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Download - 9.5 The Sine and Cosine Ratios - WordPress.com · 2018. 4. 9. · a triangle in order to use the sine ratio and what you must know about a triangle in order to use the cosine ratio.

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Page 1: 9.5 The Sine and Cosine Ratios - WordPress.com · 2018. 4. 9. · a triangle in order to use the sine ratio and what you must know about a triangle in order to use the cosine ratio.

9.5TheSineandCosineRatiosSineandCosineareverysimilartothatofTangent,exceptforoneimportantdifference.WhileTangentinvolvesthelengthsofbothlegsofarighttriangle,SineandCosinearetrigonometricratiosforacuteanglesthatinvolvethelengthsofalegandthehypotenuseofarighttriangle.Example1:FindingSineandCosineRatiosFindsin $ , sin & , cos $ , cos &.Writeeachanswerasafractionandasadecimalroundedtofourplaces.Doyouseeanypatterns?Example2:RewritingTrigonometricExpressionsWritesin 56+intermsofcosine

Page 2: 9.5 The Sine and Cosine Ratios - WordPress.com · 2018. 4. 9. · a triangle in order to use the sine ratio and what you must know about a triangle in order to use the cosine ratio.

Example3:FindingLegLengthsFindthevaluesofxandyusingsineandcosine.Roundyouranswertothenearesttenth`Tryonyourown:

1) Writecos 23+intermsofsine.

2) Findthevaluesofuandtusingsineandcosine.AngleofDepression:TheanglethatadownwardlineofsightmakeswithahorizontallineExample4:ModelingwithMathematicsYouareskiingonamountainwithanaltitudeof1200ft.Theangleofdepressionis21o.Findthedistanceyouskidownthemountaintothenearestfoot.Homework:4,6,9-21odd,26*,27,30,36,41-44

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