To find the solution sinx -sin5x = 0. Or
sin5x = sinx = sin (x+2npi)..........(1) Or
sin5x = sin {(2n+1)Pi-x}.............(2)
From (1) 5x = x+2npi Or
5x-x = 2npi Or
4x = 2npi. Or
x = npi/2, for n=0,1,2........
From (2), 5x= (2n+1)pi- x. Or
6x = (2n+1)Pi. Or
x= (2n+1)pi/6, for n =0,1,2....
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