If `x= Cos theta + i sin theta`, find `x^6 + (1/x^6)`.

If x = a cos theta and y = b sin theta , find (dy)/(dx)

If a=cos theta +i sin theta , find the value of frac{1+a}{1-a}

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

If x= a(cos theta + sin theta ), y= a(sin theta + cos theta ), then [( d^2 y)/(d x^2 ) ] at theta = pi /4 ............. A) 0 B) 1 C) -1 D) 1/sqrt 2

If x=a cos theta + b sin theta and y=a sin theta - b cos theta. then a ^(2) +b^(2) is equal to

If x= cos theta , y= sin^3 theta , show that y( d^2 y)/(d x^2 ) + (dy/dx)^2 = 3 sin^2 theta (5 cos^2 theta - 1)

If x= cos theta , y= sin^3 theta , show that y ( d^2 y)/(d x^2 ) + (dy/dx)^2 = 3 sin^2 theta (5 cos^2 theta - 1)

sin theta/(1+cos theta)=

If x=2 cos theta- cos 2 theta and y=2 sin theta - sin 2 theta, then (dy)/(dx) =