Expression 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 bracer=ecosθ−a−2cos4θ−a+sinθ−a1250≤θ≤b
00
domain \theta Minimum:
less than or equal to theta less than or equal to≤θ≤
36.836.8
domain \theta Maximum:
9
The horizontal position
10
Expression 11: "C" left parenthesis, "x" , right parenthesis equals "B" left parenthesis, "x" , right parenthesis cosine left parenthesis, "x" , right parenthesisCx=Bxcosx
11
The vertical position
12
Expression 13: "S" left parenthesis, "x" , right parenthesis equals "B" left parenthesis, "x" , right parenthesis sine left parenthesis, "x" , right parenthesisSx=Bxsinx
13
Plotting the point
14
Hidden Label: 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 parenthesisBbcosb,Bbsinb
Drawing a line from the origin to point on the curve.
16
Expression 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 braceSbCbx0≤x≤Cb
17
Expression 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 braceSbCbxCb≤x≤0