Find the length of subtangent subnormal at a pont t on the curve `x=a(cos t+ sin t) y=a( sin t-t cos t)`

Find the length of subtangent subnormal at a pont t on the curve x=a(cos t+ t sin t) y=a( sin t-t cos t)

Slope of the normal to the curve x=a(t+sint),y=a(t-sint) is

Find the length of the tangent, length of the normal, the subtangent, the subnormal of the curve x=a cos^(3),theta, y= a sin^(3) theta(a gt 0)

Find (dy)/(dx) if x =a ( cos t + t sin t ), y = a ( sin t - t cos t).

Find the equations of tangent and normal to the following curves at the points indicated againts: x =cos t, y = sint at t=(pi)/(4)

The locus of the point represented by x = 3 (cos t + sin t ) , y = 2 ( cos t - sin t ) is