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Question

nLt1n{sin2π2n+sin22π2n++sin2nπ2n}=

A
0
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B
1
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C
1/2
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D
2
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Solution

The correct option is D 1/2
1n{sin2π/2n+sin2π2n+....sin2xπ2π}
n
με1nsin2(x72n)nx=0
I=10sin2(7/2n)dx
2I=101dx
2I=1
I=1/2

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