Answer
$\sin{\theta} \cot{\theta}=\cos\theta$
Refer to the step-by-step part below for the proof.
Work Step by Step
Work on the left hand side:
Step 1: By definition, replace $\cot\theta$ with $\frac{\cos\theta}{\sin\theta}$
Hence,
$\sin\theta\cot\theta=\sin\theta\times\frac{\cos\theta}{\sin\theta}$
Step 2: Cancel out $\sin\theta$
Hence,
$\sin\theta\cot\theta=\cos\theta$
