How Do You Solve the Equation tan(x) + sec(x) = 1?

[jrjack]

Homework Statement

tanx+secx=1

Homework Equations

The Attempt at a Solution

tanx+secx=1
tanx=1-secx then square both sides?
$$\tan^2 x= 1-2\sec x+\sec^2 x$$$$\sec^2 x-1=1-2\sec x+\sec^2 x$$$$2-2\sec x=0$$$$\sec x=0$$ 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