A) \[n\pi +\frac{7\pi }{4}\]
B) \[n\pi +{{(-1)}^{n}}\frac{7\pi }{4}\]
C) \[2n\pi +\frac{7\pi }{4}\]
D) None of these
Correct Answer: C
Solution :
\[\tan \theta =-1=\tan \left( 2\pi -\frac{\pi }{4} \right)\], \[\cos \theta =\frac{1}{\sqrt{2}}=\cos \left( 2\pi -\frac{\pi }{4} \right)\] Hence general value is \[2n\pi +\left( 2\pi -\frac{\pi }{4} \right)=2n\pi +\frac{7\pi }{4}\].
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