Question

What best explains why tan(5π/6) does not equal tan(5π/3)?

ANSWER IN 10 MINUTES PLEASE THIS IS TIMED!!! 50 POINTS!!

Answer 1

Let's convert to degrees; easier to think about.

`\tan (5\pi)/(6) = \tan 150^\circ`

`\tan (5\pi)/(3) = \tan 300^\circ`

Angles a multiple of 180 degrees or pi radians apart have the same tangent. These are 150 degrees aka 5pi/6 apart so they don't.