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anonymous
 one year ago
Write z = 5 + 5i in trigonometric form.
anonymous
 one year ago
Write z = 5 + 5i in trigonometric form.

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1441163170659:dw

surry99
 one year ago
Best ResponseYou've already chosen the best response.1Hint:Sketch the point it on the complex plane

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1441163275849:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0What does that graph mean?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.05 + 5i is in the form a+bi a = 5 b = 5 you can plot a+bi on the complex number plane as the ordered pair (a,b) which is why satellite73 plotted the point (5,5)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0it means the angle is easy to find if you use arctangent here it will not work because you are in the wrong quadrant

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0http://img.sparknotes.com/figures/A/a28868a2f5deab01f6e8c7727c2ee7a4/complexplane.gif

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0if you took \(\tan^{1}(1)\) you get \(\frac{\pi}{4}\) but you are not in quadrant 4, you are in quadrant 2

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So it's 3pi/4 instead, right?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0you cannot use arctan unless you are in quadrant 1 or 4

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0well you can use arctan, just add on pi to get to the right quadrant

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0you have to either know it, or use \[\cos(\theta)=\frac{a}{r}\] and \[\sin(\theta)=\frac{b}{r}\]

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0as satellite73 said, arctan(1) = pi/4 add on pi to get to 3pi/4 (pi/4) + (pi) = (pi/4) + (4pi/4) = (pi+4pi)/4 = 3pi/4

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0or what @jim_thompson5910 said, but in any case you have to know what quadrant you are in before you start
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