If \[\sin \theta +\cos \theta =\sqrt{2}\cos \alpha \], then the general value of \[\theta \] is

\[n\pi -\frac{\pi }{4}\pm \alpha \]

\[2n\pi -\frac{\pi }{4}\pm \,\,\alpha \]

\[2n\pi +\frac{\pi }{4}\pm \alpha \]

\[n\pi +\frac{\pi }{4}\pm \alpha \]

If \[\sin \theta +\cos \theta =\sqrt{2}\cos \alpha \], then the genera

1.	If \[\sin \theta +\cos \theta =\sqrt{2}\cos \alpha \], then the general value of \[\theta \] is
A.	\[2n\pi -\frac{\pi }{4}\pm \,\,\alpha \]
B.	\[2n\pi +\frac{\pi }{4}\pm \alpha \]
C.	\[n\pi -\frac{\pi }{4}\pm \alpha \]
D.	\[n\pi +\frac{\pi }{4}\pm \alpha \]
Answer» C. \[n\pi -\frac{\pi }{4}\pm \alpha \]

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If \[\sin \theta +\cos \theta =\sqrt{2}\cos \alpha \], then the general value of \[\theta \] is

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