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March 27, 2017

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How to prove tan4x = 1-8 sin squared of cos squared of x

  • Pre Calc - ,

    I don't think you really meant

    tan(4x) = 1 - sin^2(cos^2(x)), so do you mean

    tan 4x = 1 - 8 sin^2 x cos^2 x?

    Let's see.
    8sin^2 x cos^2 x = 2*sin^2(2x))
    tan(4x) =? 1 - 2sin^2(2x)

    Naah. Check your problem again.

    However, cos(4x) = 1 - 2sin^2(2x))

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