trig

If z=1+i, then the multiplicative inverse of z esqaire is:

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  1. What does z esqaire mean?

    According to Wikipedia,
    "In mathematics, a multiplicative inverse or reciprocal for a number x, denoted by 1/x or x^−1, is a number which when multiplied by x yields the multiplicative identity, 1."

    Accordingly, the multiplicative inverse of 1 + i is
    1/(1+i) = (1-i)/[1-i)(1+i)]
    = (1-i)/2

    If you want the multiplicative inverse of z^2, where z = 1+i,
    that would be 1/z^2 = 1/(1+i)^2

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