#### Answer

$$\cot\theta\sin\theta=\cos\theta$$

#### Work Step by Step

$$A=\cot\theta\sin\theta$$
- Quotient Identity: $$\cot\theta=\frac{\cos\theta}{\sin\theta}$$
Therefore, $A$ would be
$$A=\frac{\cos\theta}{\sin\theta}\times\sin\theta$$
$$A=\cos\theta$$
Since no quotients appear here and all functions are of $\theta$ only, we can stop here.