Trigonometry Examples

$\sin (x) \cdot (- \sin (x))$

Step 1

Rewrite using the commutative property of multiplication.

$- \sin (x) \sin (x)$

Step 2

Multiply $- \sin (x) \sin (x)$ .

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

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

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

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

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

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

Add $1$ and $1$ .

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