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If xsin(a+y)+sina cos(a+y)=0, prove that...

If `xsin(a+y)+sina cos(a+y)=0`, prove that `(dy)/(dx)=sin^2(a+y)/sina`

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Verified by Experts

`(UV)'=U'V+VU'`
`1*sin*(a+y)+xcos(a+y)y'+sina(-sin(a+y))(o+y')=0`
`y'[xcos(a+y)-sinasin(a+y)]=-sin(a+y)`
`y'=(-sin(a+y))/(xcos(a+y)-sin(sin(a+y)))*sin(a+y)/(sin(a+y)`
`y'=(-sin(a+y))/(-sina[cos^2(a+y)+sin^2(a+y)]`
`y'=sin^2(a+y)/(sina)`.
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