HELP, Prove: (cos(x))/(sin(x)tan(x))=cot^2x

Question

asked Jul 2, 2020 227k views

2 Answers

Valuator · Answer 1 · 2020-07-07T14:05:21+0000

Answer:

Steps shown below

Explanation:

We will simplify this using definitions and identities. Let's start.

(cos(x))/(sin(x)tan(x))

Using
tanx=(sinx)/(cosx) , we have:

$(cos(x))/(sin(x)(sin(x))/(cos(x)))\\=(cos^2(x))/(sin^2(x))$

Using
cot(x)=(cos(x))/(sin(x)) , we have:

$(cos^2(x))/(sin^2(x))\\=cot^2(x)$

Hence, proved.