Math  /  Trigonometry

QuestionDado cosα=32\cos \alpha=\frac{\sqrt{3}}{2}, calcular Sen2α,Cos2α,Tg2α\operatorname{Sen} 2 \alpha, \operatorname{Cos} 2 \alpha, \operatorname{Tg} 2 \alpha

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Resultados finales:
1. Si Senα=12\operatorname{Sen} \alpha = \frac{1}{2}: - Sen2α=32\operatorname{Sen} 2\alpha = \frac{\sqrt{3}}{2} - Cos2α=12\operatorname{Cos} 2\alpha = \frac{1}{2} - Tg2α=3\operatorname{Tg} 2\alpha = \sqrt{3}
2. Si Senα=12\operatorname{Sen} \alpha = -\frac{1}{2}: - Sen2α=32\operatorname{Sen} 2\alpha = -\frac{\sqrt{3}}{2} - Cos2α=12\operatorname{Cos} 2\alpha = \frac{1}{2} - Tg2α=3\operatorname{Tg} 2\alpha = -\sqrt{3}

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