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Questions  

If sinθ+cosecθ=2 , then sinnθ+cosecnθ is equal to

a
2
b
2n
c
4n
d
none of these

detailed solution

Correct option is A

We can write sin2θ+1=2sinθ⇒sin2θ−2sinθ+1=0⇒sinθ−12=0⇒sinθ=1⇒cosecθ=1And thus sinnθ+cosecnθ=2

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