Eliminate theta,if x=a `cos^3 theta`y=b`sin^3 theta`

If x = a cos^3 theta, y = b sin^3 theta , then

Eliminate theta,if x=a sectheta y=b tantheta

Eliminate theta ,if x= at^2, y=2at

Eliminate theta if x=a cot theta +b cosec theta and y=acosec theta+b cot theta.

Eliminate theta if x=a cot theta -b cosec theta and y=acot theta+b cosec theta.

Find the equations of tangent and normal to the following curves at the individual points on them: x= a cos^3 theta, y=a sin^3 theta at theta = (pi)/4

Find (d^2 y)/(dx^2) of the following: x = a cos^3 theta , y= b sin^3 theta

Prove that : (1-sin theta cos theta)/ (cos theta (sec theta - cosec theta)) times (sin^2 theta - cos^2 theta)/(sin^3 theta + cos^3 theta) = sin theta

Find dy/dx if, x= a cos^(3) theta , y= a sin^(3) theta at theta = pi / 3