How do you simplify 1/2(cos(pi/3)+isin(pi/3))div 3(cos(pi/6)+ising(pi/6)) and express the result in rectangular form?

1 Answer
Feb 16, 2017

1/6 i

Explanation:

Using Euler's formula,

cos theta +i sin theta = e^(i theta), the given problem reduces to,
(1/2 e^(i pi/3)) / (3 e^(i pi/6)

1/6 e^i( pi/3 -pi/6)

1/6 e^(i pi/2)

1/6 (cos (pi/2) +i sin (pi/2))

1/6 i....................... [ cos (pi/2) =0 and sin (pi/2) =1]