Question

Which of the following best explains why tan(5pi/6) doesn't equal tan(5pi/3)

Answer 1

Answer:

  1.  The angles do not have the same reference angle

Step-by-step explanation:

The angles are in the 2nd and 4th quadrants, so both have tangents with a negative sign. (This eliminates choices 2, 3, 4.)

The angles do not have the same reference angle.

_____

5π/6 has a reference angle of π/6.

5π/3 has a reference angle of π/3.

Answer 2

Answer:

The angles do not have the same reference angle.

Step-by-step explanation:

2π = 360°

π = 180°

5π/6 = $\frac{5 * 180}{6}$ = 150° (The reference angle here is 180° - 150° = 30°

5π/3 = $\frac{5 * 180}{3}$ = 300° (The reference angle here is 360° - 300° = 60°)

The reference angles are not the same and so the value of their tangents are not equal.