Question

Cosθ<0 and tanθ > 0 Determine the quadrant in which the terminal side of θ lies?

Answer 1

Quadrant 3

Explanation:

if `cos(θ)` is negative the terminal side of `θ` is in either quadrant 2 or 3.

if `tan(θ)` is positive the terminal side of `θ` is in either quadrant 1 or 3. (sin and cos are both positive or sin and cos are both negative)

The only quadrant for which both these conditions are true is quadrant 3.