Thursday, February 16, 2012

What are the coordinates of the complex number -i when we plot it in the complex plane?

What are the coordinates of the complex number -i when we plot it in the complex plane?What are the coordinates of the complex number -i when we plot it in the complex plane?This is 0 - i, so it's the same as a+bi when a=0 and b=-1. So it's plotted at (0,-1).What are the coordinates of the complex number -i when we plot it in the complex plane?(0, -1)What are the coordinates of the complex number -i when we plot it in the complex plane?(0,-1)What are the coordinates of the complex number -i when we plot it in the complex plane?
You can start out by using the Euler identity which turns out to be very helpful most of the time.



cos(x) + isin(x) = e^(ix)

cos(-pi/2) + isin(-pi/2) = e^(-ipi/2)

0 - i = e^(-pi/2)



This is going clockwise so its coordinates are at (0, - 1)

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