Which of the following is cot(theta) sec(theta) in simplified form?

asked Feb 18, 2024 41.8k views

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7 votes

Answer:

$\csc\theta$

Explanation:

$\displaystyle \cot\theta\sec\theta\\\\=(\cos\theta)/(\sin\theta)\cdot(1)/(\cos\theta)\\\\=(1)/(\sin\theta)\\\\=\csc\theta$

Make use of reciprocal and quotient identities!

AlmightyGOSU answered Feb 23, 2024

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