tan(π/4+α)=sin(π/4+α)/cos(π/4+α)=[sin(π/4)cosα+cos(π/4)sinα]/[cos(π/4)cosα-sin(π/4)sinα]=[cosα+sinα]/[cosα-sinα]=2cosα+sinα=2cosα-2sinαcosα=3sinαtanα=1/31/(2sinαcosα+cos^2α...