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A curve has the equation $y=\sin x$. Choose an expression for the average rate of change on the interval $[x, \pi]$.

A

$\cfrac{\sin(x)}{x-\pi}$

B

$-\cfrac{\sin(x)}{x-\pi}$

C

$\cfrac{\sin(\pi+x)-\sin(x)}{x}$

D

$\cfrac{x-\pi}{\sin(x)}$

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