General value of sine and cosine – math.stackexchange.com

If \begin{align*} \cos(k \pi)=(-1)^k,\quad \text{and}\quad \sin(k \pi)=0, \end{align*}then can we find generalized expressions for \begin{align*} \cos(\frac{k \pi}{n}),\quad k\in\mathbb{Z}, n\in \...

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