Respuesta :

To divide complex numbers in polar form, divide the r parts and subtract the angle parts. Or


r2​(cosθ2​ + i sinθ2​) / r1​(cosθ1 + i sinθ1​) r2/​r1​(cos(θ2θ1​) + i sin(θ2​−θ1))

z1/z2

= 3/7 (cos(π/8-π/9) + i sin(π/8 - π/9))

= 3/7 (cos(π/72) + i sin(π/72))


r1​(cosθ1​ + i sinθ1​) / r2(cosθ2 + i sinθ2​) r1/​r2​(cos(θ1−θ2​) + i sin(θ1​−θ2))

z1/z2

=3(cos(pi/8)+isin(pi/8)/7(cos(pi/9)+isin(pi/9)

=3/7(cos(pi/8-pi/9)+isin(pi/8-pi/9)

=3/7(cos(pi/72)+isin(pi/72)