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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

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