question_answer

If \[\sin \theta +\cos \theta =1,\] than the general value of \[\theta \] is.

A)  \[2n\,\pi \]                    

B)  \[n\,\pi +{{(-\,1)}^{n}}\,\,\frac{\pi }{4}\,\,-\,\,\frac{\pi }{4}\]

C)  \[2n\,\pi +\frac{\pi }{2}\]                      

D)  \[2n\,\pi +\,\,\frac{2\pi }{2}\]

E)  None of these