Precalculus Examples

$\frac{\sin (x)}{1 + \cos (x)} \cdot \frac{1 - \cos (x)}{1 - \cos (x)}$

Step 1

Cancel the common factor of $1 - \cos (x)$ .

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Step 1.1

Cancel the common factor.

$\frac{\sin (x)}{1 + \cos (x)} \cdot \frac{1 - \cos (x)}{1 - \cos (x)}$

Step 1.2

Rewrite the expression.

$\frac{\sin (x)}{1 + \cos (x)} \cdot 1$

Step 2

Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.

$1 + \cos (x), 1$

Step 3

Remove parentheses.

$1 + \cos (x), 1$

Step 4

The LCM of one and any expression is the expression.

$1 + \cos (x)$