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Find the exact $\sin{\cfrac{7\pi}{12}}$ by using the angle addition or subtraction formula for sine.

A

$\cfrac{\sqrt{2}-\sqrt{6}}{4}$

B

$\cfrac{\sqrt{6}-\sqrt{2}}{4}$

C

$\cfrac{\sqrt{6}+\sqrt{2}}{4}$

D

$\cfrac{\sqrt{6}+\sqrt{2}}{2}$

E

$\cfrac{\sqrt{8}}{4}$

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