Theory Divide a+bic+di\dfrac{a+bi}{c+di}c+dia+bi by multiplying by the conjugate c−dic-dic−di. Convert x+iyx+iyx+iy to polar using: r=x2+y2,θ=tan−1(yx) (adjust quadrant)r=\sqrt{x^2+y^2},\quad \theta=\tan^{-1}\left(\frac{y}{x}\right)\ \text{(adjust quadrant)}r=x2+y2,θ=tan−1(xy) (adjust quadrant)