Given #z# is a complex number such that #Arg(z) = theta# and #|z| = r# , write an expression for each of #Arg(4z^3)# and #|4z^3|# in terms of r and/or θ. How should I approach this?
2 Answers
Jun 9, 2018
Contd.........
Explanation:
A complex no.
Clearly,
By De Moivre's Theorem,
Jun 9, 2018
-
#"Arg"(4 z^3) = 3 theta# -
#abs (4 z^3) = 4 r^3 #