anonymous
  • anonymous
Express the complex number in trigonometric form. -4
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
So, do you know how to find the the angle?
anonymous
  • anonymous
Try to think of the unitcircle
anonymous
  • anonymous
-4 is simply just a scaled-up -1 so that means that the angle is what?

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anonymous
  • anonymous
180 degrees?
anonymous
  • anonymous
anonymous
  • anonymous
Exactly
anonymous
  • anonymous
Or pi since you're looking for the polarform
anonymous
  • anonymous
Thanks. These are the possible answers: 4(cos 270° + i sin 270°) 4(cos 90° + i sin 90°) 4(cos 0° + i sin 0°) 4(cos 180° + i sin 180°) So how do I find out which one of those is the answer if it is pi or 180 degrees? thanks again
anonymous
  • anonymous
\[|z|=\sqrt{4^{2}}=4\] \[\arg(z)= \pi \] \[4(\cos \pi+isin \pi)\]
anonymous
  • anonymous
So since your alternatives are in degrees and not radians you know it's 180 degrees.
anonymous
  • anonymous
So it's the last one of your options
anonymous
  • anonymous
Oh i see what you did. Thank you so much man. I really appreciate your help. Very thorough explanation.
anonymous
  • anonymous
No problem :)
anonymous
  • anonymous
If you have any questions just send a pm

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