2cscx
Input |
---|
2 csc(x) |
Alternate form assuming x is real |
-(4 sin(x))/(cos(2 x) – 1) |
Roots |
(no roots exist) |
Series expansion at x=0 |
2/x + x/3 + (7 x^3)/180 + (31 x^5)/7560 + O(x^6) (Laurent series) |
Derivative |
d/dx(2 csc(x)) = -2 cot(x) csc(x) |
Indefinite integral |
integral 2 csc(x) dx = 2 log(sin(x/2)) – 2 log(cos(x/2)) + constant |
Local maxima |
max{2 csc(x)} = -2 at x = 2 pi n – pi/2 for integer n |
Local minima |
min{2 csc(x)} = 2 at x = 2 pi n + pi/2 for integer n |