Question

Check all that apply. (pi/6) is the reference angle for:

Answer 1

Answer:

$\frac{5\pi}{6}$ and $\frac{13\pi}{6}$ are the reference angles.

Step-by-step explanation:

Reference angle is the angle which makes from the terminal side of the x-axis.

You can see  the attachment for the angles which are reference angles.

Angle A is equal to $2\pi+\theta$

B is equal to $\pi-\theta$

C is equal to $\pi+\theta$

D is equal to $2\pi-\theta$

We will apply all four operations of A,B,C and D

A=$2\pi+\frac{\pi}{6}=\frac{13\pi}{6}$

B= $\pi-\frac{5\pi}{6}=\frac{5\pi}{6}$

C=$\pi+\frac{\pi}{6}=\frac{7\pi}{6}$

D=$2\pi-\frac{\pi}{6}=\frac{11\pi}{6}$

Therefore, Option 2 and 4th are correct from the given options.

$\frac{5\pi}{6}$ and $\frac{13\pi}{6}$

Answer 2

5π/6
13π/6

π/6 is the reference angle for 5π/6, 7π/6, 11π/6, 13π/6, etc.