A) \[2n\pi \pm \frac{\pi }{4}\]
B) \[n\pi \pm \frac{\pi }{4}\]
C) \[n\pi +{{(-1)}^{n}}\frac{\pi }{4}\]
D) None of these
Correct Answer: B
Solution :
\[5-5{{\sin }^{2}}\theta +7{{\sin }^{2}}\theta =6\] \[\Rightarrow \] \[2{{\sin }^{2}}\theta =1\] \[\Rightarrow \] \[{{\sin }^{2}}\theta =\frac{1}{2}={{\sin }^{2}}\left( \frac{\pi }{4} \right)\Rightarrow \theta =n\pi \pm \frac{\pi }{4}\].
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