tan(x-π/4)
=(tanx-tanπ/4)/(1+tanx*tanπ/4)
=(2-1)/(1+2*1)
=1/3
tan2(x-π/4)
=2tan(x-π/4)/[1-tan^2(x-π/4)]
=2*(1/3)/[1-(1/3)^2]
=3/4
tan(x-π/4)
=(tanx-tanπ/4)/(1+tanx*tanπ/4)
=(2-1)/(1+2*1)
=1/3
tan2(x-π/4)
=2tan(x-π/4)/[1-tan^2(x-π/4)]
=2*(1/3)/[1-(1/3)^2]
=3/4