I'll get you started, then you finish. OK?.
You have:
\(\displaystyle \frac{1-sin^{2}xcos^{2}x}{cos^{4}x}\)
=\(\displaystyle \frac{1}{cos^{4}x}-\frac{sin^{2}xcos^{2}x}{cos^{4}x}\)
=\(\displaystyle \frac{1}{cos^{4}x}-\frac{sin^{2}x}{cos^{2}x}\)
Now, use the identities \(\displaystyle \frac{sinx}{cosx}=tanx\) and \(\displaystyle tan^{2}x+1=\frac{1}{cos^{2}x}\) to finish.