先用正弦定理把边化为角.
sinBcosC=(2sinA-sinC)cosB
sinBcosC+cosBsinC=2sinAcosB
sin(B+C)=sinA=2sinAcosB
cosB=1/2
B=π/3(60°)
sinA+sinC=sinA+sin(2π/3-A)
=sinA+√3/2*cosA+1/2*sinA
=sinA*3/2+cosA*√3/2
=√3*sin(A+π/6)
因为 0
先用正弦定理把边化为角.
sinBcosC=(2sinA-sinC)cosB
sinBcosC+cosBsinC=2sinAcosB
sin(B+C)=sinA=2sinAcosB
cosB=1/2
B=π/3(60°)
sinA+sinC=sinA+sin(2π/3-A)
=sinA+√3/2*cosA+1/2*sinA
=sinA*3/2+cosA*√3/2
=√3*sin(A+π/6)
因为 0