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Algebra

Scorching goIITian

Joined:	27 Sep 2007
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17 Jul 2009 14:16:57 IST

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498

express in polar form:

None

express in polar form:

z= -1 -i

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Anshul Jangalwa

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17 Jul 2009 14:30:34 IST

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pls. answer this simple ques, fast..............

®µD®A

Blazing goIITian

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17 Jul 2009 16:47:54 IST

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$r=sqrt{x^2+y^2}=2$

Let

arg z

Now lies in IIIrd quadrant..

$\arg z=\theta=-\pi+\frac\pi{3}$

$z=re^{i heta}$

$z=2\left(\cos\left(-\pi+\frac\pi{3}\right)+i\sin\left(-\pi+\frac\pi{3}\right)\right)=2\left(\cos\left(-\frac{2\pi}{3}\right)+i\sin\left(-\frac{2\pi}{3}\right)\right)=2\left(\cos\left(\frac{2\pi}{3}\right)-i\sin\left(\frac{2\pi}{3}\right)\right)$

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