Question 190769
<pre><font size = 4 color = "indigo"><b>

{{{(1+Sinx)/Cosx + Cosx/(1+Sinx)}}}

The LCD is {{{Cosx(1+Sinx)}}}

{{{((1+Sinx)(1+Sinx)+Cos^2x)/(Cosx(1+Sinx))}}}

Multiply out the top:

{{{(1+2Sinx+Sin^2x+Cos^2x)
/(Cosx(1+Sinx))}}}

Replace the {{{Sin^2x+Cos^2x}}} by {{{1}}}

{{{(1+2Sinx+1)
/(Cosx(1+Sinx))}}}

Combine the {{{1}}} and {{{1}}} as {{{2}}}.

{{{(2+2Sinx)
/(Cosx(1+Sinx))}}}

Factor out 2 on the top:

{{{(2(1+Sinx))
/(Cosx(1+Sinx))}}} 

Cancel the {{{(1+Sinx)}}}'s

{{{(2(cross(1+Sinx)))
/(Cosx(cross(1+Sinx)))}}}

{{{2/Cosx}}}

You could quit here, but if you like
you can go further:

{{{2*(1/Cosx)}}}

Replace {{{1/Cosx}}} by {{{Secx}}}

{{{2Secx}}}

Edwin</pre>