Question

let x be a real number such that sec x-tanx=2 evaluate secx+tanx

Answer 1

$we \: know \: that \: ({ \sec }^{2} x - { \tan }^{2} x) = 1 \\ ( \sec(x) - \tan(x )) ( \sec(x) + \tan(x) ) = 1 \\ 2( \sec(x) + \tan(x) ) = 1 \\ (\sec(x) + \tan(x) ) = \frac{1}{2}$