Answer:
Step-by-step explanation:
The right side of the identity
[tex]cos^{2} x sec^{2} x - cos^{2} x\\= cos^{2} x (\frac{1}{cos^{2} x} ) - cos^{2} x\\= 1 - cos^{2} x\\= sin^{2} x[/tex]
which is the same as the left side of the identity