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

$\sin^{2} (θ) \cdot \cot^{2} (θ)$

Step 1

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

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

Step 2

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

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

Step 3

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

Cancel the common factor.

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

Rewrite the expression.

$\cos^{2} (θ)$