Question

Check all that apply. π/6 is the reference angle for:

Answer 1

Answer:

Option B. 13π/6 and Option D. 5π/6

Step-by-step explanation:

To get the reference angle π/6 for the given angles we will check each angle given in the options.

A. 8π/6

Since 8π/6 means 240° which lies in 3rd quadrant. Therefore reference angle of 240°= 240-180 = 60° or π/3

B. 13π/6

13π/6 means 390° which lies in first quadrant.

Therefore reference angle = 390-360 = 30° or π/6

C. 3π/6

Since 3π/6 means 90° therefore reference angle of 90° is the same as 90°.

Or the reference angle is = π/2

D. 5π/6

5π/6 means angle is 150° which lies in second quadrant therefore reference angle of 150° = 180-150 = 30° or π/6

answer is Option B and D.

Answer 2

Answer:

The correct is choice B.

Step-by-step explanation:

π/6 is an angle located in the first quadrant. Consequently, the equivalent angle for which it references should also be located in this same quadrant and is obtained by adding 2π to π/6 which becomes 13π/6