Itel
Express the complex number in trigonometric form.
-4
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frx
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So, do you know how to find the the angle?
frx
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Try to think of the unitcircle
frx
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-4 is simply just a scaled-up -1 so that means that the angle is what?
Itel
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180 degrees?
Itel
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@frx
frx
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Exactly
frx
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Or pi since you're looking for the polarform
Itel
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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
frx
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\[|z|=\sqrt{4^{2}}=4\]
\[\arg(z)= \pi \]
\[4(\cos \pi+isin \pi)\]
frx
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So since your alternatives are in degrees and not radians you know it's 180 degrees.
frx
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So it's the last one of your options
Itel
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Oh i see what you did. Thank you so much man. I really appreciate your help. Very thorough explanation.
frx
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No problem :)
frx
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