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

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.

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lublana lublana · Answer 2 · 2019-11-20T06:21:45+01:00

Answer:

II quadrant

Step-by-step explanation:

We are given that [tex]csc\theta[/tex] is negative and [tex]sec\theta [/tex] is negative.

We have to find the quadrant in which [tex]\theta[/tex] lies.

We know that [tex]csc\theta=\frac{1}{sin\theta}[/tex], [tex]sec\theta=\frac{1}{cos\theta}[/tex]

[tex]sin\theta[/tex] is positive and [tex]cos\theta[/tex] is negative in second quadrant.

Therefore, [tex]csc\theta[/tex] is positive and [tex]sec\theta[/tex] is negtaive in second quadrant.

Hence, [tex]\theta[/tex] is located in second quadrant.

Answer: II quadrant