Evaluate sec(theta)cot(theta)sin(theta)

$\sec (θ) \cot (θ) \sin (θ)$

Step 1

Rewrite in terms of sines and cosines, then cancel the common factors.

Reorder $\sec (θ)$ and $\cot (θ)$ .

$\cot (θ) \sec (θ) \sin (θ)$

Rewrite $\sec (θ) \cot (θ)$ in terms of sines and cosines.

$\frac{\cos (θ)}{\sin (θ)} \cdot \frac{1}{\cos (θ)} \sin (θ)$

Cancel the common factors.

$\frac{1}{\sin (θ)} \sin (θ)$

Step 2

Cancel the common factor of $\sin (θ)$ .

Cancel the common factor.

$\frac{1}{\sin (θ)} \sin (θ)$

Rewrite the expression.

$1$