If you're plotting a parametric equation, I recommend turning the grid off and the axes on.
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Axes
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Grid
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Parametric equation
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Rotation Point
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For some values of beta (in Rotation Point), graph flips upside down even if it doesn't look like it. No idea why. ¯\_(ツ)_/¯
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If you want to know which ways 'up'/'down', turn on axes
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นิพจน์ 84: "E" Subscript, "x" "p" , Baseline left parenthesis, "x" , "y" , right parenthesis equals left parenthesis, cos left parenthesis, "y" , right parenthesis , sin left parenthesis, "y" , right parenthesis , right parenthesis times "e" Superscript, "x" , BaselineExpx,y=cosy,siny·ex
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Returns z^w instead of what you might expect because reasons
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นิพจน์ 86: "P" Subscript, "o" "w" , Baseline left parenthesis, "w" , "z" , right parenthesis equals "E" Subscript, "x" "p" , Baseline left parenthesis, left parenthesis, "w" . "x" ln left parenthesis, StartRoot, "z" . "x" squared plus "z" . "y" squared , EndRoot , right parenthesis minus "w" . "y" times arctan left parenthesis, "z" . "y" , "z" . "x" , right parenthesis , right parenthesis , left parenthesis, "w" . "y" ln left parenthesis, StartRoot, "z" . "x" squared plus "z" . "y" squared , EndRoot , right parenthesis plus "w" . "x" times arctan left parenthesis, "z" . "y" , "z" . "x" , right parenthesis , right parenthesis , right parenthesisPoww,z=Expw.xlnz.x2+z.y2−w.y·arctanz.y,z.x,w.ylnz.x2+z.y2+w.x·arctanz.y,z.x