Question

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

Answer 1

`\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!