Prove that if n is a positive integer, then $\left|\frac{sin(\frac{n\theta}{2})}{sin(\frac{\theta}{2})}\right|\le n$ for $(θ ≠ 0, ±2π, ±4π, . . .)$
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1For said $\theta$, $\sin\frac{\theta}{2} =0$. – Vishu Mar 21 '21 at 14:56
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Apologies I should write not equal – The game Mar 21 '21 at 14:59
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Inequality would still hold: $=n$. – vitamin d Mar 21 '21 at 15:02