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find the argument of-:

[tex]Z=\frac{\iota-\sqrt{3}}{\iota+\sqrt{3}} [/tex]

Method 1

[tex]Z={2e^{\frac{- \iota \pi}{3}} \mbox{ divided by } {2e^{\frac{\iota \pi}{3}} [/tex]

[tex]Z=e^{\frac{-2 \iota \pi}{3}}[/tex]

Therefor arg(Z)=[tex] \ -\frac{2\pi}{3} [/tex]

Method 2

[tex]Z=\frac{4}{1+2\sqrt{3}\iota-3} [/tex]

[tex]Z=\frac{2}{-1+\sqrt{3}\iota} [/tex]

[tex] \mbox{arg}(Z)=0+\frac{\pi}{3} = \frac{\pi}{3} [/tex]

What am i getting wrong ?

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# Homework Help: Argument of complex expr.

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