生命是永恒不断的创造，因为在它内部蕴含着过剩的精力，它不断流溢，越出时间和空间的界限，它不停地追求，以形形色色的自我表现的形式表现出来。－－泰戈尔高等数学公式篇·平方关系：sin^2(α )+cos^2(α )=1 tan^2( α )+1=sec^2(α ) cot^2( α )+1=csc^2(α ) ·积的关系：sin α =tan α *cos α cos α =cot α *sin α tan α =sin α *sec α cot α =cosα *csc α sec α =tan α *csc α csc α =secα *cot α ·倒数关系：tan α ·cot α =1 sin α ·csc α =1 cos α ·sec α =1 直角三角形ABC 中, 角 A 的正弦值就等于角A 的对边比斜边 , 余弦等于角A 的邻边比斜边正切等于对边比邻边, ·三角函数恒等变形公式·两角和与差的三角函数：cos( α +β )=cos α ·cos β-sin α ·sin β cos( α-β )=cos α ·cos β +sin α ·sin β sin( α ±β)=sin α ·cos β ± cos α ·sin β tan( α +β )=(tanα +tan β )/(1-tan α ·tan β ) tan( α-β )=(tanα-tan β )/(1+tanα ·tan β ) ·三角和的三角函数：sin( α +β +γ )=sin α ·cos β ·cos γ +cosα ·sin β ·cos γ +cosα ·cos β ·sin γ-sin α ·sin β ·sin γ cos( α +β +γ )=cos α ·cos β ·cos γ-cos α ·sin β ·sin γ-sin α ·cos β ·sin γ-sin α ·sin β ·cos γ tan( α +β +γ )=(tanα +tan β +tan γ-tan α ·tan β ·tan γ )/(1-tan α ·tan β-tan β ·tan γ-tan γ ·tan α ) ·辅助角公式：Asin α +Bcosα =(A^2+B^2)^(1/2)sin(α +t)，其中sint=B/(A^2+B^2)^(1/2) cost=A/(A^2+B^2)^(1/2) tant=B/A Asin α +Bcosα =(A^2+B^2)^(1/2)cos(α-t)，tant=A/B ·倍角公式：sin(2 α )=2sin α ·cos α =2/(tanα +cot α ) cos(2 α )=cos^2(α )-sin^2(α )=2cos^2( α )-1=1- 2sin^2(α ) tan(2 α )=2tan α /[1-tan^2( α )] ·三倍角公式：sin(3 α )=3sin α-4sin^3(α ) cos(3 α )=4cos^3( α )-3cos α ·半角公式：sin( α /2)= ±√ ((1-cos α )/2) cos( α /2)= ±√ ((1+cos α )/2) tan( α /2)= ±√ ((1-co...
