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There is not much that can be done by way of simplification.
Suppose arccot(y) = tan(x)
then y = cot[tan(x)]
= 1/tan(tan(x))
Now cot is NOT the inverse of tan, but its reciprocal. So the expression in the first of above equation cannot be simplified further. Similarly tan[tan(x)] is NOT tan(x)*tan(x) = tan2(x)
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