Use the identity sec^2x = 1 + tan^2 x - so sec x = sqrt(1 + tan^2 x) then:- tan x + sqrt( 1 + tan^2 x) = 1 sqrt ( 1 + tan^2 x) = 1 - tan x 1 + tan^2 x = 1 + tan^2x - 2 tan x 0 = -2 tanx
tan x = 0
x = 0, π π is an extraneous root because sec 180 = -1 So the answer is 0 degrees
