File: acot-1.m

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rt2 = sqrt (2);
rt3 = sqrt (3);
v = [pi/6, pi/4, pi/3, pi/2, 2*pi/3, 3*pi/4, 5*pi/6];
x = [rt3, 1, rt3/3, 0, -rt3/3, -1, -rt3];
all (abs (acot (x) - v) < sqrt (eps))