函数倍角公式总结
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-cotA) 倍角公式 Sin2A=2SinA?CosA Cos2A=CosA^2-SinA^2=1-2SinA^2=2CosA^2-1 tan2A=2tanA/1-tanA^2 三倍角公式 tan3a=tana·tan(π/3+a)·tan(π/3-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)