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In polar coordinates, I tried plotting r^2=8cos(2theta). Mathematica shows me that it's a leminiscate that crosses the origin at pi/2. Shouldn't pi/2 give 8cos(pi) which gives -8? I don't get it. Is it because of the r squared that gives imaginary values?
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Are you sure it's crossing the origin at pi/2? It looks like it's crossing the origin at pi/4.|dw:1379559734772:dw|
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