Identidades Trigonometricas 2

El maravilloso mundo de Trigonometría

Las matemáticas son el alfabeto con el cual Dios ha escrito el Universo. Galileo Galilei

Demostración de una identidad: ,[object Object],[object Object],[object Object],[object Object]

Recíprocas: ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

sen x tan x = -------- csc x cos x ctg x = ------- sen x ,[object Object],Por cociente

Ejercicios con Identidades Trigonométricas

Demostración: ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],L.q.q.d Sen x = Sen x

Simplificación ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Tipo Condicional ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Eliminación Angular ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

"Ecuaciones Trigonométricas"

Definición: ,[object Object],[object Object],[object Object],[object Object]

[object Object],[object Object],[object Object],[object Object]

Soluciones Generales: ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

"Tipos de Ecuaciones Trigonométricas"

[object Object],[object Object],[object Object],F.T. (Kx) = a

Ejemplo: ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

[object Object],[object Object],[object Object],[object Object],[object Object]

Ejemplo: ,[object Object],[object Object],[object Object],[object Object],En la ecuación tenemos: 2 · 2 Sen x Cos x – 1 = 0 2 Sen 2x – 1 = 0 Sen 2x = 1 2 2x = {30º ; 150º ; 390º ; …} x = {15º ; 75º ; 195º ; …} Solución principal Sen 2 x = 2 Sen x Cos x x = 15º

Recomendaciones Generales para resolver una E.T. ,[object Object],[object Object]

[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Identidades Trigonometricas 2

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Identidades Trigonometricas 2