AIR MATH

Math Question

Find the exact value using a sum or difference identity.
\[
\begin{array}{l}
\cos 105^{\circ} \\
\frac{\sqrt{2}-\sqrt{[?]}}{[]}
\end{array}
\]
Hint: \( \sin (A \pm B)=\sin A \cos B \pm \cos A \sin B \) \( \cos (A \pm B)=\cos A \cos B \mp \sin A \sin B \)
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