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Find the general solution for each of th...

Find the general solution for each of the following equation: `sin x + sin 3x + sin 5x = 0`

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`sinx+sin3x+sin5x = 0`
`=> 2sin((5x+x)/2)cos((5x-x)/2) +sin3x = 0`
`=>2sin3xcos2x+sin3x = 0`
`=>sin3x(2cos2x+1) = 0`
`:. sin3x = 0 or 2cos2x+1 = 0`
`=> x = npi or cos2x = -1/2`
`=>x = npi or x = 2npi+-(2pi)/3`, which is our general solution.
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