求证sin(A+B)/cos(A-B)=(tanA+tanB)/(1+tanAtanB)如题,sin(A+B)/cos(A-B)=(tanA+tanB)/(1+tanAtanB)

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求证sin(A+B)/cos(A-B)=(tanA+tanB)/(1+tanAtanB)如题,sin(A+B)/cos(A-B)=(tanA+tanB)/(1+tanAtanB)求证sin(A+B)/

求证sin(A+B)/cos(A-B)=(tanA+tanB)/(1+tanAtanB)如题,sin(A+B)/cos(A-B)=(tanA+tanB)/(1+tanAtanB)
求证sin(A+B)/cos(A-B)=(tanA+tanB)/(1+tanAtanB)
如题,
sin(A+B)/cos(A-B)=(tanA+tanB)/(1+tanAtanB)

求证sin(A+B)/cos(A-B)=(tanA+tanB)/(1+tanAtanB)如题,sin(A+B)/cos(A-B)=(tanA+tanB)/(1+tanAtanB)
sin(A+B)/cos(A-B)
=(sinAcosB+cosAsinB)/(cosAcosB+sinAsinB)
=[(sinAcosB+cosAsinB)/cosAcosB]/[(cosAcosB+sinAsinB)/cosAcosB]
=(tanA+tanB)/(1+tanAtanB)