In which quadrant is θ located if cscθ is negative and tanθ is positive?

Question

asked Aug 13, 2018 197k views

2 Answers

Amr Ragaey · Answer 1 · 2018-08-19T01:30:56+0000

Answer:

$\theta$ is located in 3rd Quadrant.

Explanation:

We are given that
$cos\,\theta$ is negative and
$tan\,\theta$ is positive

We have to find Quadrant in which
$\theta$ is located.

We have 4 Quadrants.

In 1st Quadrant , All trigonometric ratios are positive.

In 2st Quadrant , sin and cosec are positive while others are negative.

In 3rd Quadrant , tan and cot are positive while others are negative.

In 4th Quadrant , cos and sec are positive while others are negative.

Therefore, According to given information
$\theta$ located in 3rd Quadrant.