1/secx
| Input |
|---|
| 1/(sec(x)) |
| Result |
| cos(x) |
| Alternate form |
| e^(-i x)/2 + e^(i x)/2 |
| Roots |
| x = pi n – pi/2, n element Z |
| Series expansion at x=0 |
| 1 – x^2/2 + x^4/24 + O(x^6) (Taylor series) |
| Derivative |
| d/dx(1/(sec(x))) = -sin(x) |
| Indefinite integral |
| integral cos(x) dx = sin(x) + constant |
| Global maxima |
| max{1/(sec(x))} = 1 at x = 2 pi n for integer n |
| Definite integral |
| integral_0^(pi/2) cos(x) dx = 1 |
| Definite integral mean square |
| integral_0^(2 pi) (cos^2(x))/(2 pi) dx = 1/2 = 0.5 |