Trigonometry Examples

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

Step 1

Apply pythagorean identity.

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

Step 2

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

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Step 2.1

Factor $\tan (x)$ out of $\tan^{2} (x)$ .

$\frac{\tan (x) \tan (x)}{\tan (x)}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Multiply by $1$ .

$\frac{\tan (x) \tan (x)}{\tan (x) \cdot 1}$

Step 2.2.2

Cancel the common factor.

$\frac{\tan (x) \tan (x)}{\tan (x) \cdot 1}$

Step 2.2.3

Rewrite the expression.

$\frac{\tan (x)}{1}$

Step 2.2.4

Divide $\tan (x)$ by $1$ .

$\tan (x)$