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anonymous
 one year ago
Express the complex number in trigonometric form.
2 + 2square root of threei
anonymous
 one year ago
Express the complex number in trigonometric form. 2 + 2square root of threei

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amistre64
 one year ago
Best ResponseYou've already chosen the best response.1what 2 things do we need to determine for the trig form?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0the absolute value? @amistre64

amistre64
 one year ago
Best ResponseYou've already chosen the best response.1hmm, i was thinking a radius and an angle

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0oh sorry, I have no idea how to do this

amistre64
 one year ago
Best ResponseYou've already chosen the best response.1spose we plot some point (x,y) define as some complex number: x + iy dw:1440473957824:dw we can then determine the distance from the origin, and the angle the ray makes with the x axis

amistre64
 one year ago
Best ResponseYou've already chosen the best response.1r = sqrt(x^2+y^2) a = tan^(1) (y/x)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0okay so I plug the numbers into that formula?

amistre64
 one year ago
Best ResponseYou've already chosen the best response.1what else would you do with a formula? trig defines x = r cos(a) and y=r sin(a) therefore our trig form of a complex number is: x + iy to r cos(a) + r i sin(a) or simplified to: r (cos(a) + i sin(a))

anonymous
 one year ago
Best ResponseYou've already chosen the best response.04(cos5pi/6+isin5pi/6)?

amistre64
 one year ago
Best ResponseYou've already chosen the best response.1\[\Large \underbrace{2}_x+i~\underbrace{2\sqrt3}_y\] \[r=\sqrt{x^2+y^2}=\sqrt{4+12}=4~;~is~fine\] \[\alpha=tan^{1}(\frac{1}{\sqrt3})=30^o~(Q2)\]

amistre64
 one year ago
Best ResponseYou've already chosen the best response.1yeah, looks good to me in my head lol

amistre64
 one year ago
Best ResponseYou've already chosen the best response.1dw:1440474530757:dw
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