Expression 9: 1 equals cosine left parenthesis, "q" , right parenthesis left parenthesis, "x" minus "p" Subscript, 11 , Baseline , right parenthesis plus sine left parenthesis, "q" , right parenthesis left parenthesis, "y" minus "p" Subscript, 12 , Baseline , right parenthesis plus tangent left parenthesis, "w" , right parenthesis left parenthesis, "z" minus "p" Subscript, 13 , Baseline , right parenthesis1=cosqx−p11+sinqy−p12+tanwz−p13
9
Expression 10: "w" equals 3.1 4w=3.14
StartFraction, pi Over 2 , EndFraction plus 0.0 0 1π2+0.001
StartFraction, 3 pi Over 2 , EndFraction minus 0.0 0 13π2−0.001
10
Expression 11: "q" equals 0.2 2 6q=0.226
negative pi−π
piπ
11
Expression 12: left parenthesis, "x" minus "p" Subscript, 11 , Baseline , right parenthesis squared plus left parenthesis, "y" minus "p" Subscript, 12 , Baseline , right parenthesis squared equals 1x−p112+y−p122=1
Extend to 3D
12
Expression 13: "h" equals StartFraction, 1 Over cos left parenthesis, "q" , right parenthesis left parenthesis, "p" Subscript, 21 , Baseline minus "p" Subscript, 11 , Baseline , right parenthesis plus sin left parenthesis, "q" , right parenthesis left parenthesis, "p" Subscript, 22 , Baseline minus "p" Subscript, 12 , Baseline , right parenthesis plus tan left parenthesis, "w" , right parenthesis left parenthesis, "p" Subscript, 23 , Baseline minus "p" Subscript, 13 , Baseline , right parenthesis , EndFractionh=1cosqp21−p11+sinqp22−p12+tanwp23−p13
equals=
0.1 9 4 7 8 7 8 6 4 3 6 40.194787864364
13
Expression 14: left parenthesis, "h" cos left parenthesis, "q" , right parenthesis left parenthesis, "p" Subscript, 21 , Baseline minus "p" Subscript, 11 , Baseline , right parenthesis plus "h" sin left parenthesis, "q" , right parenthesis left parenthesis, "p" Subscript, 22 , Baseline minus "p" Subscript, 12 , Baseline , right parenthesis minus 1 , "h" cos left parenthesis, "q" , right parenthesis left parenthesis, "p" Subscript, 22 , Baseline minus "p" Subscript, 12 , Baseline , right parenthesis minus "h" sin left parenthesis, "q" , right parenthesis left parenthesis, "p" Subscript, 21 , Baseline minus "p" Subscript, 11 , Baseline , right parenthesis , "p" Subscript, 13 , Baseline plus "h" left parenthesis, "p" Subscript, 23 , Baseline minus "p" Subscript, 13 , Baseline , right parenthesis , right parenthesishcosqp21−p11+hsinqp22−p12−1,hcosqp22−p12−hsinqp21−p11,p13+hp23−p13
Expression 16: left parenthesis, "p" Subscript, 11 , Baseline plus "t" left parenthesis, "p" Subscript, 21 , Baseline minus "p" Subscript, 11 , Baseline , right parenthesis , "p" Subscript, 12 , Baseline plus "t" left parenthesis, "p" Subscript, 22 , Baseline minus "p" Subscript, 12 , Baseline , right parenthesis , "p" Subscript, 13 , Baseline plus "t" left parenthesis, "p" Subscript, 23 , Baseline minus "p" Subscript, 13 , Baseline , right parenthesis , right parenthesisp11+tp21−p11,p12+tp22−p12,p13+tp23−p13
domain t Minimum: 00
less than or equal to "t" less than or equal to≤t≤
domain t Maximum: piπ
16
Expression 17: "m" equals "h" cosine left parenthesis, "q" , right parenthesis left parenthesis, "p" Subscript, 22 , Baseline minus "p" Subscript, 12 , Baseline , right parenthesis minus "h" sine left parenthesis, "q" , right parenthesis left parenthesis, "p" Subscript, 21 , Baseline minus "p" Subscript, 11 , Baseline , right parenthesism=hcosqp22−p12−hsinqp21−p11
