C tn

C tn

Input
c tan(x)
Alternate form assuming c and x are real
(c sin(2 x))/(cos(2 x) + 1)
Root
cos(x)!=0, c = 0
Roots
x = pi n, n element Z
Integer root
c = 0, pi n – (3 pi)/2
Root for the variable x
x = pi c_1
Series expansion at x=0
c x + (c x^3)/3 + (2 c x^5)/15 + O(x^6)
(Taylor series)
Derivative
(d)/(dx)(c tan(x)) = c sec^2(x)
Indefinite integral
integral c tan(x) dx = -c log(cos(x)) + constant

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