Simplify sec(theta)*cos(theta)^2

$\sec (θ) \cdot \cos^{2} (θ)$

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

$\frac{1}{\cos (θ)} \cdot \cos^{2} (θ)$

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

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

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

Cancel the common factor.

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

Rewrite the expression.

$\cos (θ)$

$\cos (θ)$

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