Question

Graph each complex number. Then express it in rectangular form.

2(cos(4pi/3) + isin(4pi/3))

I don't understand where to go from here.

Answer 1

cos(4pi/3) = - 1/2
sin(4pi/3) = - √3/2

so
2(cos(4pi/3) + isin(4pi/3)) = -1/2 - (√3/2)i

here is a nice page for this topic
http://www.allaboutcircuits.com/vol_2/chpt_2/5.html