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If x=2costheta-cos2\ theta and y=2sinthe...

If `x=2costheta-cos2\ theta` and `y=2sintheta-sin2\ theta` , prove that `(dy)/(dx)=tan((3theta)/2)`

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If x=2cos theta-cos2 theta and y=2sin theta-sin2 theta, prove that (dy)/(dx)=tan((3 theta)/(2))

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Knowledge Check

  • If x=2 cos theta- cos 2 theta and y=2 sin theta - sin 2 theta, then (dy)/(dx) =

    A
    `- tan ((3theta)/2)`
    B
    `cot(theta/2)`
    C
    `tan ((3theta)/2)`
    D
    `cot ((2theta)/3)`

  • If x=3 cos theta - 2 cos^3 , theta , y = 3 sin theta -2 sin^3 theta then (dy)/(dx)=

    A
    `sin theta`
    B
    `cos theta `
    C
    ` tan theta `
    D
    ` cot theta`

  • If x=2cos theta -cos 2theta ,y=2sin theta -sin 2theta ,then (dy)/(dx) =

    A
    ` tan ((theta )/(2))`
    B
    ` -tan((theta)/(2))`
    C
    ` tan ((3theta )/( 2))`
    D
    ` -tan ((3theta )/(2))`

    • Similar Questions

    Explore conceptually related problems

    If =2cos theta-cos2 theta and y=2sin theta-sin2 theta Prove that (dy)/(dx)=tan((3 theta)/(2))

    If x=cos theta-cos2 theta,y=sin theta-sin2 theta then (dy)/(dx) is

    If x= 3 cos theta - 2 cos^2 theta , y= 3 sin theta - 2 sin^3 theta , then (dy)/(dx)=

    If x=a sin2 theta(1+cos2 theta) and y=b cos2 theta(1-cos2 theta), then prove that (dy)/(dx)=(b)/(a)tan theta

    If x=2costheta-cos2theta,y=2sintheta-sin2theta,"find "dy/dx" at "theta=pi/2 .

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