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where\1"heredenotestheconstantfunctionwithvalue1.Recallthecharacteriza - PDF document

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Uploaded On 2017-02-21

where\1"heredenotestheconstantfunctionwithvalue1.Recallthecharacteriza - PPT Presentation

o a h sinopposite hypotenuse cosadjacent hypotenuse tanopposite adjacent o h a h o a Werelatethetwointerpretationsasdepictedbelow o a sin cos 1 h 2 Thegraphoffscaledoutwards ID: 518139

 o a h sin()=opposite hypotenuse cos()=adjacent hypotenuse tan()=opposite adjacent =o h =a h =o a Werelatethetwointerpretationsasdepictedbelow.  o a sin() cos() 1 h 2 Thegraphoff scaledoutwards

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where\1"heredenotestheconstantfunctionwithvalue1.Recallthecharacterizationofthetrigonometricfunctionsintermsoftriangles.  o a h sin()=opposite hypotenuse cos()=adjacent hypotenuse tan()=opposite adjacent =o h =a h =o a Werelatethetwointerpretationsasdepictedbelow.  o a sin() cos() 1 h 2 Thegraphoff,scaledoutwardsbyA,correspondswiththegraphofAf. Af TodisplacethegraphoffbyA,horizontallyinthepositivedirection,itisnecessarytoprecomposewiththeshiftfunctionx�A. A A f(x�A) 4 AconsequenceofthisisthattheChainRule,df dx=df dgdg dx(ChainRule)resemblesfractionmultiplication.6

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