A) \[x=n\pi \pm \frac{\pi }{2}\]
B) \[x=n\pi \pm \frac{\pi }{4}\]
C) \[x=n\pi \pm \frac{3\pi }{2}\]
D) None of these
Correct Answer: B
Solution :
\[4+2{{\sin }^{2}}x=5\] \[\Rightarrow \] \[{{\sin }^{2}}x=\frac{1}{2}={{\sin }^{2}}\frac{\pi }{4}\Rightarrow x=n\pi \pm \frac{\pi }{4}\].
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