Question 4
Express the complex numbers below in Cartesian (rectangular) form.
(a) [tex]4 \operatorname{cis}\left(\frac{\pi}{6}\right)[/tex]
(b) [tex]\sqrt{2} \operatorname{cis}\left(\frac{11 \pi}{4}\right)[/tex]
(c) [tex]2 \operatorname{cis}\left(\frac{2 \pi}{3}\right)[/tex]

Question 5
Express [tex](-2+2 i)^{10}[/tex] in the form [tex]re ^{i \theta}[/tex].

Question 6
Solve the equations below, expressing your answers in Cartesian form.
(a) [tex]z^2=9 i[/tex]
(b) [tex]z^3=8[/tex]
(c) [tex]z^4=-8+8 \sqrt{3} i[/tex]