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

Explain alittle bit, not just do the steps please.

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  1. (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)

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