Question

Name the quadrant $\theta$lies in if $\cos \theta >0$ and$\tan \theta <0$

Short answer

The required quadrant is IV

Step-by-step solution

Given information

Given the function$\cos \theta >0,\tan \theta <0$

Checking the sign in quadrants

Here $\cos \theta >0$, which is in first and fourth quadrants

$\tan \theta <0$which is in second and fourth quadrant

So the quadrant is IV