For my trig verification I started off with sec^2x. Next I used the trick of switching everything to either sines or cosines and switched sec to cosine. Once I did that I used another trig identity 1-sin^2x, and substituted that in for cos. On the top of the fraction I put in tanx over tanx. Lastly, I once again changed everything to sines and cosines, and changed it to sinx/cosx over sinx/cosx.
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November 2015
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