Question 1
If $z = \cos\theta + i\sin\theta$, what is the result of $z^3$ using De Moivre's Theorem?
Question 2
What is the principal argument of the complex number $z = 1 + i$?
Question 3
Which of the following represents the modulus of the complex number $z = 3 + 4i$?
Question 4
If $z = \cos(\frac{\pi}{3}) + i\sin(\frac{\pi}{3})$, what is the value of $z^{-1}$?
Question 5
What is the result of $(\cos(15^\circ) + i\sin(15^\circ))^4$?
