If `x +iy = (3)/(2 + cos theta + isin theta)` , show that `x^(2) + y^(2) = 4x - 3`

If x+iy=(1)/(1+ cos theta+ isin theta) , show that 4x^(2)-1=0

If x + iy = (1)/((1 + cos theta + isin theta)) then sin^(-1) x =

If (1 + cos theta - isin theta) ( 1+ cos 2 theta + isin 2 theta) = x +iy then x^(2) + y^(2) =

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

If x = sec theta - cos theta = y = sec ''theta - cos ^(n) theta then show that ((dy)/(dx)) ^(2) = (n ^(2) ( y ^(2) + 4))/(x ^(2) + 4)

If (1 + cos theta + isin theta) (1 + cos 2 theta + isin 2theta) = x + iy then y =

If (x - iy) ^(1//3) = a - ib, then show that (x)/(a) + (y)/(b) = 4 ( a ^(2) - b ^(2)).

If sin x cosh y = cos theta, cos x sinh y = sin theta then sinh^2 y =

If x =a cos ^(3) theta, y= a sin ^(3) theta then (d^(2) y)/( dx ^(2)) at theta = pi //4 is