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Posted by mike on Wednesday, April 25, 2012 at 11:26am.

(sec6x+sin2x)/(sin6x-sin2x)=tan4xcot2x

I don't think the identity holds. Plug in x = pi/6. Graph (sec6x+sin2x)/(sin6x-sin2x)-tan4xcot2x and you don't get zero.

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