sin(x - Wolfram|Alpha

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Input

sin(x)

Plot

Plot

Roots

x = π n, n element Z

Integer root

x = 0

Series expansion at x=0

x - x^3/6 + x^5/120 + O(x^6)
(Taylor series)

Big‐O notation »

Derivative

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

Indefinite integral

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

Global minima

min{sin(x)} = -1 at x = 2 π n - π/2 for integer n

min{sin(x)} = -1 at x = 2 π n + (3 π)/2 for integer n

Global maxima

max{sin(x)} = 1 at x = 2 π n + π/2 for integer n

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