Answer
$\frac{\sqrt 2}{2}$
Work Step by Step
The given problem can be solved as:
$sin({cos^{-1}(\frac{\sqrt 2}{2})})=sin ( \frac{\pi}{4})$
or, $sin ( \frac{\pi}{4})=\frac{\sqrt 2}{2}$
Hence. the final answer is: $\frac{\sqrt 2}{2}$
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