1-secx
| Input |
|---|
| 1 – sec(x) |
| Alternate form assuming x is real |
| 1 – (2 cos(x))/(cos(2 x) + 1) |
| Roots |
| x = 2 pi n, n element Z |
| Series expansion at x=0 |
| -x^2/2 – (5 x^4)/24 – (61 x^6)/720 + O(x^7) (Taylor series) |
| Derivative |
| d/dx(1 – sec(x)) = tan(x) (-sec(x)) |
| Indefinite integral |
| integral (1 – sec(x)) dx = x + log(cos(x/2) – sin(x/2)) – log(sin(x/2) + cos(x/2)) + constant |
| Local maxima |
| max{1 – sec(x)} = 0 at x = 2 pi n for integer n |
| Local minima |
| min{1 – sec(x)} = 2 at x = 2 pi n + pi for integer n |