Expression 4: left parenthesis, "r" cos "t" , "r" sin "t" , right parenthesis Has graph.rcost,rsint
domain t Minimum: 00
less than or equal to "t" less than or equal to≤t≤
domain t Maximum: tauτ
4
Expression 5: left parenthesis, left brace, 0 less than or equal to "t" less than or equal to "n" , right brace left parenthesis, "R" minus "r" , right parenthesis sin StartFraction, "t" "R" Over "r" , EndFraction plus "R" sin StartFraction, "t" "r" minus "t" "R" Over "r" , EndFraction , left parenthesis, "r" minus "R" , right parenthesis cos StartFraction, "t" "R" Over "r" , EndFraction plus "R" cos StartFraction, "t" "r" minus "t" "R" Over "r" , EndFraction , right parenthesis Has graph.0≤t≤nR−rsintRr+Rsintr−tRr,r−RcostRr+Rcostr−tRr
domain t Minimum: 00
less than or equal to "t" less than or equal to≤t≤
domain t Maximum: 100 tau100τ
5
Expression 6: left parenthesis, "x" minus left parenthesis, "R" minus "r" , right parenthesis sin StartFraction, "n" "R" Over "r" , EndFraction , right parenthesis squared plus left parenthesis, "y" minus left parenthesis, "r" minus "R" , right parenthesis cos StartFraction, "n" "R" Over "r" , EndFraction , right parenthesis squared equals "R" squared Has graph. To audio trace, press ALT+T.x−R−rsinnRr2+y−r−RcosnRr2=R2
6
Hidden Label: left parenthesis, left parenthesis, "R" minus "r" , right parenthesis sin StartFraction, "n" "R" Over "r" , EndFraction plus "R" sin StartFraction, "n" "r" minus "n" "R" Over "r" , EndFraction , left parenthesis, "r" minus "R" , right parenthesis cos StartFraction, "n" "R" Over "r" , EndFraction plus "R" cos StartFraction, "n" "r" minus "n" "R" Over "r" , EndFraction , right parenthesisR−rsinnRr+Rsinnr−nRr,r−RcosnRr+Rcosnr−nRr