Simplify cot(theta)^2*sin(theta)^2

$\cot^{2} (θ) \cdot \sin^{2} (θ)$

Step 1

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

${(\frac{\cos (θ)}{\sin (θ)})}^{2} \cdot \sin^{2} (θ)$

Step 2

Apply the product rule to $\frac{\cos (θ)}{\sin (θ)}$ .

$\frac{\cos^{2} (θ)}{\sin^{2} (θ)} \cdot \sin^{2} (θ)$

Step 3

Cancel the common factor of $\sin^{2} (θ)$ .

Cancel the common factor.

$\frac{\cos^{2} (θ)}{\sin^{2} (θ)} \cdot \sin^{2} (θ)$

Rewrite the expression.

$\cos^{2} (θ)$