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

$\cos^{2} (θ) \cdot \sec^{2} (θ)$

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

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

Simplify the expression.

Apply the product rule to $\frac{1}{\cos (θ)}$ .

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

One to any power is one.

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

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

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

Cancel the common factor.

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

Rewrite the expression.

$1$

$1$

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