You have \(a + bi\) and the polar form as \(r(\cos\theta + i\sin\theta)\).
First find \(|a + bi|\) which is \(r\). Then express the complex number as \(r\left(\dfrac{a}{r} + \dfrac{bi}{r}\right)\). Then you can find \(\theta\) which is \(\arctan \left(\dfrac{b}{a}\right)\).
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Parth (parthkohli):
:-O
0 in the denominator
Parth (parthkohli):
I got that answer by hit and trial. :-\
OpenStudy (dls):
maine sahi to kiya anyway
Parth (parthkohli):
BTW, your answer must not be in the form \(r(\cos \theta - i\sin \theta)\)
OpenStudy (dls):
-pi 2 ya 3pi/2
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Parth (parthkohli):
If they want \(0 \le \theta \le 2\pi\) then 3pi/2.
OpenStudy (dls):
they didnt ask anything likethat
OpenStudy (dls):
both are correct right?
Parth (parthkohli):
Then write \(\dfrac{3\pi}{2}\). Negatives are commonly not done in polar forms. :-\
OpenStudy (dls):
(Y)
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Parth (parthkohli):
I just chose a \(\theta\) such that \(\cos \theta = 0\) and \(\sin\theta = -1\).