Question

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

Answer 1

Answer:

Steps shown below

Step-by-step explanation:

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

$\frac{cos(x)}{sin(x)tan(x)}$

Using $tanx=\frac{sinx}{cosx}$, we have:

$\frac{cos(x)}{sin(x)\frac{sin(x)}{cos(x)}}\\=\frac{cos^2(x)}{sin^2(x)}$

Using $cot(x)=\frac{cos(x)}{sin(x)}$, we have:

$\frac{cos^2(x)}{sin^2(x)}\\=cot^2(x)$

Hence, proved.

Answer 2

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