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Moderate

Inverse Function, Sine, Cosine

TRIG-HW4ZKF

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

What is the exact value of $\sin { \left( \cos ^{ -1 }{ \left( \cfrac { \sqrt { 2 } }{ 2 } \right) } \right) }$?

A

$\cfrac { 1 }{ 2 }$

B

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

C

$\cfrac { \sqrt { 3 } }{ 2 }$

D

$\cfrac { \sqrt { 2 } }{ 2 }$