Calculate cotangent

Calculate cotangent

Input
cot(x)
Alternate form assuming x is real
-(sin(2 x))/(cos(2 x) – 1)
Roots
x = 1/2 (2 pi n + pi), n element Z
Series expansion at x=0
1/x – x/3 – x^3/45 – (2 x^5)/945 + O(x^6)
(Laurent series)
Derivative
d/dx(cot(x)) = -csc^2(x)
Indefinite integral
integral cot(x) dx = log(sin(x)) + constant

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