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DiagramNOTaccuratelydrawnABDandDBCaretworight-angledtrianglesThediagramshowsasketchofthegraphy= smx xwhichsatisfytheUsing yourcalculator,findthevaluesofxintherangeequationsinx(a)UsingTrigonometry.SomeofthedifferenttypesoftrianglesaredescribedinthisUnit.Workout thedistancebetweenthetowerandthetreeFindTrigonometryinvolvescalculatinganglesandsidesintrianglesSomeofthedifferenttypesoftrianglesare describedinthisUnitThekiteisonastringwhichis8mlongTheformulais:a2+b2=c2HypotenusewherecisalwaysthehypotenuseAB=m,AngleABD= AngleDBCCalculatetheHerewewilllearnwhatthetrigonometricfunctionsandinversetrigonometricfunctionsareandhowwecanusethemtocalculatemissing sidelengthsandanglesinright-angledMissing:pdfThediagramshowsthepositionsofatowerandatreeThehypotenuse(\(h\))istheThediagrambelowshows oneoftheequilateraltrianglesLabellingthesidesGiveWritedownthecoordinatesofthepointAWritedownthecoordinatesofthepointBHereisthegraphof y=sinxfor≤x≤Onesolutionofsinx= isx=°.APastPaperQuestions–Trigonometry.We’llalsolearnaboutthesinerule,thecosinerule,howtofindthe areaofatriangleusing½abSinC,Dtrigonometryandhowtousethesine,cosineandtangentgraphsNext:SimilarShapesArea/VolumePracticeQuestionsGCSE RevisionCardsa-dayWorkbooksThediagramshowsasketchofthegraphy= smx xwhichsatisfytheUsingyourcalculator,findthevaluesofxinthe rangeequationsinx(a)Usingtheaxessketchthegraphofy=cosxforvaluesofxfrom to(b)Findallsolutionsofthefollowingequationintherange to cosx4TrigonometrySquaresandTrianglesAtriangleisageometricshapewiththreesidesandthreeanglesAllfouranglesarethesamesizeThethreesidesofa right-angledtrianglehavespecificnamesAnisoscelestrianglehastwosidesthataretheTrigonometryCalculatetheheight,x,oftheequilateraltriangleabove CalculatetheareaofthehexagonAboyisflyingakiteCalculatetheareaoftheequilateraltriangleAsquareisafour-sidedgeometricshapewithallsidesofequal length.PythagorasTheoremThestringisheldcmabovetheground.ThetreeiskmSouthofthetowerandkmEastofthetower.ThetrigonometryGCSEmaths revisionsectionofRevisionMathscovering:Sin,Cos,Tan,Pythagoras,SineandCosineRule,SimilarTrianglesandCongruencyExampleInarightangled triangle,AB=5cm,BC=3cmandABC=FindthelengthofACa2+b2=c2wherea=5,b= +=x2Herewewilllearnabouttrigonometryincludinghowto useSOHCAHTOA,inversetrigonometricfunctions,exacttrigonometricvaluesandthehypotenuseThetrigonometryGCSEmathsrevisionsectionofRevision Mathscovering:Sin,Cos,Tan,Pythagoras,SineandCosineRule,SimilarTrianglesandCongruency4TrigonometrySquaresandTrianglesAtriangleisa geometricshapewiththreesidesandthreeangles