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Mathematics 16 Online
OpenStudy (anonymous):

Express the complex number in trigonometric form. -3i

jimthompson5910 (jim_thompson5910):

How far did you get?

OpenStudy (anonymous):

i just dont know how to find the degree

jimthompson5910 (jim_thompson5910):

Draw a blank xy axis |dw:1404685798185:dw|

OpenStudy (anonymous):

3(cos x° + i sin x°)

OpenStudy (anonymous):

i dont know how to find x

OpenStudy (anonymous):

ok

jimthompson5910 (jim_thompson5910):

the complex number -3i is really 0 + (-3i) = 0 + (-3)i this is in the form a+bi where a = 0, b = -3 complex numbers a+bi can be plotted on an xy axis in the form of the point (a,b)

jimthompson5910 (jim_thompson5910):

So we plot (0, -3) |dw:1404685887598:dw|

OpenStudy (anonymous):

would that be 270?

jimthompson5910 (jim_thompson5910):

Then you need to find the angle that starts at the positive x axis and it stops when the ray points in the direction of the point (0,-3) |dw:1404685930454:dw| yes it's 270 degrees

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