Csc^2 – 1
| Input |
|---|
| csc^2(x) – 1 |
| Alternate form assuming x is real |
| (4 sin^2(x))/(cos(2 x) – 1)^2 – 1 |
| Roots |
| x = 1/2 (2 pi n + pi), n element Z |
| Series expansion at x=0 |
| 1/x^2 – 2/3 + x^2/15 + O(x^4) (Laurent series) |
| Derivative |
| d/dx(csc^2(x) – 1) = -2 cot(x) csc^2(x) |
| Indefinite integral |
| integral (-1 + csc^2(x)) dx = -x – cot(x) + constant |