dontaviangreer2673 dontaviangreer2673

14-09-2022
Mathematics

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Use a double-angle identity to find the exact value of sin 120° .

Respuesta :

Medunno13 Medunno13

14-09-2022

Answer:

[tex]\frac{\sqrt{3}}{2}[/tex]

Step-by-step explanation:

[tex]\sin 2x=2\sin x \cos x \\ \\ \sin 120^{\circ}=2\sin 60^{\circ} \cos 60^{\circ} \\ \\ =2(\sqrt{3}/2)(1/2) \\ \\ =\frac{\sqrt{3}}{2}[/tex]

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