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Let, $z=0+(-2i)$

$\therefore$ mod of $z=2$

But, I am getting stuck over here and I am unable to find the argument as the $\tan\alpha$ comes out to be not defined.

Any hint or help would be much appreciated.

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Rather than just approaching it with a formula think about it graphically. Where is $-2i$ located on an Argand diagram?

It is on the vertical axis below the origin. Thus the argument is $-\frac{\pi}{2}$.

enter image description here

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  • $\begingroup$ Can you please explain me that? Thanks for the help though! $\endgroup$ – Abhishekstudent May 4 '16 at 14:27
  • $\begingroup$ This is very good advice. $\endgroup$ – Karl May 4 '16 at 14:30
  • $\begingroup$ @Abhishekstudent I've added a diagram. If that doesn't help please state what you mean by "Can you please explain me that?" I did explain it. $\endgroup$ – Ian Miller May 4 '16 at 16:55
  • $\begingroup$ Thanks sir for your priceless time. I am really grateful to you. $\endgroup$ – Abhishekstudent May 11 '16 at 16:41

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