Simplify (1-cos(theta)^2)cot(theta)sec(theta)

$(1 - \cos^{2} (θ)) \cdot \cot (θ) \cdot \sec (θ)$

Apply pythagorean identity.

$\sin^{2} (θ) \cdot \cot (θ) \cdot \sec (θ)$

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

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

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

Factor $\sin (θ)$ out of $\sin^{2} (θ)$ .

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

Cancel the common factor.

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

Rewrite the expression.

$\sin (θ) \cdot \cos (θ) \cdot \sec (θ)$

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

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

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

Factor $\cos (θ)$ out of $\sin (θ) \cos (θ)$ .

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

Cancel the common factor.

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

Rewrite the expression.

$\sin (θ)$

Simplify (1-cos(theta)^2)*cot(theta)*sec(theta)