Question

I need help in math can you please help me

Answer 1

We need to verify the trigonometric identity:

`\begin{gathered} (1)/(\sec(x)+\tan(x))+(1)/(\sec(x)-\tan(x))=(\sec (x)+\tan (x)+\sec (x)-\tan (x))/((\sec (x)+\tan (x))(\sec (x)-\tan (x))) \\ (1)/(\sec(x)+\tan(x))+(1)/(\sec(x)-\tan(x))=(2\sec (x))/(\sec ^2(x)-\tan ^2(x)) \\ (1)/(\sec(x)+\tan(x))+(1)/(\sec(x)-\tan(x))=2\sec (x) \end{gathered}`