∵ab/bc=3/2
∴由正弦定理知 sinC/sinA=3/2
∵角b=60度
∴∠C=120°-∠A
∴2sin(120°-A)=3sinA
∴2(√3/2)cosA+2(1/2)sinA=3sinA
∴√3cosA=2sinA (1)
∴4sin^2A=3cos^2A=3(1-sin^2A) sinA=√21/7
代入(1) cosA=2√7/7
sin(A+派/4)=sinAcos(π/4)+sin(π/4)cosA
=(√2/2)(√21/7+2√7/7)
=(√42+2√14)/14