Question

In which quadrant is θ located if cosθ is positive and cotθ is negative?

I
II
III
IV

Answer 1

quad IV

Explanation:

Answer 2

cos θ is positive, where x values are positive, so
cos θ is positive in 1st and 4th quadrants.

cot θ = cos θ / sin θ
For cot θ be negative, sin θ should be negative, because cos θ is positive.
sin θ is negative, where y values is negative. (3d and 4t quadrants).

So, cos θ is positive and cot θ is negative in 4th quadrant.