If \[\sin A+\cos A=\sqrt{2},\]then \[{{\cos }^{2}}A=\]

1.	If \[\sin A+\cos A=\sqrt{2},\]then \[{{\cos }^{2}}A=\]
A.	\[\frac{1}{4}\]
B.	\[\frac{1}{2}\]
C.	\[\frac{1}{\sqrt{2}}\]
D.	\[\frac{3}{2}\]
Answer» C. \[\frac{1}{\sqrt{2}}\]

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If \[\sin A+\cos A=\sqrt{2},\]then \[{{\cos }^{2}}A=\]

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