Question

化简tan(5派/12)

Answer 1

tan5π/12=tan(π/6+π/4)

=(tanπ/6+tanπ/4)/(1-tanπ/6*tanπ/4)

=(√3/3+1)/(1-1*√3/3)

=(√3+3)/(3-√3)

=(√3+3)^2/6

=(12+6√3)/6

=2+√3