math

Given z=cos*(delta)+j sin*(delta),show that z^n+1/(z^n)=2cos*n*(delta)

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  1. ,where n is a real number.

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  2. to avoid having to use Greek letters, I'll just use x. I think you mean

    z = cos(x) + j sin(x)

    De Moivre's formula says that
    z^n + 1/z^n
    = z^n + z^-n
    = cos(nx) + j sin(nx) + cos(-nx) + j sin(-nx)
    = cos(nx) + j sin(nx) + cos(nx) - j sin(nx)
    = 2cos(nx)

    cos(x) is a function, not multiplication. Lose the *

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