Covert the following complex number into `A + iB` form --
i) `(\frac{1+i}{1-i})^3`
ii) `(\frac{1-i}{1+i})^100`
iii) `\frac{(1+i)^2}{3-i}`
iv) `\frac{\sqrt{3}+i\sqrt{2}}{2\sqrt{3}+i\sqrt{2}}`
v) `\frac{1}{1-\cos\theta-i\sin\theta}`