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posted by denise on Sunday, July 24, 2011 at 9:18pm.
use the fundamental trig. Identities to simplify tan^4x+2tan^2x+1
tan^4x+2tan^2x+1 = (tan^2x+ 1)(tan^2x+ 1) = (tan^2x+1)^2 but we know tan^2x + 1 = sec^2x so above = sec^4x
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