Question

prove (tan x + sec x - 1) / (tan x - sec x + 1) = ( 1 + sin x ) / cos x

Answer 1

Hello.

This question is an application of the trigonometric identity: 1+tan^x=sec^2x

After applying the above identity and manipulating; a common term appears on numerator and denominator which cancels out and gives the answer.

Hope it helps.