Trigonometry Examples

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

Simplify each term.

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Add $\cos (x)$ and $\cos (x)$ .

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

Apply the product rule to $2 \cos (x)$ .

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

Raise $2$ to the power of $2$ .

$4 \cos^{2} (x) + {(\cos (x) + \cos (x))}^{2}$

Add $\cos (x)$ and $\cos (x)$ .

$4 \cos^{2} (x) + {(2 \cos (x))}^{2}$

Apply the product rule to $2 \cos (x)$ .

$4 \cos^{2} (x) + 2^{2} \cos^{2} (x)$

Raise $2$ to the power of $2$ .

$4 \cos^{2} (x) + 4 \cos^{2} (x)$

Add $4 \cos^{2} (x)$ and $4 \cos^{2} (x)$ .

$8 \cos^{2} (x)$