Expression 4: 4 "r" equals 4 "e" Superscript, sin left parenthesis, theta , right parenthesis , Baseline minus 5cosine ( 6 theta ) plus left parenthesis, sin left parenthesis, StartFraction, 2 theta minus pi Over 24 , EndFraction , right parenthesis , right parenthesis4r=4esinθ−5cos(6θ)+sin2θ−π24
00
domain \theta Minimum:
less than or equal to theta less than or equal to≤θ≤
domain \theta Maximum: 30 pi30π
4
Expression 5: "r" equals "e" Superscript, sin theta , Baseline minus cosine left parenthesis, tan 3 theta , right parenthesis plus left parenthesis, sin 2 left parenthesis, StartFraction, theta minus pi Over 24 , EndFraction , right parenthesis , right parenthesisr=esinθ−costan3θ+sin2θ−π24
00
domain \theta Minimum:
less than or equal to theta less than or equal to≤θ≤
domain \theta Maximum: 20 pi20π
5
Expression 6: StartFraction, "r" Over 2 , EndFraction equals "e" Superscript, sin 9 theta , Baseline minus 4cosine ( 6 theta ) plus left parenthesis, sin left parenthesis, StartFraction, theta minus 2 pi Over 48 , EndFraction , right parenthesis , right parenthesis plus 0.5cosine left parenthesis, sin theta plus StartFraction, pi Over 2 , EndFraction , right parenthesisr2=esin9θ−4cos(6θ)+sinθ−2π48+0.5cossinθ+π2
00
domain \theta Minimum:
less than or equal to theta less than or equal to≤θ≤
domain \theta Maximum: 20 pi20π
6
Expression 7: StartFraction, "r" Over 0.5 "t" , EndFraction equals "e" Superscript, sin squared 10 theta , Baseline minus cosine squared left parenthesis, 12 theta , right parenthesis plus left parenthesis, sin left parenthesis, StartFraction, theta minus 2 pi Over 10 , EndFraction , right parenthesis , right parenthesisr0.5t=esin210θ−cos212θ+sinθ−2π10
00
domain \theta Minimum:
less than or equal to theta less than or equal to≤θ≤