If `x+iy=(3)/(2+cos theta + sin theta),"prove that" , x^(2)+y^(2)=4x-3.`

If x+iy=(3)/(2+cos theta+i sin theta), then show that x^(2)+y^(2)=4x-3

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

If x+iy=(2)/(3+cos theta+i sin theta), shoe that 2x^(2)+2y^(2)=3x-1

If x+iy=(2)/(3+cos theta+isin theta),"show that" " " 2x^(2)+2y^(2)=3x-1.

If x+iy=3/(2+costheta +i sin theta) , then show that x^2+y^2=4x-3

If x = 3 sin theta + 4 cos theta and y = 3 cos theta - 4 sin theta then prove that x^(2) + y^(2) = 25 .

If x=a sin theta+b cos theta and y=a cos theta -b sin theta, " prove that " x^(2)+y^(2)=a^(2)+b^(2).

If x = 3sin theta + 4cos theta and y = 3cos theta - 4 sin theta then prove that x^(2) + y^(2) = 25 .

If x = sin theta + cos theta sin 2 theta " and " y = cos theta + sin theta sin 2 theta,"prove that " (x+y)^(2//3) + (x-y)^(2//3) = 2