三角函數(shù)公式圖像大全-文庫(kù)吧資料
2025-07-30 07:31本頁(yè)面
【正文】 x的角性質(zhì)定義域［1，1］［1，1］(∞，+∞)(∞，+∞)值域［，］［0，π］(，)(0，π)單調(diào)性在〔1，1〕上是增函數(shù)在［1，1］上是減函數(shù)在(∞，+∞)上是增數(shù)在(∞，+∞)上是減函數(shù)奇偶性arcsin(x)=arcsinxarccos(x)=πarccosxarctan(x)=arctanxarccot(x)=πarccotx周期性都不是同期函數(shù)恒等式sin(arcsinx)=x(x∈［1，1］)arcsin(sinx)=x(x∈［,］)cos(arccosx)=x(x∈［1,1］) arccos(cosx)=x(x∈［0,π］)tan(arctanx)=x(x∈R)arctan(tanx)=x（x∈(,)）cot(arccotx)=x(x∈R)arccot(cotx)=x(x∈(0,π))互余恒等式arcsinx+arccosx=(x∈［1,1］)arctanx+arccotx=(X∈R)三角函數(shù)公式兩角和公式sin(A+B) = sinAcosB+cosAsinB sin(AB) = sinAcosBcosAsinB cos(A+B) = cosAcosBsinAsinB cos(AB) = cosAcosB+sinAsinB tan(A+B) =tan(AB) =cot(A+B) =cot(AB) =倍角公式tan2A =Sin2A=2SinA?CosACos2A = Cos2ASin2A=2Cos2A1=12sin2A三倍角公式sin3A = 3sinA4(sinA)3cos3A = 4(cosA)33cosAtan3a = tanatan(a)半角公式sin()=cos()=tan()=cot()= tan()==和差化積 sina+sinb=2sincossinasinb=2cossincosa+cosb = 2coscoscosacosb = 2sinsintana+tanb=積化和差 sinasinb = [cos(a+b)cos(ab)]cosacosb = [cos(a+b)+cos(ab)]sinacosb = [sin(a+b)+sin(ab)]cosasinb = [sin(a+b)sin(ab)]誘導(dǎo)公式 sin(a) = sinacos(a) = cosasin(a) = cosacos(a) = sinasin(+a) = cosacos(+a) = sinasin(πa) = sinacos(πa) = cosasin(π+a) = sinacos(π+a) = cosatgA
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