Find each product or quotient. Express the result in rectangular form.

2(cosπ/6+isinπ/6) X 4(cos2π/3 +i2π/3)

1 answer

2 e^i(pi/6) * 4 e^i(4pi/6)

= 8 e^i(5 pi/6)

= 8 [cos (5 pi/6) + i sin (5 pi/6)]
150 degrees , quadrant 2 , 30 above -x axis

8 [ -sqrt3/2) + i (1/2) ]

-4 sqrt 3 + 4 i