Question 1104113
<br>
{{{(2+tanx^2)/secx^2-1}}}<br>
{{{(2+(sinx^2)/cosx^2)/(1/cosx^2)-1}}}  ... get everything in terms of sinx and cosx<br>
{{{((2cosx^2+sinx^2)/cosx^2)/(1/cosx^2)-1}}}  ... combine terms in the numerator<br>
{{{2cosx^2+sinx^2-1}}}  ... multiply numerator and denominator by cosx^2<br>
{{{1+cosx^2-1}}}  ... using sinx^2+cosx^2=1<br>
{{{cosx^2}}}<br>
Since the problem appears to want us to write the simplified trig expression as f(x)^2, I suppose the answer they want is
{{{f(x) = cosx}}}