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March 30, 2017

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

  • pre calculus 2 - ,

    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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