Question

Check all that apply. Pie over 6 is the reference angle for:

Answer 1

π/6 is in quadrant I.

The reference angle of an angle in quadrat I is the same angle (If you add or subtract 2π to the angle n times you get the same angle).

Then, the reference angle or π/6 are:

$\begin{gathered} \frac{\pi}{6} \\ \\ \frac{\pi}{6}+2\pi=\frac{\pi+12\pi}{6}=\frac{13\pi}{6} \\ \\ \frac{\pi}{6}+2(2\pi)=\frac{\pi}{6}+4\pi=\frac{\pi+24\pi}{6}=\frac{25\pi}{6} \\ \\ \frac{\pi}{6}-2\pi=\frac{\pi-12\pi}{6}=-\frac{11\pi}{6} \end{gathered}$For the given options just 13π/6 is a reference angle for π/6Answer: D