Cscx 2
| Input |
|---|
| csc(x)×2 |
| Result |
| 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(csc(x)×2) = -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{csc(x) 2} = -2 at x = 2 pi n – pi/2 for integer n |
| Local minima |
| min{csc(x) 2} = 2 at x = 2 pi n + pi/2 for integer n |