I need to show working and prove that: (cosx)/(1-sinx) + (cosx)/(1+sinx) = 2Secx

What seems to be the trouble?

You have:



Now, the objective is to show that it is equal to 2secx.

As with any fraction, get the denominators the same. What's your LCD?:

It's



Now, finish up? Remember that

Thanks for your help