Trigonometry Examples

$\sin (x) \cdot (2 \cos (x)) + 2 \cos (x) \cdot \cos (x)$

Rewrite using the commutative property of multiplication.

$2 \sin (x) \cos (x) + 2 \cos (x) \cdot \cos (x)$

Apply the sine double-angle identity.

$\sin (2 x) + 2 \cos (x) \cdot \cos (x)$

Multiply $2 \cos (x) \cos (x)$ .

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Raise $\cos (x)$ to the power of $1$ .

$\sin (2 x) + 2 (\cos^{1} (x) \cos (x))$

Raise $\cos (x)$ to the power of $1$ .

$\sin (2 x) + 2 (\cos^{1} (x) \cos^{1} (x))$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\sin (2 x) + 2 {\cos (x)}^{1 + 1}$

Add $1$ and $1$ .

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