Polar + Butterfly = Polarfly

Espressione 9: "r" equals "e" Superscript, cos left parenthesis, theta minus "a" , right parenthesis , Baseline minus 2cosine left parenthesis, 4 left parenthesis, theta minus "a" , right parenthesis , right parenthesis plus left parenthesis, sin left parenthesis, StartFraction, left parenthesis, theta minus "a" , right parenthesis Over 12 , EndFraction , right parenthesis , right parenthesis to the 5th power left brace, 0 less than or equal to theta less than or equal to "b" , right brace

The horizontal position

Espressione 11: "C" left parenthesis, "x" , right parenthesis equals "B" left parenthesis, "x" , right parenthesis cosine left parenthesis, "x" , right parenthesis

The vertical position

Espressione 13: "S" left parenthesis, "x" , right parenthesis equals "B" left parenthesis, "x" , right parenthesis sine left parenthesis, "x" , right parenthesis

Plotting the point

Espressione 15: left parenthesis, "B" left parenthesis, "b" , right parenthesis cos left parenthesis, "b" , right parenthesis , "B" left parenthesis, "b" , right parenthesis sin left parenthesis, "b" , right parenthesis , right parenthesis

Drawing a line from the origin to point on the curve.

Espressione 17: StartFraction, "S" left parenthesis, "b" , right parenthesis Over "C" left parenthesis, "b" , right parenthesis , EndFraction "x" left brace, 0 less than or equal to "x" less than or equal to "C" left parenthesis, "b" , right parenthesis , right brace

Espressione 18: StartFraction, "S" left parenthesis, "b" , right parenthesis Over "C" left parenthesis, "b" , right parenthesis , EndFraction "x" left brace, "C" left parenthesis, "b" , right parenthesis less than or equal to "x" less than or equal to 0 , right brace

offerto da