sinx+cosx

Input

sin(x) + cos(x)

Series expansion at x=0

1 + x - x^2/2 - x^3/6 + x^4/24 + O(x^5)
(Taylor series)

Derivative

d/dx(sin(x) + cos(x)) = cos(x) - sin(x)

Indefinite integral

integral(sin(x) + cos(x)) dx = sin(x) - cos(x) + constant

Global maxima

max{sin(x) + cos(x)} = sqrt(2) at x = 2 π n + π/4 for integer n