Expression 12: "x" squared positive "y" squared equals "r" squared Has graph. To audio trace, press ALT+T.x2+y2=r2
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Hidden Label: left parenthesis, "r" times cos left parenthesis, "a" , right parenthesis , "r" times sin left parenthesis, "a" , right parenthesis , right parenthesis equals left parenthesis, 6 , 0 , right parenthesis Has graph. To audio trace, press ALT+T.r·cosa,r·sina
Label
equals=
left parenthesis, 6 , 0 , right parenthesis6,0
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Hidden Label: left parenthesis, "r" times cos left parenthesis, "b" , right parenthesis , "r" times sin left parenthesis, "b" , right parenthesis , right parenthesisr·cosb,r·sinb
Hidden Label: left parenthesis, "r" times cos left parenthesis, "c" , right parenthesis , "r" times sin left parenthesis, "c" , right parenthesis , right parenthesisr·cosc,r·sinc
Expression 16: "y" negative "r" times sine left parenthesis, "a" , right parenthesis equals StartFraction, "r" times sin left parenthesis, "a" , right parenthesis Over "r" times cos left parenthesis, "a" , right parenthesis , EndFraction left parenthesis, "x" negative "r" times cos left parenthesis, "a" , right parenthesis , right parenthesis left brace, 0 less than or equal to "x" less than or equal to "r" times cos left parenthesis, "a" , right parenthesis , right bracey−r·sina=r·sinar·cosax−r·cosa0≤x≤r·cosa
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Expression 17: "y" negative "r" times sine left parenthesis, "a" , right parenthesis equals StartFraction, "r" times sin left parenthesis, "a" , right parenthesis Over "r" times cos left parenthesis, "a" , right parenthesis , EndFraction left parenthesis, "x" negative "r" times cos left parenthesis, "a" , right parenthesis , right parenthesis left brace, 0 greater than or equal to "x" greater than or equal to "r" times cos left parenthesis, "a" , right parenthesis , right bracey−r·sina=r·sinar·cosax−r·cosa0≥x≥r·cosa
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Expression 18: "y" negative "r" times sine left parenthesis, "b" , right parenthesis equals StartFraction, "r" times sin left parenthesis, "b" , right parenthesis Over "r" times cos left parenthesis, "b" , right parenthesis , EndFraction left parenthesis, "x" negative "r" times cos left parenthesis, "b" , right parenthesis , right parenthesis left brace, 0 less than or equal to "x" less than or equal to "r" times cos left parenthesis, "b" , right parenthesis , right bracey−r·sinb=r·sinbr·cosbx−r·cosb0≤x≤r·cosb
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Expression 19: "y" negative "r" times sine left parenthesis, "b" , right parenthesis equals StartFraction, "r" times sin left parenthesis, "b" , right parenthesis Over "r" times cos left parenthesis, "b" , right parenthesis , EndFraction left parenthesis, "x" negative "r" times cos left parenthesis, "b" , right parenthesis , right parenthesis left brace, 0 greater than or equal to "x" greater than or equal to "r" times cos left parenthesis, "b" , right parenthesis , right bracey−r·sinb=r·sinbr·cosbx−r·cosb0≥x≥r·cosb
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Expression 20: "y" negative "r" times sine left parenthesis, "a" , right parenthesis equals StartFraction, left parenthesis, "r" times sin left parenthesis, "c" , right parenthesis negative "r" times sin left parenthesis, "a" , right parenthesis , right parenthesis Over "r" times cos left parenthesis, "c" , right parenthesis negative "r" times cos left parenthesis, "a" , right parenthesis , EndFraction left parenthesis, "x" negative "r" times cos left parenthesis, "a" , right parenthesis , right parenthesis left brace, "r" times cos left parenthesis, "c" , right parenthesis less than or equal to "x" less than or equal to "r" times cos left parenthesis, "a" , right parenthesis , right bracey−r·sina=r·sinc−r·sinar·cosc−r·cosax−r·cosar·cosc≤x≤r·cosa
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Expression 21: "y" negative "r" times sine left parenthesis, "b" , right parenthesis equals StartFraction, left parenthesis, "r" times sin left parenthesis, "c" , right parenthesis negative "r" times sin left parenthesis, "b" , right parenthesis , right parenthesis Over "r" times cos left parenthesis, "c" , right parenthesis negative "r" times cos left parenthesis, "b" , right parenthesis , EndFraction left parenthesis, "x" negative "r" times cos left parenthesis, "b" , right parenthesis , right parenthesis left brace, "r" times cos left parenthesis, "c" , right parenthesis less than or equal to "x" less than or equal to "r" times cos left parenthesis, "b" , right parenthesis , right bracey−r·sinb=r·sinc−r·sinbr·cosc−r·cosbx−r·cosbr·cosc≤x≤r·cosb
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Expression 22: "y" negative "r" times sine left parenthesis, "a" , right parenthesis equals StartFraction, left parenthesis, "r" times sin left parenthesis, "c" , right parenthesis negative "r" times sin left parenthesis, "a" , right parenthesis , right parenthesis Over "r" times cos left parenthesis, "c" , right parenthesis negative "r" times cos left parenthesis, "a" , right parenthesis , EndFraction left parenthesis, "x" negative "r" times cos left parenthesis, "a" , right parenthesis , right parenthesis left brace, "r" times cos left parenthesis, "c" , right parenthesis greater than or equal to "x" greater than or equal to "r" times cos left parenthesis, "a" , right parenthesis , right bracey−r·sina=r·sinc−r·sinar·cosc−r·cosax−r·cosar·cosc≥x≥r·cosa
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Expression 23: "y" negative "r" times sine left parenthesis, "b" , right parenthesis equals StartFraction, left parenthesis, "r" times sin left parenthesis, "c" , right parenthesis negative "r" times sin left parenthesis, "b" , right parenthesis , right parenthesis Over "r" times cos left parenthesis, "c" , right parenthesis negative "r" times cos left parenthesis, "b" , right parenthesis , EndFraction left parenthesis, "x" negative "r" times cos left parenthesis, "b" , right parenthesis , right parenthesis left brace, "r" times cos left parenthesis, "c" , right parenthesis greater than or equal to "x" greater than or equal to "r" times cos left parenthesis, "b" , right parenthesis , right bracey−r·sinb=r·sinc−r·sinbr·cosc−r·cosbx−r·cosbr·cosc≥x≥r·cosb
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Expression 24: "O" equals 2 times arc sine left parenthesis, StartFraction, left parenthesis, StartRoot, left parenthesis, "r" times cos left parenthesis, "a" , right parenthesis negative "r" times cos left parenthesis, "b" , right parenthesis , right parenthesis squared positive left parenthesis, "r" times sin left parenthesis, "a" , right parenthesis negative "r" times sin left parenthesis, "b" , right parenthesis , right parenthesis squared , EndRoot , right parenthesis Over 2 "r" , EndFraction , right parenthesis times StartFraction, 180 Over pi , EndFractionO=2·arcsinr·cosa−r·cosb2+r·sina−r·sinb22r·180π