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jetblack2479 · Jun 15, 2007, 11:02 PM

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

galactus · Jun 16, 2007, 03:51 AM

What seems to be the trouble?

You have:

$\frac{cosx}{1-sinx}+\frac{cosx}{1+sinx}$

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 $(1+sinx)(1-sinx)$

$\frac{(1+sinx)cosx}{(1+sinx)(1-sinx)}+\frac{cosx(1-sinx)}{(1+sinx)(1-sinx)}$

Now, finish up? Remember that $1-sin^{2}x=cos^{2}x$

jetblack2479 · Jul 15, 2007, 12:24 AM

Thanks for your help