Saturday, 22 June 2013

Sum of the series sinθsin2θ+sin2θsin3θ+sin3θsin4θ+sin4θsin5θ+cdots+sinnthetasin(n+1)theta terms

The series is given:
ni=1sin(iθ)sin((i+1)θ)
We have to find the sum to n terms of the given series.
I could took out the 2sin2cos terms common in the series. But what to do further, please guide me.

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