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Home » Pregunta: Un educador matemático diseña un acertijo geométrico: en un triángulo rectángulo, si $ \tan \theta = \frac512 $, ¿cuál es $ \sin 2\theta $? - AMAZONAWS

Pregunta: Un educador matemático diseña un acertijo geométrico: en un triángulo rectángulo, si $ \tan \theta = \frac512 $, ¿cuál es $ \sin 2\theta $? - AMAZONAWS

📅 March 11, 2026 👤 scraface
Mar 11, 2026
Pregunta: Un educador matemático diseña un acertijo geométrico: en un triángulo rectángulo, si $ \tan \theta = \frac{5}{12} $, ¿cuál es $ \sin 2\theta $?

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📌 a^2 + b^2 = b^2(x^2 + 1), \quad a^2 - b^2 = b^2(x^2 - 1)
📌 From earlier, $ x + \frac{1}{x} = 5 \Rightarrow x^2 + \frac{1}{x^2} = 23 $, so:

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