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Si n = o<br />
x = 3<br />
π<br />
SOLUCION PRINCIPAL<br />
TRIGONOMETRÍA<br />
π 2π<br />
n = 1 x = π - = 3 3<br />
SOLUCIONES PARTICULARES<br />
π 7π<br />
n = 2 x = 2π+ = 3 3<br />
2. Resolver: Cos 2x = - 2<br />
2<br />
θ G<br />
3π<br />
2x = 2nπ ± 4<br />
θ P = arc Cos<br />
⎛ ⎞<br />
⎜<br />
3 − ⎟<br />
⎝ 2<br />
⎠<br />
3π<br />
→ θ P = 4<br />
x = nπ ±<br />
3π<br />
8<br />
SOLUCION GENERAL<br />
3π<br />
Si n = 0 x = 8<br />
SOLUCION PRINCIPAL<br />
3π<br />
x = - 8<br />
3π 11π<br />
n = 1 x = π + =<br />
8 8<br />
SOLUCIONES PARTICULARES<br />
3π 5π<br />
x = π − =<br />
8 8<br />
3. Resolver:<br />
⎛ π ⎞<br />
Tg ⎜3 x + ⎟ = 3<br />
⎝ 4 ⎠<br />
θ G θP = 3<br />
π<br />
3x + 4<br />
π = nπ + 3<br />
π<br />
3x = nπ + 12<br />
π<br />
x =<br />
nπ<br />
π<br />
+<br />
3 36<br />
CUESTIONARIO DESARROLLADO