Question

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

Answer 1

If cos is negative and tan is positive it's located in third quadrant (3)

Answer 2

`\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.