已知5sinB=sin(2A+B),求证2sin(A+B)=3tanA

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已知5sinB=sin(2A+B),求证2sin(A+B)=3tanA
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已知5sinB=sin(2A+B),求证2sin(A+B)=3tanA
已知5sinB=sin(2A+B),求证2sin(A+B)=3tanA

已知5sinB=sin(2A+B),求证2sin(A+B)=3tanA
证明:5sin[(A+B)-A]=sin[A+(A+B)]
5sin(A+B)cosA-5cos(A+B)sinA=sin(A+B)cosA+cos(A+B)sinA
4sin(A+B)cosA=6cos(A+B)sinA
2sin(A+B)=3tanA