Trig solution, tanx+secx=1

[jrjack]

1. The problem statement, all variables and given/known data
tanx+secx=1


2. Relevant equations



3. The attempt at a solution
tanx+secx=1
tanx=1-secx then square both sides???
\tan^2 x= 1-2\sec x+\sec^2 x\sec^2 x-1=1-2\sec x+\sec^2 x2-2\sec x=0\sec x=0 No Solution

[LCKurtz]

2 -2sec(x)=0 gives sec(x)=1, not 0.

[jrjack]

Thanks, I was trying to factor out a 2 when,
I should have subtracted 2 then divided by 2, getting sec(x)=1