Question

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

Answer 1

A. csc(θ)

20 characters.

Answer 2

Option A.
`csc\theta`.

Explanation:

We have to simplify the term

`cot\theta * sec\theta`

As we know

`cot\theta=(1)/(tan\theta )=(1)/((sin\theta )/(cos\theta ))=(cos\theta )/(sin\theta )`

and
`sec\theta =(1)/(cos\theta )`

when we multiply these terms by each other
`(cos\theta )/(sin\theta )* (1)/(cos\theta )=(1)/(sin\theta )=cosec\theta`

Therefore option A.
`csc\theta` is the answer.