Question

In which quadrant is cotangent positive?

Answer 1

QI and QIII

Explanation:

In QI: `0 < theta < pi/2` then `sin theta > 0` and `cos theta > 0`

so `cot theta = (cos theta) / (sin theta) > 0`

In QIII: `pi < theta < (3pi)/2` then `sin theta < 0` and `cos theta < 0`

so `cot theta = (cos theta) / (sin theta) > 0`

In QII and QIV `sin` and `cos` have opposite signs and `cot < 0`

Answer 2

Find quadrants where cots are positive

Explanation:

On the trig unit circle, Quadrant I and Quadrant III have cots positive.