Question

If the angle `(29pi)/6` is in standard position, which quadrant does it terminate?

Answer 1

This angle ends in the second quadrant. See explanation.

Explanation:

First we have to change the fraction in the angle to a mixed number:

`(29pi)/6=4 5/6pi=4pi+(5pi)/6`

Adding a multiple of `2pi` does not change the end quadrant, so `(29pi)/6` lies in the same quadrant as `(5pi)/6`

`pi/2 <= (5pi)/6 <=pi`, so this angle lies in the second quadrant.