Answer
$$\frac{\cos\theta}{\sin\theta\cot\theta}=1$$
The trigonometric expression is an identity, proved by the simplification of the left side.
Work Step by Step
$$\frac{\cos\theta}{\sin\theta\cot\theta}=1$$
The left side is more complex, and we would simplify it.
$$A=\frac{\cos\theta}{\sin\theta\cot\theta}$$
$$A=\frac{\cos\theta}{\sin\theta}\times\frac{1}{\cot\theta}$$
We find that we can represent $$\frac{\cos\theta}{\sin\theta}=\cot\theta$$
So, $$A=\cot\theta\times\frac{1}{\cot\theta}$$
$$A=1$$
The trigonometric expression is hence proved to be an identity.