- #1

- 16

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I was given this question and the answer:

Find the polar forms of [tex]1/z[/tex] where z = [tex]\sqrt{}3[/tex] + i

and [tex]1/z[/tex] where z = 4[tex]\sqrt{}3[/tex] -4i

Answers respectively are:

[tex]1/2[/tex] cis([tex]-\pi/6[/tex])

[tex]1/8[/tex] cis([tex]\pi/6[/tex])

Can someone please explain to me why it is that the sign of the argument changes in the answer from + to -, for the first question, and - to +, for the second question?