Answer
$$\csc\theta\cos\theta\tan\theta=1$$
Work Step by Step
$$A=\csc\theta\cos\theta\tan\theta$$
- Quotient Identity:
$$\tan\theta=\frac{\sin\theta}{\cos\theta}$$
- Reciprocal Identity:
$$\csc\theta=\frac{1}{\sin\theta}$$
We replace these into $A$, and we have
$$A=\frac{1}{\sin\theta}\times\cos\theta\times\frac{\sin\theta}{\cos\theta}$$
$$A=\frac{1}{\sin\theta}\times\sin\theta$$
$$A=1$$
