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anonymous
 one year ago
Express the complex number in trigonometric form.
3i
anonymous
 one year ago
Express the complex number in trigonometric form. 3i

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jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1Think of `3i` as `03i = 0 + (3i)` the last expression is in the form `a+bi` where `a = 0` and `b = 3`

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1You need to find r and theta use \[\Large r = \sqrt{a^2 + b^2}\] \[\Large \theta = \arctan\left(\frac{b}{a}\right)\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0r = √0^2 + 3^2 = √0 + 9 = √9 = 3

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1basically that says: "the point (0,3) is 3 units away from the origin" `0+(3i)` can be plotted on the complex plane as the point (0,3)

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1what would theta be?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0im getting an error for theta..

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1yes you'll find that b/a = 3/0 = undefined where is tangent undefined?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1I guess a better way to find theta is by plotting where 03i is located dw:1442705686511:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1what angle is this? dw:1442705720789:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1r = 3 and theta = 270, we now plug those values into \[\Large r\left[\cos(\theta)+i*\sin(\theta)\right]\]

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1dw:1442705859091:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.03(cos 270 + i sin 270) ?
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