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If x=acos^3t y =asin^3t then (dy)/(dx)=...

If `x=acos^3t y =asin^3t` then `(dy)/(dx)=`

Text Solution

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`dx/dt=3acos^2t*(-sint)=-3acos^2t*sint`
`dy/dt=3asin^2t*(cost)=3asin^2tcost`
`dy/dx=(dy/dt)/(dx/dt)=(3asin^2tcost)/(-3acos^2tsint)`
`-sint/cost=-tant`.
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