Simplify sin(x)+sin(-x)

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

Step 1

Since $\sin (- x)$ is an odd function, rewrite $\sin (- x)$ as $- \sin (x)$ .

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

Step 2

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

$0$

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