Expression 8: "A" Subscript, 2 , Baseline left parenthesis, theta , right parenthesis equals 1 half "c" cosine thetaA2θ=12ccosθ
8
Expression 9: "r" less than or equal to 1r≤1
00
domain \theta Minimum:
less than or equal to theta less than or equal to≤θ≤
domain \theta Maximum: alphaα
9
Expression 10: "A" Subscript, 3 , Baseline left parenthesis, theta , right parenthesis equals StartFraction, theta Over 2 , EndFractionA3θ=θ2
10
Expression 11: "y" less than or equal to StartRoot, 1 minus "x" squared , EndRoot left brace, 0 less than or equal to "y" less than or equal to "c" , right brace left brace, "x" greater than or equal to 0 , right bracey≤1−x20≤y≤cx≥0
11
Expression 12: Start integral from 0 to "c" , end integral, StartRoot, 1 minus "y" squared , EndRoot "d" "y"∫c01−y2dy
equals=
0.4 3 4 3 1 4 0 9 4 3 9 30.434314094393
12
Expression 13: "A" Subscript, 4 , Baseline equals 1 half left parenthesis, sin to the negative 1st power "c" plus "c" StartRoot, 1 minus "c" squared , EndRoot , right parenthesisA4=12sin−1c+c1−c2
equals=
0.4 3 4 3 1 4 0 9 4 3 9 30.434314094393
13
Expression 14: "A" Subscript, 1 , Baseline left parenthesis, alpha , right parenthesis minus "A" Subscript, 2 , Baseline left parenthesis, alpha , right parenthesis tilde "A" Subscript, 3 , Baseline left parenthesis, alpha , right parenthesis plus "A" Subscript, 2 , Baseline left parenthesis, alpha , right parenthesis minus "A" Subscript, 4 , BaselineA1α−A2α~A3α+A2α−A4
14
Expression 15: "m" equals StartFraction, sin alpha minus "c" Over cos alpha , EndFractionm=sinα−ccosα
