Let $z$ and $w$ be the complex numbers in the picture below:

If $|z| = 3$ and $|w| = 2$, then what is the real part of $\dfrac{z}{w}$?

Guest Jan 12, 2019

#1**0 **

im assuming it means pi/3 radians, which is 60 degrees.

ok i suck at these, but im gonna give it a try

if z=a+bi, a^2+b^2=9

if w=c+di, c^2+d^2=4

ignoring the diagram, if w is 2i, then z is -3sqrt3/2+3i/2 by 30-60-90. the quotient is i(-3sqrt3/2+3i/2)/(-2), or (-3/2)/(-2) ignoring the complex part, so the answer is 3/4.

HOPE THIS HELPED!!!!

asdf335 Jan 12, 2019