Modulus and argument

Find the mod z and argument z if z=i

Correct result:

m =  1
a =  1.5708

Solution:

$$\begin{gathered} z=i \\ m=\mathrm{\mid }z\mathrm{\mid }=\sqrt{R{e}^{2}z+I{m}^{2}z} \\ m=\sqrt{0^2+1^2}=1 \end{gathered}$$

$$\begin{gathered} a=argz \\ a=\arctan {\displaystyle \frac{Imz}{Rez}}=\arctan {\displaystyle \frac{1}{0}} \\ a=\pi \mathrm{/}2=3.1416\mathrm{/}2=1.5708 \end{gathered}$$

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