Question

If $\cos \theta <0,\cot \theta >0$, then $\theta$ lies in _____ quadrant.

• A. $1^{st}$
• B. $2^{nd}$
• C. $3^{rd}$
• D. $4^{th}$

Answer 1

The correct option is C $3^{rd}$

Given

$\cos \theta <0$

$\cos \theta$ is negative only in $2^{nd},3^{rd}$ quadrants

$\cot \theta >0$

$\cot \theta$ is positivee only in $1^{st},3^{rd}$ quadrants

$\therefore \theta$ lies in $3^{rd}$ qudadrant