proof-that-sin-1sin-2-sin-n-sin-pi-n-sin-2pi-n-sin-n-1-pi-n-for-n-N-0-1-

Question Number 178 by 123456 last updated on 14/Dec/14

proof that

∣ \sin 1 \sin 2 \dots \sin n ∣⩽ \sin \frac{π}{n} \sin \frac{2 π}{n} \dots \sin \frac{(n - 1) π}{n}

for \forall n \in N ∖ {0, 1}