Expression 3: "r" equals StartFraction, left parenthesis, "P" . "x" plus tan left parenthesis, theta , right parenthesis "P" . "y" , right parenthesis plus sgn left parenthesis, cos left parenthesis, theta , right parenthesis , right parenthesis StartRoot, left parenthesis, "P" . "x" plus tan left parenthesis, theta , right parenthesis "P" . "y" , right parenthesis squared minus left parenthesis, 1 plus tan left parenthesis, theta , right parenthesis squared , right parenthesis left parenthesis, StartAbsoluteValue, "P" , EndAbsoluteValue squared minus "r" squared , right parenthesis , EndRoot Over left parenthesis, 1 plus tan left parenthesis, theta , right parenthesis squared , right parenthesis cos left parenthesis, theta , right parenthesis , EndFractionr=P.x+tanθP.y+sgncosθP.x+tanθP.y2−1+tanθ2P2−r201+tanθ2cosθ
00
domain \theta Minimum:
less than or equal to theta less than or equal to≤θ≤
12 pi12π
domain \theta Maximum:
3
Expression 4: left parenthesis, "x" minus "P" . "x" , right parenthesis squared plus left parenthesis, "y" minus "P" . "y" , right parenthesis squared equals "r" squaredx−P.x2+y−P.y2=r20