三角形ABC中 tanB=根号3 cosC=1/3 AC=3根号6 则三角形ABC的面积是

tanB=√3所以B=60度b=3√6cosC=1/3所以sinC=2√2/3b/sinB=c/sinC所以3√6/(√3/2)=c/(2√2/3)c=8sinA=sin(180-B-C)=sin(B+C)=sinBcosC+cosBsinC=√3/6+√2/3=(√3+2√2)/6所以S=(bcsinA)/2=6√2+4√3...