The solution set of sin7x+sin3x=sin2x+sin8x
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sin7x+sin3x=sin2x+sin8x
2 sin5x cos2x = 2sin5x cos3x
sin5x( cos3x - cos2x) = 0
sin5x = 0
5x = 0,π,2π , 3π,4π, .... = ±nπ , n is an integer
x = ±nπ/5 , n is an integer
cos3x = cos2x
3x = 2x , ±2nπ - 2x
x = 0 , ±2nπ/5
x = ±nπ/5, ±2nπ/5 , n is an integer
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