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Propósito
<p>Que refuerces tus conocimientos de las figuras geométricas (los Triángulos) y su clasificación y análisis la historia y aplicación trigonometría a tu alrededor. </p><p>Que identifiques los triángulos rectángulos y practiques las razones trigonométricas en la resolución de problemas del entorno</p>
Motivación
<p><b>Observando el vídeo, afianzas los conocimientos de la clasificación de los triángulos</b></p><p><a href="https://youtu.be/HpZK-rBDLMI">https://youtu.be/HpZK-rBDLMI</a></p><p>En esta presentación encontrarás un resumen de lo que hemos trabajado y la relación de lo que vamos a desarrollar.</p><p><a href="http://sinapsisclub.sinapsisclub.co/web/uploads/9192/e5bf908c78-trigonometria.pdf">TRIGONOMETRIA</a></p><p>Observa el video sobre una breve historia de la Trigonometría</p><p>Observa el vídeo y mira una de las tantas aplicaciones de las razones trigonométricas.</p><p><a href="https://contenidosparaaprender.colombiaaprende.edu.co/G_10/M/M_G10_U02_L03/M_G10_U02_L03_01_01_01.html">https://contenidosparaaprender.colombiaaprende.edu.co/G_10/M/M_G10_U02_L03/M_G10_U02_L03_01_01_01.html</a><br></p><p><u><a href="https://contenidosparaaprender.colombiaaprende.edu.co/G_10/M/M_G10_U02_L03/M_G10_U02_L03_05_01_01.html">https://contenidosparaaprender.colombiaaprende.edu.co/G_10/M/M_G10_U02_L03/M_G10_U02_L03_05_01_01.html</a></u></p>
Explicación
<p>Observa, analiza y aplica, cada vídeo con ejercicios de solución de triángulo rectángulo aplicando las razones trigonométricas.</p><p>RAZONES TRIGONOMÉTRICAS DE UN ÁNGULO AGUDO Abel ortega</p><p><a href="https://youtu.be/ulrqfi20Czs?list=RDCMUCghjJjYTWQG6bJY1cLONkKw">https://youtu.be/ulrqfi20Czs?list=RDCMUCghjJjYTWQG6bJY1cLONkKw</a></p><p>Razones trigonométricas de un ángulo | Ejemplo 1</p><p><a href="https://youtu.be/Eh2SXkZR9BY">https://youtu.be/Eh2SXkZR9BY</a></p><p>Razones trigonométricas de un ángulo | Ejemplo 2</p><p><a href="https://youtu.be/Qx8n_-Te-wk">https://youtu.be/Qx8n_-Te-wk</a></p><p>TRUCO PARA MEMORIZAR LAS RAZONES TRIGONOMÉTRICAS</p> <p><a href="https://aprende.org/pages.php?r=.portada_course_view&programID=matematicas&tagID=3320&load=3324&n=0">https://aprende.org/pages.php?r=.portada_course_view&programID=matematicas&tagID=3320&load=3324&n=0</a></p>
Ejercicios
<p><b>Practica lo explicado en cada uno de los vídeos, en los siguientes triángulos.</b></p><p><b></b></p><p><img src="data:image/png;base64,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" 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