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prisoha [69]
3 years ago
12

What quadrant does sec(theta)>0 and cot(theta)<0 lie in

Mathematics
1 answer:
lora16 [44]3 years ago
4 0
\sec\theta=\dfrac1{\cos\theta}>0\implies\cos\theta>0

This happens in the first and fourth quadrants.

Since cosine is positive,

\cot\theta=\dfrac{\cos\theta}{\sin\theta}

and this happens in the third and fourth quadrants.

This means both conditions can only occur in the fourth quadrant.
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3 years ago
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