In Which Quadrant is this true

Question

asked Jan 9, 2022 25.9k views

1 Answer

Khasha · Answer 1 · 2022-01-15T10:38:26+0000

Given:

$\sin \theta <0$

$\tan \theta <0$

To find:

The quadrant in which
$\theta$ lie.

Solution:

Quadrant concept:

In Quadrant I, all trigonometric ratios are positive.

In Quadrant II, only
$\sin\theta$ and
$\csc\theta$ are positive.

In Quadrant III, only
$\tan\theta$ and
$\cot\theta$ are positive.

In Quadrant IV, only
$\cos\theta$ and
$\sec\theta$ are positive.

We have,

$\sin \theta <0$

$\tan \theta <0$

Here,
$\sin\theta$ is negative and
$\tan\theta$ is also negative. It is possible, if
$\theta$ lies in the Quadrant IV.

Therefore, the correct option is D.