Find the quotient of the complex numbers. Express your answer in trigonometric form.

z1=5(cos25°+i sin25°)
z2=2(cos80°+i sin80°)

Question

Find the quotient of the complex numbers. Express your answer in trigonometric form. 

z1=5(cos25°+i sin25°)
z2=2(cos80°+i sin80°)

kj4uts · Answer

attachment

freckles · Answer

$$z_1=r_1 (\cos(\theta_1)+i \sin(\theta_1)) \ z_2=r_2(\cos(\theta_2)+i \sin(\theta_2)) \ \frac{z_1}{z_2}=\frac{r_1}{r_2}(\cos(\theta_1-\theta_2)+i \sin(\theta_1-\theta_2))$$
is the rule for division

freckles · Answer

And I assume they want z_1/z_2 and not z_2/z_1
but who knows

freckles · Answer

from the choices it totally looks like z_1/z_2