Algebra Examples

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

Step 1

Apply pythagorean identity.

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

Step 2

Simplify with factoring out.

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Step 2.1

Rewrite $1$ as $1^{2}$ .

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

Step 2.2

Rewrite $\frac{1^{2}}{\cos^{2} (x)}$ as ${(\frac{1}{\cos (x)})}^{2}$ .

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

Step 3

Convert from $\frac{1}{\cos (x)}$ to $\sec (x)$ .

$\sec^{2} (x)$