Question

tanx+secx=sq.rt3

Answer 1

tanx+secx
=sinx/cosx+1/cosx
=(sinx+1)/cosx
=(sinx/2+cox/2)^2/(cos^2x/2-sin^2x/2)
=(cos x/2+sin x/2)/(cos x/2 -sin x/2)
=(1+tan x/2)/(1-tan x/2)
=(tan45+tanx/2)/(1-tan45*tan x/2)
=tan(45+x/2)

so tan(45+x/2)=sq.rt3