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Questions  

If sinx+cosecx=2 then sinnx+cosecnx is equal to

a
2
b
2n
c
2n-1
d
2n-2

detailed solution

Correct option is A

sin⁡x+cosec⁡x=2 or (sin⁡x−1)2=0 or sin⁡x=1⇒sinn⁡x+cosecn⁡x=1+1=2

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