AB/sinC=BC/sinA
AB=BCsinC/sinA=2√5
BC²=AB²+AC²-2ABABcosA
cosA=2√5/5
sinA=√5/5
sin2A=2sinAcosA=4/5
cos2A=cos²A-sin²A=3/5
sin(2A-π/4)=sin2Acos(π/4)-cos2Asin(π/4)=√2/10
AB/sinC=BC/sinA
AB=BCsinC/sinA=2√5
BC²=AB²+AC²-2ABABcosA
cosA=2√5/5
sinA=√5/5
sin2A=2sinAcosA=4/5
cos2A=cos²A-sin²A=3/5
sin(2A-π/4)=sin2Acos(π/4)-cos2Asin(π/4)=√2/10