2 cota

2 cota

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

Leave a Reply

Your email address will not be published. Required fields are marked *