If you have a 2-D vector in polar coordinates (a magnitude R and an angle theta) you can convert it to Cartesian coordinates with the following equation:(adsbygoogle = window.adsbygoogle || []).push({});

[tex]x + yi = R e^{\theta i}[/tex]

Or from Cartesian to polar by:

[tex](R,\theta) =ln (x + yi) [/tex]

Why does this work? I just can't quite envision this. cosh and sinh have a similar relationship in that you could almost treat them as trig functions even though they're based on e.

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# Complex numbers and coordinates

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