Cómo resolver la ecuación trigonométrica 2senx - 1 = 0, x ∈ [0, 2π)
En este vídeo resolvemos paso a paso una ecuación trigonométrica sencilla con seno: 2senx − 1 = 0 con la condición: x ∈ [0, 2π). Buscamos todas las soluciones dentro de una vuelta completa.Primero despejamos el seno: 2senx = 1, es decir: senx = 1/2
Después usamos los ángulos notables y la circunferencia trigonométrica para localizar en qué puntos del intervalo [0, 2π) el seno vale 1/2.
La clave está en recordar que el seno es positivo en el primer y segundo cuadrante. Por eso las soluciones son:
x = π/6 y x = 5π/6
Una explicación breve, clara y directa para entender cómo resolver ecuaciones trigonométricas básicas dentro de un intervalo.
📌 Contenido del vídeo:
00:01 Presentación de la ecuación
1:06 Despejamos el seno
2:05 Reconocemos el valor notable
3:55 Buscamos la primera solución
5:45 Segunda solución
7:56 Conclusiones finales
✅ Solución:
x = π/6, 5π/6
#matematicas #trigonometria #ecuacionestrigonometricas #seno #matematicasconjuan
Más ecuaciones trigonométricas aquí:
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