Math, asked by abcde7f4ghmalinpariv, 1 year ago

prove that sinx/2 sin7x/2 + sin3x/2 sin11x/2 = sin2xsin5x

Answers

Answered by abhi178

51

use formula 2sinA.sinB =cos (A-B)-cos (A+B)
hence 1/2 (cos3x-cos4x)+1/2 (cos4x-cos7x)=1/2 (cos3x-cos7x)
=1/2 (2sin5x. sin2x)
=sin5x. sin2x

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