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Mathematics 7 Online
Parth (parthkohli):

@DLS

OpenStudy (dls):

arre aagayaa

OpenStudy (dls):

message nahi ja raha tha :/

OpenStudy (dls):

\[\LARGE \cos( \frac{-\pi}{2})+ \sin (\frac{-\pi}{2})\]

OpenStudy (dls):

cos(-x)=cosx

Parth (parthkohli):

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 \(\arctan \left(\dfrac{b}{a}\right)\).

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

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)

Parth (parthkohli):

I just chose a \(\theta\) such that \(\cos \theta = 0\) and \(\sin\theta = -1\).

Parth (parthkohli):

Sab theek?

OpenStudy (dls):

yeah,gotcha

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