Trig Identities 2

TRIGONOMETRICIDENTITIES2Tan(x)=)()(xCosxSinSec(x)=)(1xCosCosec(x)=)sin(1xCot(x)=)tan(1x=)()(xSinxCosSin2(x)+cos2(x)=1Tan2(x)+1=Sec2(x)Cot2(x)+1=Cosec2(x)Sin(x±y)=Sin(x)Cos(y)±Cos(x)Sin(y)Cos(x±y)=Cos(x)CosySin(x)Sin(y)Tan(x±y)=)()(1)()(yTanxTanyTanxTanSin(x)+Sin(y)=2Sin2)(yxCos2)(yxSin(x)–Sin(y)=2Cos2)(yxSin2)(yxCos(x)+Cos(y)=2Cos2)(yxCos2)(yxCos(x)–Cos(y)=-2Sin2)(yxSin2)(yxSin(x)Cos(y)=21{Sin(x+y)+Sin(x-y)}Cos(x)Sin(y)=21{Sin(x+y)-Sin(x-y)}Cos(x)Cos(y)=21{Cos(x+y)+Cos(x-y)}Sin(x)Sin(y)=21{Cos(x-y)-Cos(x+y)}Sin(2x)=2Sin(x)Cos(x)TRIGONOMETRICIDENTITIES2Cos(2x)=Cos2(x)–Sin2(x)=2Cos2(x)-1Cos(2x)=1–2Sin2(x)Tan(2x)=)(1)(22xTanxTanCos2(x)=21{1+cos(2x)}Sin2(x)=21{1-cos(2x)}Sin(3x)=3Sin(x)–4Sin3(x)Cos(3x)=4Cos3(x)-3Cos(x)Ift=Tan(2x)then:Sin(x)=212tt,Cos(x)=2211tt,Tan(x)=212tt