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

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

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

If (cos theta + isin theta)^(2) = x + iy, then show that x^(2) + y^(2) = 1

If x+a= a(2 cos theta-cos 2 theta) and y= a(2 sin theta- sin 2 theta) ,show that (x^(2)+y^(2)+2ax)^(2)=4a^(2)(x^(2)+y^(2)) .

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