Question: i need help with a trigonometry problem? ok the directions say to add and subtract and to use the fundamental identities to simplify. {[the ` are just spaces]}\nProblem: \n\n(cos x/1+sin x) + (1+sin x/ cos x)\n\nnow the answer is 2secx but i dont know how to get there and i have tried almost everything.

Answer: (cosx/1+sinx) + (1+sinx/cosx)\n(cos^2 x)/ (1 + sinx)(cosx) + (1 + sinx)^2\n(cos^2 x + 1 + 2sinx + sin ^2 x) / (cosx + cosxsinx)\nthen cos^2 x + sin ^2 x = 1, so substitute and you get\n(2 + 2sinx) / (cosx + cosxsinx\nthen factor a 2 out of the top, and the cosx from the bottom and you get\n(2(1+sinx)) / cosx(1+sinx)\nsimplify and you're left with\n2 / cosx\nand secx = 1/cosx\nso you get 2secx
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