Question 1091485: Express the complex number in trigonometric form.
5 - 5i
Please show your work so I can understand! :) Found 2 solutions by Alan3354, josmiceli:Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website! Express the complex number in trigonometric form.
5 - 5i
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The magnitude is sqrt(5^2 + 5^2) = 5sqrt(2)
The angle is 315 degs
--> 5sqrt(2)cis(315)
or 5sqrt(2)*(cos(315 + isin(315))
You can put this solution on YOUR website! The unit vector has a component on the
positive real axis of .
It also has a component on the negative
imaginary axis of .
The resultant of these components is:
( note that you only care about absolute
values when finding this resultant )
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When the components are equal, then the
angle is 45 degrees. In this case, it is -45 degrees.
The answer is 5*sqrt(2) at -45 degrees
You could also call it 5*sqrt(2) at 315 degrees
