cot(t) is undefined when sin(t) = 0, i.e. when t = k*pi, k is any integer.
The only integer k for which pi/2 <= k*pi <= 3pi/2 is k=1. So t = pi.
sin(pi) = 0, cos(pi) = -1, tan(pi) = 0, cot(pi) is undefined, sec(pi) = -1, csc(pi) is undefined.
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