Precalculus Examples

$2 \cos (\frac{6 x + 4 x}{2}) \cos (\frac{6 x - 4 x}{2})$

Step 1

Add $6 x$ and $4 x$ .

$2 \cos (\frac{10 x}{2}) \cos (\frac{6 x - 4 x}{2})$

Step 2

Cancel the common factor of $10$ and $2$ .

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Step 2.1

Factor $2$ out of $10 x$ .

$2 \cos (\frac{2 (5 x)}{2}) \cos (\frac{6 x - 4 x}{2})$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $2$ out of $2$ .

$2 \cos (\frac{2 (5 x)}{2 (1)}) \cos (\frac{6 x - 4 x}{2})$

Step 2.2.2

Cancel the common factor.

$2 \cos (\frac{2 (5 x)}{2 \cdot 1}) \cos (\frac{6 x - 4 x}{2})$

Step 2.2.3

Rewrite the expression.

$2 \cos (\frac{5 x}{1}) \cos (\frac{6 x - 4 x}{2})$

Step 2.2.4

Divide $5 x$ by $1$ .

$2 \cos (5 x) \cos (\frac{6 x - 4 x}{2})$

Step 3

Subtract $4 x$ from $6 x$ .

$2 \cos (5 x) \cos (\frac{2 x}{2})$

Step 4

Cancel the common factor of $2$ .

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Step 4.1

Cancel the common factor.

$2 \cos (5 x) \cos (\frac{2 x}{2})$

Step 4.2

Divide $x$ by $1$ .

$2 \cos (5 x) \cos (x)$