Trigonometry Examples

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

Step 1

Subtract $\cos (x)$ from $\cos (x)$ .

$0^{2} + {(\cos (x) + \cos (x))}^{2}$

Step 2

Simplify each term.

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Step 2.1

Raising $0$ to any positive power yields $0$ .

$0 + {(\cos (x) + \cos (x))}^{2}$

Step 2.2

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

$0 + {(2 \cos (x))}^{2}$

Step 2.3

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

$0 + 2^{2} \cos^{2} (x)$

Step 2.4

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

$0 + 4 \cos^{2} (x)$

Step 3

Add $0$ and $4 \cos^{2} (x)$ .

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