Expression 7: "r" equals cosine left parenthesis, theta , right parenthesis "P" . "x" plus sine left parenthesis, theta , right parenthesis "P" . "y" plus StartRoot, left parenthesis, cos left parenthesis, theta , right parenthesis left parenthesis, "P" . "x" plus tan left parenthesis, theta , right parenthesis "P" . "y" , right parenthesis , right parenthesis squared minus 1 left parenthesis, "P" . "x" squared plus "P" . "y" squared minus "r" squared , right parenthesis , EndRootr=cosθP.x+sinθP.y+cosθP.x+tanθP.y2−1P.x2+P.y2−r20
00
domain \theta Minimum:
less than or equal to theta less than or equal to≤θ≤
2 pi2π
domain \theta Maximum:
7
Expression 8: "r" equals cosine left parenthesis, theta , right parenthesis "P" . "x" plus sine left parenthesis, theta , right parenthesis "P" . "y" plus StartRoot, left parenthesis, cos left parenthesis, theta , right parenthesis "P" . "x" plus cos left parenthesis, theta , right parenthesis tan left parenthesis, theta , right parenthesis "P" . "y" , right parenthesis squared minus "P" . "x" squared minus "P" . "y" squared plus "r" squared , EndRootr=cosθP.x+sinθP.y+cosθP.x+cosθtanθP.y2−P.x2−P.y2+r20
00
domain \theta Minimum:
less than or equal to theta less than or equal to≤θ≤
2 pi2π
domain \theta Maximum:
8
Expression 9: "r" equals cosine left parenthesis, theta , right parenthesis "P" . "x" plus sine left parenthesis, theta , right parenthesis "P" . "y" plus StartRoot, left parenthesis, cos left parenthesis, theta , right parenthesis "P" . "x" plus sin left parenthesis, theta , right parenthesis "P" . "y" , right parenthesis squared minus "P" . "x" squared minus "P" . "y" squared plus "r" squared , EndRootr=cosθP.x+sinθP.y+cosθP.x+sinθP.y2−P.x2−P.y2+r20
00
domain \theta Minimum:
less than or equal to theta less than or equal to≤θ≤
2 pi2π
domain \theta Maximum:
9
Expression 10: "r" equals cosine left parenthesis, theta , right parenthesis "P" . "x" plus sine left parenthesis, theta , right parenthesis "P" . "y" plus StartRoot, cos squared left parenthesis, theta , right parenthesis "P" . "x" squared plus sin squared left parenthesis, theta , right parenthesis "P" . "y" squared plus 2cos left parenthesis, theta , right parenthesis "P" . "x" sin left parenthesis, theta , right parenthesis "P" . "y" minus "P" . "x" squared minus "P" . "y" squared plus "r" squared , EndRootr=cosθP.x+sinθP.y+cos2θP.x2+sin2θP.y2+2cosθP.xsinθP.y−P.x2−P.y2+r20
00
domain \theta Minimum:
less than or equal to theta less than or equal to≤θ≤
2 pi2π
domain \theta Maximum:
10
Expression 11: "r" equals cosine left parenthesis, theta , right parenthesis "P" . "x" plus sine left parenthesis, theta , right parenthesis "P" . "y" plus StartRoot, left parenthesis, cos squared left parenthesis, theta , right parenthesis minus 1 , right parenthesis "P" . "x" squared plus left parenthesis, sin squared left parenthesis, theta , right parenthesis minus 1 , right parenthesis "P" . "y" squared plus 2cos left parenthesis, theta , right parenthesis "P" . "x" sin left parenthesis, theta , right parenthesis "P" . "y" plus "r" squared , EndRootr=cosθP.x+sinθP.y+cos2θ−1P.x2+sin2θ−1P.y2+2cosθP.xsinθP.y+r20
00
domain \theta Minimum:
less than or equal to theta less than or equal to≤θ≤
2 pi2π
domain \theta Maximum:
11
Expression 12: "r" equals cosine left parenthesis, theta , right parenthesis "P" . "x" plus sine left parenthesis, theta , right parenthesis "P" . "y" plus StartRoot, left parenthesis, negative sin squared left parenthesis, theta , right parenthesis , right parenthesis "P" . "x" squared plus left parenthesis, negative cos squared left parenthesis, theta , right parenthesis , right parenthesis "P" . "y" squared plus 2cos left parenthesis, theta , right parenthesis "P" . "x" sin left parenthesis, theta , right parenthesis "P" . "y" plus "r" squared , EndRootr=cosθP.x+sinθP.y+−sin2θP.x2+−cos2θP.y2+2cosθP.xsinθP.y+r20
00
domain \theta Minimum:
less than or equal to theta less than or equal to≤θ≤
2 pi2π
domain \theta Maximum:
12
Expression 13: "r" equals cosine left parenthesis, theta , right parenthesis "P" . "x" plus sine left parenthesis, theta , right parenthesis "P" . "y" plus StartRoot, "r" squared minus left parenthesis, sin squared left parenthesis, theta , right parenthesis "P" . "x" squared plus cos squared left parenthesis, theta , right parenthesis "P" . "y" squared minus 2cos left parenthesis, theta , right parenthesis "P" . "x" sin left parenthesis, theta , right parenthesis "P" . "y" , right parenthesis , EndRootr=cosθP.x+sinθP.y+r20−sin2θP.x2+cos2θP.y2−2cosθP.xsinθP.y
00
domain \theta Minimum:
less than or equal to theta less than or equal to≤θ≤
2 pi2π
domain \theta Maximum:
13
Expression 14: "r" equals cosine left parenthesis, theta , right parenthesis "P" . "x" plus sine left parenthesis, theta , right parenthesis "P" . "y" plus StartRoot, "r" squared minus left parenthesis, sin left parenthesis, theta , right parenthesis "P" . "x" minus cos left parenthesis, theta , right parenthesis "P" . "y" , right parenthesis squared , EndRootr=cosθP.x+sinθP.y+r20−sinθP.x−cosθP.y2
00
domain \theta Minimum:
less than or equal to theta less than or equal to≤θ≤