Question

simplify ((2+tan^2)/sec^2))-1. Please help

Answer 1

\[\frac{2+\tan^2x}{\sec^2x}-1\\
\frac{1+1+\tan^2x}{\sec^2x}-1\\
\frac{1+\sec^2x}{\sec^2x}-1\\
\frac{1}{\sec^2x}+\frac{\sec^2x}{\sec^2x}-1\\
\cos^2x+1-1\\
\cos^2x
\]