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    Working with De Moivre's theorem

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    If tan(A) = 1/2, find the value of tan(5A)

    Hint: Use De Moivre's theorem.

    © BrainMass Inc. brainmass.com February 24, 2021, 2:12 pm ad1c9bdddf
    https://brainmass.com/math/calculus-and-analysis/working-with-de-moivre-s-theorem-7056

    Solution Preview

    Using De Moivre's theorem we can write,

    Cos(5A)+i Sin(5A) = {Cos(A)+i Sin(A)}^5

    Now expand the right hand side of this equation,

    = Cos^5(A)-i 5Cos^4(A) Sin(A)-10Cos^3(A) Sin^2(A)-10 i Cos^2(A) ...

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