Simplify: (1/secx+sin^2x/cosx)cosx.

Explain alittle bit, not just do the steps please.

(1/secx+sin^2x/cosx)cosx

= (cosx + sin^2x/cosx)cosx by def of secx
= cos^2x + sin^2x I multiplied each term by cosx, in the second term the cosx at the bottom canceled.
= 1 (by definition)