Q. 44 - Precalculus Enhanced with Graphing Utilities

Question

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

Step-by-Step Solution

Answer

The required quadrant is IV

Step 1: Given information

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

Step 2: 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