Question 891508
<pre>
<pre>
Your booklet teaches you to replace cot(x) by {{{cos(x)/sin(x)}}}
So that means to replace cotē(x) by {{{cos^2(x)/sin^2(x)}}}
Try that.
{{{sin(x)+sin(x)cot^2x=csc(x)}}}
{{{sin(x)+sin(x)(cos^2(x)/sin^2(x))}}}
{{{sin(x)+cross(sin(x))(cos^2(x)/sin^(cross(2))(x))}}}
{{{sin(x)+cos^2(x)/sin(x)}}}

Get a common denominator of sin(x):

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


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

{{{csc(x)}}}

Edwin</pre>