Question

Simplify the expression csc0/cot0 (picture provided)

Answer 1

Answer: option b.

Step-by-step explanation:

You must keep on mind the following identities:

$csc\theta=\frac{1}{sin\theta}\\\\cot\theta=\frac{1}{tan\theta}$

$tan\theta=\frac{sin\theta}{cos\theta}$

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

- Substitute identities:

$\frac{csc\theta}{cot\theta}=\frac{\frac{1}{sin\theta}}{\frac{1}{tan\theta}}\\\\=\frac{tan\theta}{sin\theta}\\\\=\frac{\frac{sin\theta}{cos\theta}}{sin\theta}\\\\=\frac{sin\theta}{(cos\theta)(sin\theta)}\\\\=\frac{1}{cos\theta}$

By definition:

$\frac{1}{cos\theta}=sec\theta$

Answer 2

The correct answer is B, or sec theta.

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