Cotxsecx
| Input |
|---|
| cot(x) sec(x) |
| Result |
| csc(x) |
| Alternate form assuming x is real |
| -(2 sin(x))/(cos(2 x) – 1) |
| Roots |
| (no roots exist) |
| Series expansion at x=0 |
| 1/x + x/6 + (7 x^3)/360 + (31 x^5)/15120 + O(x^6) (Laurent series) |
| Derivative |
| d/dx(cot(x) sec(x)) = -cot(x) csc(x) |
| Indefinite integral |
| integral csc(x) dx = -log(cot(x) + csc(x)) + constant |
| Local maxima |
| max{cot(x) sec(x)} = -1 at x = 2 pi n – pi/2 for integer n |
| Local minima |
| min{cot(x) sec(x)} = 1 at x = 2 pi n + pi/2 for integer n |