Tolong di jawab dengan cara dan penyelesaiannya

sin(4x-3x)+sin(4x+3x)+sin(4x-x)+sin(4x+x)=0
2sin4x cos3x + 2sin4x cos x = 0
2sin4x (cos3x + cosx) = 0
2sin4x (cos(2x+x) + cos(2x-x)) = 0
2sin4x (2cos2x cosx) = 0
4sin4x cos2x cosx = 0
sin4x cos2x cosx = 0

sin4x = 0 = sin π .... x = π/4
cos2x = 0 = cos 1/2π ..... x = π/4
cosx = 0 = cos 1/2π .... x = π/2

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