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Solve 1+sinxsin^2x/2=0...

Solve `1+sinxsin^2x/2=0`

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`1+sinxsin^2(x/2) = 0`
`=>1+sinx((1-cosx)/2) = 0`
`=>2+sinx-sinxcosx = 0`
`=>2+sinx-(sin2x/2) = 0`
`=>2+sinx = (sin2x)/2`
`=>4+2sinx = sin2x->(1)`
Now, we know, `-1 le sinx le 1`.
`=>-2 le 2sinx le 2`
...
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