If `x/a cos theta + y/b sin theta = 1` , `x/a sin theta - y/b cos theta = 1` then `x^2/a^2 + y^2/b^2 = `

If x = a cos theta + b sin theta and y =asin theta-b cos theta , then prove that y^2 (d^2y)/(dx^2)-x(dy)/(dx)+y=0

Prove that : x cos theta + y sin theta = a and x sin theta - y cos theta = b are the parametric equations of a circle for all theta satisfying 0le thetalt2pi

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

If x = X cos theta- Y sin theta, y = X sin theta + Y cos theta and x^2 + 4 x y + y^2 = A X^2 + B Y^2 0 <= theta <= pi/2, then

(sin theta + sin 2 theta)/( 1 + cos theta + cos 2 theta) = tan theta.

x = a cosec theta + b cot theta and y= a cosec theta - b cot theta show that [ (x+y)/a ]^2 -[ (x-y)/b]^2 =4

If x sin^3 theta+ y cos^3 theta = sin theta cos theta and x sin theta = y cos theta, Find the value of x^2 + y^2.

if x = "cos" theta - "cos" 2 theta, y = "sin" theta - "sin" 2 theta , then dy/dx is

Show that equations x=a cos theta + b sin theta, y = a sin theta - b cos theta represents a circle, wheter theta is a parameter.

Show that : x=a cos theta - b sin theta and y = a sin theta + b cos theta , represent a circle where theta is the parameter.