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1、三角函数公式1．同角三角函数基本关系式sin2α＋cos2α=1=tanαtanαcotα=12．诱导公式(奇变偶不变，符号看象限)（一）sin(π－α)＝sinαsin(π+α)＝-sinαcos(π－α)＝-cosαcos(π+α)＝-cosαtan(π－α)＝-tanαtan(π+α)＝tanαsin(2π－α)＝-sinαsin(2π+α)＝sinαcos(2π－α)＝cosαcos(2π+α)＝cosαtan(2π－α)＝-tanαtan(2π+α)＝tanα（二）sin(－α)＝cosαsin(+α)＝cosαcos(－α)＝sinαcos(+α)＝-si
2、nαtan(－α)＝cotαtan(+α)＝-cotαsin(－α)＝-cosαsin(+α)＝-cosαcos(－α)＝-sinαcos(+α)＝sinαtan(－α)＝cotαtan(+α)＝-cotαsin(－α)＝－sinαcos(－α)=cosαtan(－α)=－tanα3．两角和与差的三角函数cos(α+β)=cosαcosβ－sinαsinβcos(α－β)=cosαcosβ＋sinαsinβsin(α+β)=sinαcosβ＋cosαsinβsin(α－β)=sinαcosβ－cosαsinβtan(α+β)=tan(α－β)=4．二倍角公式sin2α
3、=2sinαcosαcos2α=cos2α－sin2α＝2cos2α－1＝1－2sin2αtan2α=otherstaffoftheCentre.Duringthewar,ZhuwastransferredbacktoJiangxi,andDirectorofthenewOfficeinJingdezhen,JiangxiCommitteeSecretary.Startingin1939servedasrecorderoftheWestNorthOrganization,SecretaryoftheSpecialCommitteeAfterthevictoryofth
4、elongMarch,hehasbeentheNorthwestOfficeoftheFederationofStateenterprisesMinister,ShenmufuguSARmissions,DirectorofNingxiaCountypartyCommitteeSecretaryandrecorderoftheCountypartyCommitteeSecretary,Ministersand1．公式的变形（1）升幂公式：1＋cos2α＝2cos2α1—cos2α＝2sin2α（2）降幂公式：cos2α＝sin2α＝（3）正切公式变形：tanα+tan
5、β＝tan(α+β)（1－tanαtanβ）tanα－tanβ＝tan(α－β)（1＋tanαtanβ)（4）万能公式（用tanα表示其他三角函数值）sin2α＝cos2α＝tan2α＝2．插入辅助角公式asinx＋bcosx=sin(x+φ)(tanφ=)特殊地：sinx±cosx＝sin(x±)3．熟悉形式的变形（如何变形）1±sinx±cosx1±sinx1±cosxtanx＋cotx若A、B是锐角，A+B＝，则（1＋tanA）(1+tanB)=24．在三角形中的结论若：A＋B＋C=π,=则有tanA＋tanB＋tanC=tanAtanBtanCtantan＋t
6、antan＋tantan＝1otherstaffoftheCentre.Duringthewar,ZhuwastransferredbacktoJiangxi,andDirectorofthenewOfficeinJingdezhen,JiangxiCommitteeSecretary.Startingin1939servedasrecorderoftheWestNorthOrganization,SecretaryoftheSpecialCommitteeAfterthevictoryofthelongMarch,hehasbeentheNorthwestOffic
7、eoftheFederationofStateenterprisesMinister,ShenmufuguSARmissions,DirectorofNingxiaCountypartyCommitteeSecretaryandrecorderoftheCountypartyCommitteeSecretary,Ministersand三角函数的诱导公式1一、选择题1．如果
8、cosx
9、=cos（x+π），则x的取值集合是（）A．－+2kπ≤x≤+2kπB．－+2kπ≤x≤+2kπC．+2kπ≤x≤+2kπD．（2k+1）π≤x≤2（k+1）π（以上k
