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Popular >

sin(3x)cos(x)+cos(3x)sin(x)=1

Solución

sin (3 x) cos (x) + cos (3 x) sin (x) = 1

Solución

x = \frac{π}{8} + \frac{πn}{2}

+1

Pasos de solución

sin (3 x) cos (x) + cos (3 x) sin (x) = 1

Re-escribir usando identidades trigonométricas

sin (3 x + x) = 1

Soluciones generales para

sin (3 x + x) = 1

3 x + x = \frac{π}{2} + 2 πn

Resolver

3 x + x = \frac{π}{2} + 2 πn : x = \frac{π}{8} + \frac{πn}{2}

x = \frac{π}{8} + \frac{πn}{2}

Ejemplos populares

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sin (x) = \frac{4}{5}, sin (18 0^{\circ} - x)

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3cos(x)+1=2sin(x)

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