常見的三角函式公式:
兩角和公式:
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)
倍角公式
tan2A=2tanA/1-tanA^2
Sin2A=2SinA*CosA
Cos2A = CosA^2-SinA^2=2CosA^2-1=1-2SinA^2
降冪公式:
sin^2(α)=(1-cos(2α))/2=versin(2α)/2
2cos^2(α)=(1+cos(2α))/2=covers(2α)/2
3tan^2(α)=(1-cos(2α))/(1+cos(2α))
推導公式:
1tanα+cotα=2/sin2α
tanα-cotα=-2cot2α
1+cos2α=2cos^2α
4-cos2α=2sin^2α
1+sinα=(sinα/2+cosα/2)^2=2sina(1-sin2a)+(1-2sin2a)sina
常見的三角函式公式:
兩角和公式:
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)
倍角公式
tan2A=2tanA/1-tanA^2
Sin2A=2SinA*CosA
Cos2A = CosA^2-SinA^2=2CosA^2-1=1-2SinA^2
降冪公式:
sin^2(α)=(1-cos(2α))/2=versin(2α)/2
2cos^2(α)=(1+cos(2α))/2=covers(2α)/2
3tan^2(α)=(1-cos(2α))/(1+cos(2α))
推導公式:
1tanα+cotα=2/sin2α
tanα-cotα=-2cot2α
1+cos2α=2cos^2α
4-cos2α=2sin^2α
1+sinα=(sinα/2+cosα/2)^2=2sina(1-sin2a)+(1-2sin2a)sina