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Trigonometry Examples

$(1 - \sin^{2} (x)) \cdot \sec^{2} (x)$

Apply pythagorean identity.

$\cos^{2} (x) \cdot \sec^{2} (x)$

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

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

Simplify the expression.

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

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

One to any power is one.

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

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

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

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Cancel the common factor.

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

Rewrite the expression.

$1$

$1$

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$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$