Simplify sin(-t)-sin(t)

$\sin (- t) - \sin (t)$

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

$- \sin (t) - \sin (t)$

Subtract $\sin (t)$ from $- \sin (t)$ .

$- 2 \sin (t)$

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