Hidden Label: left parenthesis, 0 plus "r" Subscript, "L" , Baseline cos left parenthesis, StartFraction, 2 pi Over "P" Subscript, "L" , Baseline , EndFraction "a" minus StartFraction, pi Over 2 , EndFraction , right parenthesis plus "r" Subscript, "s" , Baseline cos left parenthesis, StartFraction, 2 pi Over "P" Subscript, "S" , Baseline , EndFraction "a" minus StartFraction, pi Over 2 , EndFraction , right parenthesis , "h" Subscript, "c" , Baseline plus "r" Subscript, "L" , Baseline sin left parenthesis, StartFraction, 2 pi Over "P" Subscript, "L" , Baseline , EndFraction "a" minus StartFraction, pi Over 2 , EndFraction , right parenthesis plus "r" Subscript, "s" , Baseline sin left parenthesis, StartFraction, 2 pi Over "P" Subscript, "S" , Baseline , EndFraction "a" minus StartFraction, pi Over 2 , EndFraction , right parenthesis , right parenthesis Has graph. To audio trace, press ALT+T.0+rLcos2πPLa−π2+rscos2πPSa−π2,hc+rLsin2πPLa−π2+rssin2πPSa−π2
Label
8
Expression 9: left parenthesis, 0 plus "r" Subscript, "L" , Baseline cos left parenthesis, StartFraction, 2 pi Over "P" Subscript, "L" , Baseline , EndFraction "a" minus StartFraction, pi Over 2 , EndFraction , right parenthesis plus "r" Subscript, "s" , Baseline cos left parenthesis, StartFraction, 2 pi Over "P" Subscript, "S" , Baseline , EndFraction "a" minus StartFraction, pi Over 2 , EndFraction , right parenthesis "t" , "h" Subscript, "c" , Baseline plus "r" Subscript, "L" , Baseline sin left parenthesis, StartFraction, 2 pi Over "P" Subscript, "L" , Baseline , EndFraction "a" minus StartFraction, pi Over 2 , EndFraction , right parenthesis plus "r" Subscript, "s" , Baseline sin left parenthesis, StartFraction, 2 pi Over "P" Subscript, "S" , Baseline , EndFraction "a" minus StartFraction, pi Over 2 , EndFraction , right parenthesis "t" , right parenthesis Has graph.0+rLcos2πPLa−π2+rscos2πPSa−π2t,hc+rLsin2πPLa−π2+rssin2πPSa−π2t
domain t Minimum: 00
less than or equal to "t" less than or equal to≤t≤
domain t Maximum: 11
9
Expression 10: "x" squared plus left parenthesis, "y" minus "h" Subscript, "c" , Baseline , right parenthesis squared equals "r" squared Has graph. To audio trace, press ALT+T.x2+y−hc2=r2L
10
Expression 11: left parenthesis, "x" minus "r" Subscript, "L" , Baseline cos left parenthesis, StartFraction, 2 pi Over "P" Subscript, "L" , Baseline , EndFraction "a" minus StartFraction, pi Over 2 , EndFraction , right parenthesis , right parenthesis squared plus left parenthesis, "y" minus left parenthesis, "h" Subscript, "c" , Baseline plus "r" Subscript, "L" , Baseline sin left parenthesis, StartFraction, 2 pi Over "P" Subscript, "L" , Baseline , EndFraction "a" minus StartFraction, pi Over 2 , EndFraction , right parenthesis , right parenthesis , right parenthesis squared equals "r" squared Has graph. To audio trace, press ALT+T.x−rLcos2πPLa−π22+y−hc+rLsin2πPLa−π22=r2s
11
Hidden Label: left parenthesis, 0 plus "r" Subscript, "L" , Baseline cos left parenthesis, StartFraction, 2 pi Over "P" Subscript, "L" , Baseline , EndFraction "a" minus StartFraction, pi Over 2 , EndFraction , right parenthesis plus "r" Subscript, "s" , Baseline cos left parenthesis, StartFraction, 2 pi Over "P" Subscript, "S" , Baseline , EndFraction "a" minus StartFraction, pi Over 2 , EndFraction , right parenthesis , "h" Subscript, "c" , Baseline plus "r" Subscript, "L" , Baseline sin left parenthesis, StartFraction, 2 pi Over "P" Subscript, "L" , Baseline , EndFraction "a" minus StartFraction, pi Over 2 , EndFraction , right parenthesis plus "r" Subscript, "s" , Baseline sin left parenthesis, StartFraction, 2 pi Over "P" Subscript, "S" , Baseline , EndFraction "a" minus StartFraction, pi Over 2 , EndFraction , right parenthesis , right parenthesis Has graph. To audio trace, press ALT+T.0+rLcos2πPLa−π2+rscos2πPSa−π2,hc+rLsin2πPLa−π2+rssin2πPSa−π2
Label
12
Hidden Label: left parenthesis, "r" Subscript, "L" , Baseline cos left parenthesis, StartFraction, 2 pi Over "P" Subscript, "L" , Baseline , EndFraction "a" minus StartFraction, pi Over 2 , EndFraction , right parenthesis , "h" Subscript, "c" , Baseline plus "r" Subscript, "L" , Baseline sin left parenthesis, StartFraction, 2 pi Over "P" Subscript, "L" , Baseline , EndFraction "a" minus StartFraction, pi Over 2 , EndFraction , right parenthesis , right parenthesis Has graph. To audio trace, press ALT+T.rLcos2πPLa−π2,hc+rLsin2πPLa−π2
Label
13
Expression 14: left parenthesis, 0 plus "r" Subscript, "L" , Baseline cos left parenthesis, StartFraction, 2 pi Over "P" Subscript, "L" , Baseline , EndFraction "a" minus StartFraction, pi Over 2 , EndFraction , right parenthesis "t" , "h" Subscript, "c" , Baseline plus "r" Subscript, "L" , Baseline sin left parenthesis, StartFraction, 2 pi Over "P" Subscript, "L" , Baseline , EndFraction "a" minus StartFraction, pi Over 2 , EndFraction , right parenthesis "t" , right parenthesis Has graph.0+rLcos2πPLa−π2t,hc+rLsin2πPLa−π2t
domain t Minimum: 00
less than or equal to "t" less than or equal to≤t≤
domain t Maximum: 11
14
Hidden Label: left parenthesis, 0 , "h" Subscript, "c" , Baseline , right parenthesis Has graph. To audio trace, press ALT+T.0,hc