trigoNOmetri
6 sin 105° sin 15°
= -3 × (-2 sin 105° sin 15°)
= -3 (cos (105+15)°/2 - cos (105-15)°/2)
= -3 (cos 60° - cos 45°)
= -3 (1/2 - 1/2 √2)
= -3/2 (1 - √2)
= 3/2 (√2 - 1)
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trigoNOmetri
6 sin 105° sin 15°
= -3 × (-2 sin 105° sin 15°)
= -3 (cos (105+15)°/2 - cos (105-15)°/2)
= -3 (cos 60° - cos 45°)
= -3 (1/2 - 1/2 √2)
= -3/2 (1 - √2)
= 3/2 (√2 - 1)