§4.2同角三角函数基本关系及诱导公式INCLUDEPICTURE"F:\\2015\\一轮\\数学\\苏教\\大一轮苏教版\\基础知识自主学习.tif"\*MERGEFORMATINETINCLUDEPICTURE"F:\\2015\\一轮\\数学\\苏教\\理\\word\\大一轮苏教版\\基础知识自主学习.tif"\*MERGEFORMATINETINCLUDEPICTURE"F:\\2015\\一轮\\数学\\苏教\\理\\word\\大一轮苏教版\\基础知识自主学习.tif"\*MERGEFORMATINETINCLUDEPICTURE"F:\\2015\\一轮\\数学\\苏教\\大一轮苏教版\\知识梳理.TIF"\*MERGEFORMATINETINCLUDEPICTURE"F:\\2015\\一轮\\数学\\苏教\\理\\word\\大一轮苏教版\\知识梳理.TIF"\*MERGEFORMATINETINCLUDEPICTURE"F:\\2015\\一轮\\数学\\苏教\\理\\word\\大一轮苏教版\\知识梳理.TIF"\*MERGEFORMATINET1.同角三角函数的基本关系(1)平方关系:sin2α+cos2α=1.(2)商数关系:=tanα.2.下列各角的终边与角α的终边的关系角2kπ+α(k∈Z)π+α-α图示INCLUDEPICTURE"F:\\2015\\一轮\\数学\\苏教\\大一轮苏教版\\147.TIF"\*MERGEFORMATINETINCLUDEPICTURE"F:\\2015\\一轮\\数学\\苏教\\理\\word\\大一轮苏教版\\147.TIF"\*MERGEFORMATINETINCLUDEPICTURE"F:\\2015\\一轮\\数学\\苏教\\理\\word\\大一轮苏教版\\147.TIF"\*MERGEFORMATINETINCLUDEPICTURE"F:\\2015\\一轮\\数学\\苏教\\大一轮苏教版\\148.TIF"\*MERGEFORMATINETINCLUDEPICTURE"F:\\2015\\一轮\\数学\\苏教\\理\\word\\大一轮苏教版\\148.TIF"\*MERGEFORMATINETINCLUDEPICTURE"F:\\2015\\一轮\\数学\\苏教\\理\\word\\大一轮苏教版\\148.TIF"\*MERGEFORMATINETINCLUDEPICTURE"F:\\2015\\一轮\\数学\\苏教\\大一轮苏教版\\149.TIF"\*MERGEFORMATINETINCLUDEPICTURE"F:\\2015\\一轮\\数学\\苏教\\理\\word\\大一轮苏教版\\149.TIF"\*MERGEFORMATINETINCLUDEPICTURE"F:\\2015\\一轮\\数学\\苏教\\理\\word\\大一轮苏教版\\149.TIF"\*MERGEFORMATINET1与角α终边的关系相同关于原点对称关于x轴对称角π-α-α+α图示INCLUDEPICTURE"F:\\2015\\一轮\\数学\\苏教\\大一轮苏教版\\150.TIF"\*MERGEFORMATINETINCLUDEPICTURE"F:\\2015\\一轮\\数学\\苏教\\理\\word\\大一轮苏教版\\150.TIF"\*MERGEFORMATINETINCLUDEPICTURE"F:\\2015\\一轮\\数学\\苏教\\理\\word\\大一轮苏教版\\150.TIF"\*MERGEFORMATINETINCLUDEPICTURE"F:\\2015\\一轮\\数学\\苏教\\大一轮苏教版\\151.TIF"\*MERGEFORMATINETINCLUDEPICTURE"F:\\2015\\一轮\\数学\\苏教\\理\\word\\大一轮苏教版\\151.TIF"\*MERGEFORMATINETINCLUDEPICTURE"F:\\2015\\一轮\\数学\\苏教\\理\\word\\大一轮苏教版\\151.TIF"\*MERGEFORMATINETINCLUDEPICTURE"F:\\2015\\一轮\\数学\\苏教\\大一轮苏教版\\152.TIF"\*MERGEFORMATINETINCLUDEPICTURE"F:\\2015\\一轮\\数学\\苏教\\理\\word\\大一轮苏教版\\152.TIF"\*MERGEFORMATINETINCLUDEPICTURE"F:\\2015\\一轮\\数学\\苏教\\理\\word\\大一轮苏教版\\152.TIF"\*MERGEFORMATINET与角α终边的关系关于y轴对称关于直线y=x对称3.六组诱导公式组数一二三四五六角2kπ+α(k∈Z)-απ-απ+α-α+α正弦sinα-sinαsinα-sinαcosαcosα余弦cosαcosα-cosα-cosαsinα-sin2α正切tanα-tanα-tanαtanα口诀函数名不变符号看象限函数名改变符号看象限【思考辨析】判断下面结论是否正确(请在括号中打“√”或“×”)(1)sin(π+α)=-sinα成立的条件是α为锐角.(×)(2)六组诱导公式中的角α可以是任意角.(×)(3)若cos(nπ-θ)=(n∈Z),则cosθ=.(×)(4)已知sinθ=,cosθ=,其中θ∈[,π],则m<-5或m≥3.(×)(5)已知θ∈(0,π),sinθ+cosθ=,则tanθ的值为-或-.(×)(6)已知tanα=-,则的值是-.(√)INCLUDEPICTURE"F:\\2015\\一轮\\数学\\苏教\\大一轮苏教版\\考点自测.tif"\*MERGEFORMATINETINCLUDEPICTURE"F:\\2015\\一轮\\数学\\苏教\\理\\word\\大一轮苏教版\\考点自测.tif"\*MERGEFORMATINETINCLUDEPICTURE"F:\\2015\\一轮\\数学\\苏教\\理\\word\\大一轮苏教版\\考点自测.tif"\*MERGEFORMATINET1.已知α是第二象限...