question_answer

General solution of the equation \[(\sqrt{3}-1)\,\,\sin \theta +(\sqrt{3}+1)\,\,\cos \theta =2\] is

A)  \[2n\pi \,\,\pm \,\,\frac{\pi }{4}\,\,+\,\,\frac{\pi }{12}\]

B)  \[n\pi +{{(-1)}^{n}}\,\,\frac{\pi }{4}\,\,+\,\,\frac{\pi }{12}\]

C)  \[2n\pi \,\,\pm \,\,\frac{\pi }{4}\,\,-\,\,\frac{\pi }{12}\]      

D)  \[n\pi +\,\,{{(-1)}^{n}}\,\,\frac{\pi }{4}\,\,-\,\,\frac{\pi }{12}\]

E)  None of these