Question

Simplify the expression csc0/cot0 (picture provided)

Answer 1

The correct answer is B, or sec theta.

Just got it right on edge 2020, hope this helps!! :)

Answer 2

Answer: option b.

Explanation:

You must keep on mind the following identities:

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

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

Therefore, you can simplify the expression given in the problem as you can see below:

- Substitute identities:

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

By definition:

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