Category:Sine Form of Lagrange's Sine Identity

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This category contains pages concerning Sine Form of Lagrange's Sine Identity:


\(\ds \sum_{k \mathop = 0}^n \sin k x\) \(=\) \(\ds \sin 0 + \sin x + \sin 2 x + \sin 3 x + \cdots + \sin n x\)
\(\ds \) \(=\) \(\ds \frac {\sin \frac {\paren {n + 1} x} 2 \sin \frac {n x} 2} {\sin \frac x 2}\)

where $x$ is not an integer multiple of $2 \pi$.