if
`x=sin^2theta-cos^2alpha and y=sin^2alpha-cos^2theta`
then the relation between x and y is

If A=2 sin^2 theta - cos 2 theta and A in [alpha, beta] , then find the values of alpha and beta.

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

If cos alpha + cosbeta=a, sinalpha + sinbeta=b and theta is the arithmetic mean between alpha and beta , then (sin2theta + cos 2theta) is equal to :

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

If x= a sin 2theta (1+ cos 2theta) , y= b cos 2theta(1- cos 2theta) , then (dy)/(dx) =

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

If sin theta+sin2theta+sin3theta=sin alpha and cos theta+cos 2theta+cos3theta=cos alpha , then theta is equal to

If tan theta=(sin alpha- cos alpha)/(sin alpha+cos alpha) , then:

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

Under rotation of axes through theta , x cosalpha + ysinalpha=P changes to Xcos beta + Y sin beta=P then . (a) cos beta = cos (alpha - theta) (b) cos alpha= cos( beta - theta) (c) sin beta = sin (alpha - theta) (d) sin alpha = sin ( beta - theta)