Question

Find the quotient of the complex numbers: 2 * (sqrt 3) (cos (116 deg) + i sin (116 deg)) / 2(cos (82 deg) + isin (82 deg ))

Answer 1

\[\dfrac{ 2 * (sqrt 3) (cos (116 deg) + i sin (116 deg)) }{ 2(cos (82 deg) + isin (82 deg ))} \]

that?!

[i won't tighten the Latex]

Answer 2

The problem literally has a division symbol instead of a fraction set up so I don't know...

Answer 3

If \(z=re^{i\theta}\) and \(w=se^{i\varphi}\), then
\[z/w=\frac{z}{w}=\frac{r}{s}e^{i(\theta-\varphi)}\]i.e. divide the moduli and subtract the arguments.

Answer 4

if there is a problem with a division vs fraction symbol, i reckon the idea of polar complex is not on the menu, hence my laziness in the latex

hope i am wrong :)

Answer 5

\[\frac{ 2\sqrt{3} e^{\iota 116}}{ 2 e^{\iota82} }=\sqrt{3}e ^{^{\iota(116-82)}}=\sqrt{3}e ^{\iota34}\]
=?

Answer 6

change in cos and sin

Answer 7

previous one on OS::

http://openstudy.com/users/onthecly2#/updates/58519d6de4b02201566815f1