Question

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

Answer 1

II quadrant

Explanation:

We are given that
`csc\theta` is negative and
`sec\theta` is negative.

We have to find the quadrant in which
`\theta` lies.

We know that
`csc\theta=(1)/(sin\theta)`,
`sec\theta=(1)/(cos\theta)`

`sin\theta` is positive and
`cos\theta` is negative in second quadrant.

Therefore,
`csc\theta` is positive and
`sec\theta` is negtaive in second quadrant.

Hence,
`\theta` is located in second quadrant.

Answer: II quadrant

Answer 2

The answer tot the question in which quadrant is ∅ located is csc∅ is positive and sec∅ is negative is "Quadrant II". This is located in the upper top left quadrant. Since in this quadrant also sin∅ is positive and cos∅ is negative.