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anonymous
 one year ago
Write the following complex number in polar form. Express all angles in degrees rounded to the nearest tenth.
–3
anonymous
 one year ago
Write the following complex number in polar form. Express all angles in degrees rounded to the nearest tenth. –3

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zepdrix
 one year ago
Best ResponseYou've already chosen the best response.2\[\Large\rm 3=\color{royalblue}{3}\cdot\color{orangered}{(1)}=\color{royalblue}{r}\cdot\color{orangered}{e^{i?}}\]

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.2You have learned about the exponential form, or no?

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.2\[\large\rm \color{royalblue}{3}\cdot\color{orangered}{(1)}=\color{royalblue}{r}\color{orangered}{(\cos \theta+i \sin \theta)}\]Maybe this breakdown is unnecessary. 3 is along the real axis. So what angle is that? :)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yes, i know what exponential form. the angle would be 180 degrees, yes? but how do i write the entire answer?

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.2dw:1441670191367:dw\[\large\rm \color{royalblue}{r}\color{orangered}{(\cos \theta+i \sin \theta)}=\color{royalblue}{3}\cdot\color{orangered}{(1)}=\color{royalblue}{3}\cdot\color{orangered}{(\cos180+i \sin180)}\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so polar form is just 180degrees?

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.2No, the polar form is everything on the right of that last equals sign. \[\large\rm 3=3(\cos180^o+i \sin 180^o)\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so that's my answer? 3 (cos180° +i sin180°) ?
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