Formula of Compound Angle

In this article we will learn about Compound Angle

Compound Angle
Compound Angle

  • Sin(A+B)= SinACosB+CosASinB
  • Sin(A-B)= SinACosB-CosASinB
  • Cos(A+B)= CosACosB-SinASinB
  • Cos(A-B)= CosACosB+SinASinB
  • Sin(A+B)Sin(A-B)= Sin²A-Sin²B=Cos²B-Cos²A
  • Cos(A+B)Cos(A-B)= Cos²A-Sin²B=Cos²B-Sin²A
  • 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)
  • Tan(A+B+C)= (TanA+TanB+TanC-TanATanBTanC)/(1-TanATanB-TanBTanC-TanCTanA)

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