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Establish the Identity ((1+cosx+sinx)/(1+cosx-sinx)) = secx + tanx

Hi!

I need to establish this:Attachment 23731 using the more basic trigonometric identities.

I've tried all kinds of stuff for several hours without results. Any help would be highly appreciated!

Re: Establish the Identity ((1+cosx+sinx)/(1+cosx-sinx)) = secx + tanx

Re: Establish the Identity ((1+cosx+sinx)/(1+cosx-sinx)) = secx + tanx

Awesomesauce!!

Thanks a bunch!

Re: Establish the Identity ((1+cosx+sinx)/(1+cosx-sinx)) = secx + tanx

Alternatively write the right hand side as 1/cosx+sinx/cosx= (1+sinx)/cosx and then show that LHS-RHS=0 by putting on common denominator.