sin(nx) - Wolfram|Alpha

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Input

sin(n x)

Values

n |
0 | 0
1 | sin(x)
2 | sin(2 x)
3 | sin(3 x)

Root

n!=0, x = (π m)/n, m element Z

Series expansion at x=0

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

Big‐O notation »

Derivative

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

Indefinite integral

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

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