Автор - sladkovyuri04

 frac{4 sin(20) sin(50) sin(70) }{ sin(80) }
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Ответ

Автор - igundane

frac{4sin(20^{circ})sin(50^{circ})sin(70^{circ})}{sin(80^{circ})}=frac{4sin(20^{circ})sin(50^{circ})sin(90^{circ}-20^{circ})}{sin(80^{circ})}=\=frac{2sin(40^{circ})sin(50^{circ})}{sin(80^{circ})}=frac{2sin(90^{circ}-40^{circ})sin(40^{circ})}{sin(80^{circ})}=frac{2cos(40^{circ})sin(40^{circ})}{sin(80^{circ})}=1

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