#### Answer

$$1$$

#### Work Step by Step

Simplify
$$\csc\theta\cos\theta\tan\theta.$$
Use the Reciprocal Identity
$$\csc\theta=\frac{1}{\sin\theta}$$
and the Tangent Identity
$$\tan\theta=\frac{\sin\theta}{\cos\theta}$$
to obtain
$$\csc\theta\cos\theta\tan\theta=\bigg(\frac{1}{\sin\theta}\bigg)\cos\theta\bigg(\frac{\sin\theta}{\cos\theta}\bigg)=1.$$