Question

Please help!! I included a pic of the problem to make it easier.

Find the quotient (z/w)

z = 6(cos(pi/3) + isin(pi/3), w = 3(cos(pi/6) + isin(pi/6)

[A]2(cos(pi/6)+isin(pi/6)
[B]2(cos(pi/90)+isin(pi/90)
[C]18(cos(pi/2)+isin(pi/2)
[D] None of these

Answer 1

Answer: i think it is D

we have:

`(z)/(w)= (6(cos(\pi )/(3)+i.sin(\pi )/(3) ) )/(3(cos(\pi )/(6)+i.sin(\pi )/(6)) )\\\\\\<=>(z)/(w)=(2((1)/(2)+i.(√(3) )/(2)) )/((√(3) )/(2)+i.(1)/(2) )\\\\<=>(z)/(w)= (2+2√(3).i )/(√(3)+i )`

Explanation: