Find the sum of n terms of Series sin- -sin- -sin - -2-sin- -3-

Let S be the sum of series S=sinα #160; sin (α +β ) +sin (α +2β ) sin (α +3β ) +.... Multiplying with 2sin( β #160; 2 #160; ) #16 ...

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Properties of Argument

Find the sum ...

Question

Find the sum of n terms of Series $sin α - sin (α + β) + sin (α + 2 β) - sin (α + 3 β) + . . . . . .$

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