Question 832148
<pre>
{{{(sin(x)+cos(x))/sin(x)- (cos(x)-sin(x))/cos(x)}}}{{{""=""}}}{{{sec(x)csc(x)}}}

{{{(sin(x)/sin(x)+cos(x)/sin(x))-(cos(x)/cos(x)-sin(x)/cos(x))}}}

{{{(1+cos(x)/sin(x))-(1-sin(x)/cos(x))}}}

{{{1+cos(x)/sin(x)-1+sin(x)/cos(x)}}}

{{{cos(x)/sin(x)+sin(x)/cos(x)}}}

Get LCD = sin(x)cos(x)

{{{cos(x)/sin(x)+sin(x)/cos(x)}}}

{{{(cos(x)cos(x))/(sin(x)cos(x))+(sin(x)sin(x))/(cos(x)sin(x))}}}

{{{cos^2(x)/(sin(x)cos(x))+sin^2(x)/(cos(x)sin(x))}}}

{{{(cos^2(x)+sin^2(x))/(cos(x)sin(x))}}}

{{{1/(cos(x)sin(x))}}}

{{{(1/cos(x))(1/sin(x))}}}

{{{sec(x)csc(x)}}}

Edwin</pre>