Expression 12: "y" equals tangent left parenthesis, "a" Subscript, 1 , Baseline , right parenthesis "x" left brace, "m" Subscript, 1 , Baseline cos left parenthesis, "a" Subscript, 1 , Baseline , right parenthesis less than or equal to "x" less than or equal to 0 , right brace Has graph. To audio trace, press ALT+T.y=tana1xm1cosa1≤x≤0
Expression 18: "y" equals tangent left parenthesis, "a" Subscript, 2 , Baseline , right parenthesis "x" left brace, "m" Subscript, 2 , Baseline cos left parenthesis, "a" Subscript, 2 , Baseline , right parenthesis greater than or equal to "x" greater than or equal to 0 , right brace Has graph.y=tana2xm2cosa2≥x≥0
18
Expression 19: "y" equals tangent left parenthesis, "a" Subscript, 2 , Baseline , right parenthesis "x" left brace, "m" Subscript, 2 , Baseline cos left parenthesis, "a" Subscript, 2 , Baseline , right parenthesis less than or equal to "x" less than or equal to 0 , right brace Has graph. To audio trace, press ALT+T.y=tana2xm2cosa2≤x≤0
19
Expression 20: "m" Subscript, 3 , Baseline equals StartRoot, left parenthesis, left parenthesis, "m" Subscript, 1 , Baseline cos left parenthesis, "a" Subscript, 1 , Baseline , right parenthesis plus "m" Subscript, 2 , Baseline cos left parenthesis, "a" Subscript, 2 , Baseline , right parenthesis , right parenthesis squared plus left parenthesis, "m" Subscript, 1 , Baseline sin left parenthesis, "a" Subscript, 1 , Baseline , right parenthesis plus "m" Subscript, 2 , Baseline sin left parenthesis, "a" Subscript, 2 , Baseline , right parenthesis , right parenthesis squared , right parenthesis , EndRoot equals 6.7 1 2 5 7 2 2 3 2 6 1m3=m1cosa1+m2cosa22+m1sina1+m2sina22
equals=
6.7 1 2 5 7 2 2 3 2 6 16.71257223261
20
Expression 21: "a" Subscript, 3 , Baseline equals arc tangent left parenthesis, StartFraction, left parenthesis, "m" Subscript, 1 , Baseline sin left parenthesis, "a" Subscript, 1 , Baseline , right parenthesis plus "m" Subscript, 2 , Baseline sin left parenthesis, "a" Subscript, 2 , Baseline , right parenthesis , right parenthesis Over left parenthesis, "m" Subscript, 1 , Baseline cos left parenthesis, "a" Subscript, 1 , Baseline , right parenthesis plus "m" Subscript, 2 , Baseline cos left parenthesis, "a" Subscript, 2 , Baseline , right parenthesis , right parenthesis , EndFraction , right parenthesis equals 0a3=arctanm1sina1+m2sina2m1cosa1+m2cosa2
equals=
00
21
Hidden Label: left parenthesis, "m" Subscript, 3 , Baseline cos left parenthesis, "a" Subscript, 3 , Baseline , right parenthesis , "m" Subscript, 3 , Baseline sin left parenthesis, "a" Subscript, 3 , Baseline , right parenthesis , right parenthesis equals left parenthesis, 6.7 1 2 5 7 2 2 3 2 6 1 , 0 , right parenthesis Has graph. To audio trace, press ALT+T.m3cosa3,m3sina3
Label
equals=
left parenthesis, 6.7 1 2 5 7 2 2 3 , 0 , right parenthesis6.71257223,0
22
Expression 23: "y" equals tangent left parenthesis, "a" Subscript, 3 , Baseline , right parenthesis "x" left brace, "m" Subscript, 3 , Baseline cos left parenthesis, "a" Subscript, 3 , Baseline , right parenthesis greater than or equal to "x" greater than or equal to 0 , right brace Has graph. To audio trace, press ALT+T.y=tana3xm3cosa3≥x≥0
23
Expression 24: "y" equals tangent left parenthesis, "a" Subscript, 3 , Baseline , right parenthesis "x" left brace, "m" Subscript, 3 , Baseline cos left parenthesis, "a" Subscript, 3 , Baseline , right parenthesis less than or equal to "x" less than or equal to 0 , right brace Has graph.y=tana3xm3cosa3≤x≤0
