Which of the following best explains why tan 5pi/6 does not equal to tan 5pi/3?

A. The angles do not have the same reference angle.

B. Tangent is positive in the second quadrant and negative in the fourth quadrant.

C. Tangent is negative in the second quadrant and positive in the fourth quadrant.

D. The angles do not have the same reference angle or the same sign.

Question

Lewis Snow

Mathematics

2 September, 22:58

Which of the following best explains why tan 5pi/6 does not equal to tan 5pi/3?

A. The angles do not have the same reference angle.

B. Tangent is positive in the second quadrant and negative in the fourth quadrant.

C. Tangent is negative in the second quadrant and positive in the fourth quadrant.

D. The angles do not have the same reference angle or the same sign.

+3

Answers (1)

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Bart · Answer 1

Option D. The angles do no have the same reference angle.

Note that the tangent is negative in both second and fourth quadrants.

5pi/6 = 150° and tan 5pi/3 = 300°