[UPSEAT 2002]
2
B) $ 2^{n} $
C) $ {2^{n-1}} $
D) $ {2^{n-2}} $
Correct Answer: A
$ \sin x+\cos ecx=2\Rightarrow {{(\sin x-1)}^{2}}=0\Rightarrow \sin x=1 $
$ \therefore {{\sin }^{n}}x+{{\csc }^{n}}x=1+1=2 $
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