SOLUTION: Express the complex number in trigonometric form. 5 - 5i Please show your work so I can understand! :)

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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
------------
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))

Answer by josmiceli(19441)   (Show Source): 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 )
--------------------------------------
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

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