Trigonometry Examples

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

Apply pythagorean identity.

$\cos^{2} (x) \tan^{2} (x)$

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

$\cos^{2} (x) {(\frac{\sin (x)}{\cos (x)})}^{2}$

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

$\cos^{2} (x) \frac{\sin^{2} (x)}{\cos^{2} (x)}$

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

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Cancel the common factor.

$\cos^{2} (x) \frac{\sin^{2} (x)}{\cos^{2} (x)}$

Rewrite the expression.

$\sin^{2} (x)$