Show that roots of (1+z)^n = (1-z)^n are va;ues of i*tan(r*PI/n) where r = 0, 1, 2, .. (n-1).

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Show that the roots of equation `(1+z)^n=(1-z)^n are i tan (rpi)/n, r=0,1,2,,,(n-1)` excluding t... Show that the roots of equation `(1+z)^n=(1-z)^n are i tan (rpi)/n, r=0,1,2,,,(n-1)` excluding t...
Compute z^n + 1/z^n when z+1/z = sqrt(3). Compute z^n + 1/z^n when z+1/z = sqrt(3).
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