sinA=√3sinC
sinA=√3sin[π-(A+B)]
sinA=√3sin(A+π/3)
sinA=√3(sinA*1/2+cosA*√3/2)
sinA=(√3/2)sinA+3/2cosA
sinA(2-√3)=3cosA
tanA=sinA/cosA=3/(2-√3)=3(2+√3)=6+3√3