r will be r = 180°-[tex]\frac{7\pi }{12}[/tex]
