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三角函数公式
两角和公式
  sin(A+B) = sinAcosB+cosAsinB
  sin(A-B) = sinAcosB-cosAsinB 
  cos(A+B) = cosAcosB-sinAsinB
  cos(A-B) = cosAcosB+sinAsinB
  tan(A+B) = (tanA+tanB)/(1-tanAtanB)
  tan(A-B) = (tanA-tanB)/(1+tanAtanB)
  cot(A+B) = (cotAcotB-1)/(cotB+cotA) 
  cot(A-B) = (cotAcotB+1)/(cotB

倍角公式
Sin2A=2SinA•CosA
  Cos2A=Cos^A-Sin^A=1-2Sin^A=2Cos^A-1
  tan2A=2tanA/1-tan^A
和差化积

sin(a)+sin(b) = 2sin[(a+b)/2]cos[(a-b)/2]
  sin(a)-sin(b) = 2cos[(a+b)/2]sin[(a-b)/2]
  cos(a)+cos(b) = 2cos[(a+b)/2]cos[(a-b)/2]
  cos(a)-cos(b) = -2sin[(a+b)/2]sin[(a-b)/2]
  tanA+tanB=sin(A+B)/cosAcosB
积化和差
sin(a)sin(b) = -1/2*[cos(a+b)-cos(a-b)]
  cos(a)cos(b) = 1/2*[cos(a+b)+cos(a-b)]
  sin(a)cos(b) = 1/2*[sin(a+b)+sin(a-b)]
  cos(a)sin(b) = 1/2*[sin(a+b)-sin(a-b)]

诱导公式
  sin(-a) = -sin(a)
  cos(-a) = cos(a)
  sin(π/2-a) = cos(a)
  cos(π/2-a) = sin(a)
  sin(π2+a) = cos(a)
  cos(π/2+a) = -sin(a)
  sin(π-a) = sin(a)
  cos(π-a) = -cos(a)
  sin(π+a) = -sin(a)
  cos(π+a) = -cos(a)
  tanA=tanA = sinA/cosA
作者:张老师(129970)09-02-07 20:13回复此贴
1楼
呵呵,很基本的公式,不过要想完全记住,还是得花点工夫!
作者:尹老师(141335)09-03-13 10:15回复此贴
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