Question
Find each product or quotient. Express the result in rectangular form.
2(cosπ/6+isinπ/6) X 4(cos2π/3 +i2π/3)
2(cosπ/6+isinπ/6) X 4(cos2π/3 +i2π/3)
Answers
Damon
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
= 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