# pre calculus 2

use the fundamental trig. Identities to simplify tan^4x+2tan^2x+1

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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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