Precalculus Examples

$\frac{\sec^{2} (u) - \tan^{2} (u)}{\cos^{2} (v) + \sin^{2} (v)}$

Step 1

Apply pythagorean identity.

$\frac{1}{\cos^{2} (v) + \sin^{2} (v)}$

Step 2

Simplify the denominator.

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Step 2.1

Rearrange terms.

$\frac{1}{\sin^{2} (v) + \cos^{2} (v)}$

Step 2.2

Apply pythagorean identity.

$\frac{1}{1}$

Step 3

Cancel the common factor of $1$ .

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Step 3.1

Cancel the common factor.

$\frac{1}{1}$

Step 3.2

Rewrite the expression.

$1$