Question

Which of the following best explains why tan5pi/6 does not equal tan5pi/3? Hurry please

Answer 1

Tan(5pi/6) and tan(5pi/3) are both equal to -sqrt(3), so they are equal.

Step-by-step explanation:

Tan is a trigonometric function that represents the ratio of the opposite side to the adjacent side of a right triangle. Tan(x) is equal to sin(x) / cos(x).

When we evaluate tan(5pi/6), we find that it is equal to -sqrt(3).

When we evaluate tan(5pi/3), we find that it is equal to -sqrt(3).

Therefore, both tan(5pi/6) and tan(5pi/3) are equal to -sqrt(3), so they are equal.

Answer 2

The angles do not have the same reference angle.

Step-by-step explanation:

We can answer this question by referring to the unit circle.

The reference angle of 5π/6 is π/6, and the reference angle of 5π/3 is π/3.

B, C, and D are wrong. Tangent is negative in both quadrants