Trigonometry Examples

$\sin (2 x) \sin (x) - \cos (x)$

Step 1

Apply the sine double-angle identity.

$2 \sin (x) \cos (x) \sin (x) - \cos (x)$

Step 2

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

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Step 2.1

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

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

Step 2.2

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

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

Step 2.3

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

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

Step 2.4

Add $1$ and $1$ .

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