Question

Determine the quadrant in which $\theta$ lies
$\sin \theta >0,\sec \theta <0$

Answer 1

Given that,

$\sin \theta >0$

As we know $\sin \theta$ is positive in first and second quadrant, therefore $\theta$ lies in either first or second quadrant.

$\sec \theta <0$

As we know $\sec \theta$ is negative in second and third quadrant, therefore $\theta$ lies in either second or third quadrant.