pre calculus 2
posted by denise .
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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