Question 982027
tanθ+cotθ =2,
<pre>
{{{tan^3(theta)+cot^3(theta)}}}{{{""=""}}}{{{"?"}}}

{{{tan(theta)+cot(theta)}}}{{{""=""}}}{{{2}}}
{{{tan(theta)+1/tan(theta)}}}{{{""=""}}}{{{2}}}
{{{tan^2(theta)+1}}}{{{""=""}}}{{{2tan(theta)}}}
{{{tan^2(theta)-2tan(theta)+1}}}{{{""=""}}}{{{0}}}
{{{(tan(theta)-1)^2}}}{{{""=""}}}{{{0}}}
{{{tan(theta)-1}}}{{{""=""}}}{{{0}}}
{{{tan(theta)}}}{{{""=""}}}{{{1}}}

So

{{{tan^3(theta)+cot^3(theta)}}}{{{""=""}}}{{{tan^3(theta)+1/tan^3(theta)}}}{{{""=""}}}{{{1^3+1/1^3}}}{{{""=""}}}{{{1+1/1}}}{{{""=""}}}{{{1+1}}}{{{""=""}}}{{{2}}}

Edwin</pre>