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7 February, 19:26

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

A. 8π/6

B. 13π/6

C. 3π/6

D. 5π/6

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Answers (2)
  1. 7 February, 20:05
    0
    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
  2. 7 February, 21:37
    0
    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.
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