Question

"what quadrant is...." PLEASE PLEASE HELP!!!! Thank you so so much!!! *will give brainliest*

Answer 1

Given:

$\tan \theta > 0$ and $\sec \theta$.

To find:

The quadrant.

Solution:

We know that,

In I quadrant, all trigonometric ratios are positive.

In II quadrant, only $\sin \theta, \text{cosec}\theta$ are positive and others are negative.

In III quadrant, only $\cot \theta, \tan\theta$ are positive and others are negative.

In IV quadrant, only $\cos \theta, \sec\theta$ are positive and others are negative.

We have,

$\tan \theta > 0$ and $\sec \theta$.

Here, $\tan \theta$ is positive and $\sec \theta$ is negative. So, $\theta$ lies in the III quadrant.

Therefore, the correct option is C, i.e., III.