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

User PhilJay
by
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2 Answers

2 votes

Answer:

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

User Fedor Skrynnikov
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6.8k points
7 votes
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.
User Lavenda
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7.3k points