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xpresar en grados el valor de los siguientes ángulc \( \begin{array}{lllll}\text { l. } \frac{5 \pi}{2} & \text { b. } \frac{4 \pi}{6} & \text { c. } \frac{-2 \pi}{7} & \text { d. } \frac{\pi}{6} & \text { e. } \frac{7 \pi}{4} \\ \text { lota: recuerde entregar un trabajo bien presentad }\end{array} \)

Ask by Warren Williams. in Colombia
Feb 24,2025

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Answer

1. 5π/2 = 450° 2. 4π/6 = 120° 3. -2π/7 ≈ -51.43° 4. π/6 = 30° 5. 7π/4 = 315°

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Beyond the Answer

Para convertir radianes a grados, se utiliza la fórmula: \( \text{grados} = \text{radianes} \times \left( \frac{180}{\pi} \right) \). Para \( \frac{5 \pi}{2} \), esto equivale a \( 5 \times \frac{180}{2} = 450^\circ \). Para \( \frac{4 \pi}{6} \), simplificando da \( \frac{2 \pi}{3} \) que se convierte en \( 120^\circ \). Para \( \frac{-2 \pi}{7} \), se multiplica por \( \frac{180}{\pi} \) para obtener aproximadamente \( -51.43^\circ \). Para \( \frac{\pi}{6} \), eso es igual a \( 30^\circ \). Finalmente, \( \frac{7 \pi}{4} \) se convierte en \( 315^\circ \). Así que los valores son: a. \( 450^\circ \) b. \( 120^\circ \) c. \( -51.43^\circ \) d. \( 30^\circ \) e. \( 315^\circ \) Organiza tu trabajo con claridad y asegúrate de incluir todas las conversiones. ¡Buen trabajo!

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