2cotx

2cotx

Input
2 cot(x)
Alternate form assuming x is real
-(2 sin(2 x))/(cos(2 x) – 1)
Roots
x = 1/2 (2 pi n + pi), n element Z
Series expansion at x=0
2/x – (2 x)/3 – (2 x^3)/45 – (4 x^5)/945 + O(x^6)
(Laurent series)
Derivative
d/dx(2 cot(x)) = -2 csc^2(x)
Indefinite integral
integral 2 cot(x) dx = 2 log(sin(x)) + constant

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