11 HL: Modulus-Argument Form

Complete the following questions before our next class.

Find the modulus-argument for of the following complex numbers. Restrict your arguments to the interval $[0, 2\pi[$.

1. 3 + 5i
2. –3 + 5i
3. 3 – 5i
4. Is $z=-2 \textrm{cis} \left(\frac{\pi}{6}\right)$ a complex number? Explain why it is not correctly expressed in modulus-argument form, and find a correct expression for $z$ in modulus argument form.