If `x=A cos^2 theta` and `y=A sin^2theta` then find `x+y`

If x +y= 3-cos4theta and x-y=4sin2theta then

If x = cos theta and y = sin^(3) theta, then |(yd ^(2)y)/(dx ^(2))+((dy)/(dx))^(2)|at theta=(pi)/(2) is:

If x=acos^3theta,y=a sin^3theta then find (d^2y)/(dx^(2))

If x+y=3-cos 4 theta and x-y=4sin 2 theta ,the value of sqrtx+sqrty is equal to

Find (dy)/(dx) if x=cos theta - cos 2 theta and" "y = sin theta - sin 2theta

if x = a cos^3 theta sin^2 theta and y = a cos^2 theta sin^3 theta and (x^2 + y^2)^p/(xy)^q is independent of theta , then (A) 4p=5q (B) 5p=4q (C) p+q=9 (D) pq=20

if x = a cos^3 theta sin^2 theta and y = a cos^2 theta sin^3 theta and (x^2 + y^2)^p/(xy)^q is independent of theta , then (A) 4p=5q (B) 5p=4q (C) p+q=9 (D) pq=20

Find (dy)/(dx) if x= 3 cos theta - cos 2theta and y= sin theta - sin 2theta.

If x =2 cos theta - cos 2 theta y = 2 sin theta - sin 2 theta Find (d^(2)y)/(dx^(2)) at theta = pi/2

If x = 2 cos theta - cos 2theta and y = 2 sin theta - sin 2theta then prove that : (dy)/(dx)=tan (3 theta)/(2)