[" 47"x+iy=(3)/(2+cos theta+i sin theta)ddot pi" fites and "],[qquad [(x-1)(x-3)+y^(2),=0]]

Express (1)/(1-cos theta+2i sin theta) in the form x+iy.

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

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

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

If (1+cos theta-i sin theta)(1+cos2 theta+i sin2 theta)=x+iy then x^(2)+y^(2)=

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