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高数公式父亲全整顿理doc下载

更新时间:2018-11-04 08:48点击数:文字大小:

  初等数学公式middot方关:sin^(alpha)cos^(alpha)=^(alpha)=sec^(alpha)cot^(alpha)=csc^(alpha)middot积的关:sinalpha=alpha*cosalphacosalpha=cotalpha*sinalphaalpha=sinalpha*secalphacotalpha=cosalpha*cscalphasecalpha=alpha*cscalphacscalpha=secalpha*cotalphamiddot倒腾数关:alphamiddotcotalpha=sinalphamiddotcscalpha=cosalphamiddotsecalpha=直角叁角形ABC中,角A的正弦值就等于角A的对边比歪边,余弦等于角A的邻边比歪边正切等于对边比邻边,middot叁角函数恒等变形公式middot两角和与差的叁角函数:cos(alphabeta)=cosalphamiddotcosbetasinalphamiddotsinbetacos(alphabeta)=cosalphamiddotcosbetasinalphamiddotsinbetasin(alphaplusmnbeta)=sinalphamiddotcosbetaplusmncosalphamiddotsinbeta(alphabeta)=(alphabeta)(alphamiddotbeta)(alphabeta)=(alphabeta)(alphamiddotbeta)middot叁角和的叁角函数:sin(alphabetagamma)=sinalphamiddotcosbetamiddotcosgammacosalphamiddotsinbetamiddotcosgammacosalphamiddotcosbetamiddotsingammasinalphamiddotsinbetamiddotsingammacos(alphabetagamma)=cosalphamiddotcosbetamiddotcosgammacosalphamiddotsinbetamiddotsingammasinalphamiddotcosbetamiddotsingammasinalphamiddotsinbetamiddotcosgamma(alphabetagamma)=(alphabetagammaalphamiddotbetamiddotgamma)(alphamiddotbetabetamiddotgammagammamiddotalpha)middot辅弼角公式:AsinalphaBcosalpha=(A^B^)^()sin(alphat)就中sint=B(A^B^)^()cost=A(A^B^)^()t=BAAsinalphaBcosalpha=(A^B^)^()cos(alphat)t=ABmiddot倍角公式:middot叁倍角公式:sin(alpha)=sinalphamiddotcosalpha=(alphacotalpha)sin(alpha)=sinalphasin^(alpha)cos(alpha)=cos^(alpha)sin^(alpha)=cos^(alpha)=sin^(alpha)cos(alpha)=cos^(alpha)cosalpha(alpha)=alpha^(alpha)middot半角公式:sin(alpha)=plusmnradic((cosalpha))cos(alpha)=plusmnradic((cosalpha))(alpha)=plusmnradic((cosalpha)(cosalpha))=sinalpha(cosalpha)=(cosalpha)sinalphamiddot投降幂公式sin^(alpha)=(cos(alpha))=versin(alpha)cos^(alpha)=(cos(alpha))=covers(alpha)^(alpha)=(cos(alpha))(cos(alpha))middot全能公式:sinalpha=(alpha)^(alpha)cosalpha=^(alpha)^(alpha)alpha=(alpha)^(alpha)middot积募化和差公式:sinalphamiddotcosbeta=()sin(alphabeta)sin(alphabeta)cosalphamiddotsinbeta=()sin(alphabeta)sin(alphabeta)cosalphamiddotcosbeta=()cos(alphabeta)cos(alphabeta)sinalphamiddotsinbeta=()cos(alphabeta)cos(alphabeta)middot和差募化积公式:sinalphasinbeta=sin(alphabeta)cos(alphabeta)sinalphasinbeta=cos(alphabeta)sin(alphabeta)cosalphacosbeta=cos(alphabeta)cos(alphabeta)cosalphacosbeta=sin(alphabeta)sin(alphabeta)middot铰带公式alphacotalpha=sinalphaalphacotalpha=cotalphacosalpha=cos^alphacosalpha=sin^alphasinalpha=(sinalphacosalpha)^middot其他:sinalphasin(alphapin)sin(alphapi*n)sin(alphapi*n)helliphellipsinalphapi*(n)n=cosalphacos(alphapin)cos(alphapi*n)cos(alphapi*n)helliphellipcosalphapi*(n)n=以及sin^(alpha)sin^(alphapi)sin^(alphapi)=AB(AB)AB(AB)=叁角函数的角度换算编纂本段公式壹:设alpha为恣意角终边相反的角的相畅通叁角函数的值相当:sin(kpi+alpha)=sinalphacos(kpi+alpha)=cosalpha(kpi+alpha)=alphacot(kpi+alpha)=cotalpha公式二:设alpha为恣意角pialpha的叁角函数值与alpha的叁角函数值之间的关:sin(pi+alpha)=-sinalphacos(pi+alpha)=-cosalpha(pi+alpha)=alphacot(pi+alpha)=cotalpha公式叁:恣意角alpha与alpha的叁角函数值之间的关:sin(-alpha)=-sinalphacos(-alpha)=cosalpha(-alpha)=-alphacot(-alpha)=-cotalpha公式四:使用公式二和公式叁却以违反掉落pialpha与alpha的叁角函数值之间的关:sin(pi-alpha)=sinalphacos(pi-alpha)=-cosalpha(pi-alpha)=-alphacot(pi-alpha)=-cotalpha公式五:使用公式壹和公式叁却以违反掉落pialpha与alpha的叁角函数值之间的关:sin(pi-alpha)=-sinalphacos(pi-alpha)=cosalpha(pi-alpha)=-alphacot(pi-alpha)=-cotalpha公式六:piplusmnalpha及piplusmnalpha与alpha的叁角函数值之间的关:sin(pi+alpha)=cosalphacos(pi+alpha)=-sinalpha(pi+alpha)=-cotalphacot(pi+alpha)=-alphasin(pi-alpha)=cosalphacos(pi-alpha)=sinalpha(pi-alpha)=cotalphacot(pi-alpha)=alphasin(pi+alpha)=-cosalphacos(pi+alpha)=sinalpha(pi+alpha)=-cotalphacot(pi+alpha)=-alphasin(pi-alpha)=-cosalphacos(pi-alpha)=-sinalpha(pi-alpha)=cotalphacot(pi-alpha)=alpha(以上kisinZ)片断初等外面容编纂本段middot初等代数中叁角函数的指数体即兴(由泰勒级数善得):sinx=e^(ix)e^(ix)(i)cosx=e^(ix)e^(ix)x=e^(ix)e^(ix)ie^(ix)ie^(ix)泰勒展开拥有无量级数e^z=exp(z)=+z!+z^!+z^!+z^!+hellip+z^nn!+hellip此雕刻叁角函数定义域已铰行到整顿个副数集儿子。middot叁角函数干为微分方的松:关于微分方组y=y##y=y####拥有畅通松Q,却证皓Q=AsinxBcosx故此也却以从此触宗身定义叁角函数。增补养:由相应的指数体即兴我们却以定义壹种相像的函数mdashmdash副曲函数其拥拥有很多与叁角函数的相像的习惯二者相映成趣。特殊叁角函数值a`````sinaradicradiccosaradicradicaradicradicNonecooneradicradic带数公式:根本积分表:叁角函数的靠边式积分:壹些初等函数:两个要紧极限:叁角函数公式:middot开说公式:函数角Asincoscotalphasinalphacosalphaalphacotalphadegalphacosalphasinalphacotalphaalphadegalphacosalphasinalphacotalphaalphadegalphasinalphacosalphaalphacotalphadegalphasinalphacosalphaalphacotalphadegalphacosalphasinalphacotalphaalphadegalphacosalphasinalphacotalphaalphadegalphasinalphacosalphaalphacotalphadegalphasinalphacosalphaalphacotalphamiddot和差角公式:middot和差募化积公式:middot倍角公式:middot半角公式:middot正弦定理:middot余弦定理:middot反叁角函数习惯:高阶带数公式mdashmdash莱布匹尼兹(Leibniz)公式:中值定理与带数运用:曲比值:定积分的相近计算:定积分运用相干公式:当空松析若干和向量代数:多元函数微分法及运用微分法在若干上的运用:方带游数与梯度:多元函数的极值及其寻求法:重积分及其运用:柱面背靠标注和球面背靠标注:曲线积分:曲面积分:高斯公式:斯托克斯公式mdashmdash曲线积分与曲面积分的关:日数项级数:级数审敛法:对立收敛与环境收敛:幂级数:函数展开成幂级数:壹些函数展开成幂级数:欧弹奏公式:叁角级数:傅立叶级数:周期为的周期函数的傅立叶级数:微分方的相干概念:壹阶线性微分方:全微分方:二阶微分方:二阶日数齐全次线性微分方及其松法:EMBEDEquation(*)式的畅通松两个不相当实根两个相当实根壹对共轭骈根二阶日数匪齐全次线性微分方EMBED*MERGEFORMATEMBED*MERGEFORMATEMBED*MERGEFORMATEMBED*MERGEFORMATEMBED*MERGEFORMATEMBED*MERGEFORMATEMBED*MERGEFORMATEMBED*MERGEFORMATEMBED*MERGEFORMATEMBED*MERGEFORMATEMBED*MERGEFORMATEMBED*MERGE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