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Popular >

cos^2(4x)-sin^2(4x)=cos(b)

Solución

cos^{2} (4 x) - sin^{2} (4 x) = cos (b)

Solución

x = \frac{arccos ( cos ( b ) )}{8} + \frac{πn}{4}, x = - \frac{arccos ( cos ( b ) )}{8} + \frac{πn}{4}

Pasos de solución

cos^{2} (4 x) - sin^{2} (4 x) = cos (b)

Re-escribir usando identidades trigonométricas

cos (2 \cdot 4 x) = cos (b)

Aplicar propiedades trigonométricas inversas

2 \cdot 4 x = arccos (cos (b)) + 2 πn, 2 \cdot 4 x = - arccos (cos (b)) + 2 πn

Resolver

2 \cdot 4 x = arccos (cos (b)) + 2 πn : x = \frac{arccos ( cos ( b ) )}{8} + \frac{πn}{4}

Resolver

2 \cdot 4 x = - arccos (cos (b)) + 2 πn : x = - \frac{arccos ( cos ( b ) )}{8} + \frac{πn}{4}

x = \frac{arccos ( cos ( b ) )}{8} + \frac{πn}{4}, x = - \frac{arccos ( cos ( b ) )}{8} + \frac{πn}{4}

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