`x=3cost-2cos^(3)t,y=3sint-2sin^(3)t`

Find dy/dx, x=3 cos t-2cos^3t , y=3sint-2sin^3t .

Show that the equation of normal at any point ton the curve x=3cos t-cos^(3)t and y=3sin t-sin^(3)t is 4(y cos^(3)t-x sin^(3)t)=3sin4t

Show that the equation of normal at any point t on the curve x=3cost-cos^3t and y=3sint-sin^3t is 4(ycos^3t-xsin^3t)=3sin4t.

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

If x=cost(3-2cos^(2)t) and y=sint(3-2sin^(2)t) , find the value of (dy)/(dx) at t=(pi)/(4) .

If x = 3 cos t - 2 cos^3 t,y = 3 sin t- 2 sin^3 t, then dy/dx is

Show that the equation of normal at any point t on the curve x=3 cos t - cos^(3) t and y=3 sin t - sin^(3) t is 4(y cos^(3) t-x sin^(3) t) = 3 sin 4t .

If x=cost(3-2\ cos^2t) and y=sint(3-2sin^2t) find the value of (dy)/(dx) at t=pi/4