Question 1059661
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Show that cos x / 1 + sin x + cos x /  1 - sin x  =  2 sec x
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<pre>
{{{cos(x)/(1+sin(x))}}} +  {{{cos(x)/(1-sin(x))}}} = {{{(cos(x)*(1-sin(x)) + cos(x)*(1+sin(x)))/((1-sin(x))*(1+sin(x)))}}} = {{{(2*cos(x))/(1-sin^2(x))}}} = {{{(2*cos(x))/cos^2(x)}}} = {{{2/cos(x)}}} = 2sec(x)


QED.
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