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Find the exact value of $\cos^{-1}\left(\sin\cfrac{\pi}{6}\right)$

Do not use a calculator. You may use the unit circle.

A

$\cfrac{1}{2}$

B

$-\cfrac{\pi}{6}$

C

$\cfrac{\pi}{3}$

D

$\cfrac{2\pi}{3}$

E

$\cfrac{5\pi}{3}$

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