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Polar form

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Polar form for complex numbers

The polar form for complex numbers allows us to graph complex numbers given an angle \theta and a radius or magnitude r.

For z\in\mathbb{C}, we can write z=r\cdot\mathrm{cis }(\theta)=r(\cos \theta+i\sin\theta). (See cis if you do not understand this notation.) This represents a complex number z that is r units away from the origin, and \theta radians counterclockwise from the positive half of the x-axis.

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