The first step is to change 1/sec^2x to cos^2x as well as change secx on the bottom to 1/cosx. The top of the fraction can then be changed to sin^2x and the bottom can be changed to sin^2x/cosx. This is also the same as sin^2x multiplied by cosx/sin^2x because dividing is the same as multiplying by the reciprocal. Both sin^2x cancel out, and you are left with cosx/1, or cosx. During this project, I learned that you can use common algebra knowledge as well as the knowledge of identities to verify trigonometric equations.