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Popular Trigonometría >

sin(x-pi/3)=0.4

Solución

sin (x - \frac{π}{3}) = 0.4

Solución

x = 0.41151 \dots + 2 πn + \frac{π}{3}, x = π - 0.41151 \dots + 2 πn + \frac{π}{3}

+1

Grados

x = 83.57817 \dots^{\circ} + 36 0^{\circ} n, x = 216.42182 \dots^{\circ} + 36 0^{\circ} n

Pasos de solución

sin (x - \frac{π}{3}) = 0.4

Aplicar propiedades trigonométricas inversas

sin (x - \frac{π}{3}) = 0.4

Soluciones generales para

sin (x - \frac{π}{3}) = 0.4

sin (x) = a \Rightarrow x = arcsin (a) + 2 πn, x = π - arcsin (a) + 2 πn

x - \frac{π}{3} = arcsin (0.4) + 2 πn, x - \frac{π}{3} = π - arcsin (0.4) + 2 πn

x - \frac{π}{3} = arcsin (0.4) + 2 πn, x - \frac{π}{3} = π - arcsin (0.4) + 2 πn

Resolver

x - \frac{π}{3} = arcsin (0.4) + 2 πn : x = arcsin (0.4) + 2 πn + \frac{π}{3}

x - \frac{π}{3} = arcsin (0.4) + 2 πn

Desplace

\frac{π}{3}

a la derecha

x - \frac{π}{3} = arcsin (0.4) + 2 πn

Sumar

\frac{π}{3}

a ambos lados

x - \frac{π}{3} + \frac{π}{3} = arcsin (0.4) + 2 πn + \frac{π}{3}

Simplificar

x = arcsin (0.4) + 2 πn + \frac{π}{3}

x = arcsin (0.4) + 2 πn + \frac{π}{3}

Resolver

x - \frac{π}{3} = π - arcsin (0.4) + 2 πn : x = π - arcsin (0.4) + 2 πn + \frac{π}{3}

x - \frac{π}{3} = π - arcsin (0.4) + 2 πn

Desplace

\frac{π}{3}

a la derecha

x - \frac{π}{3} = π - arcsin (0.4) + 2 πn

Sumar

\frac{π}{3}

a ambos lados

x - \frac{π}{3} + \frac{π}{3} = π - arcsin (0.4) + 2 πn + \frac{π}{3}

Simplificar

x = π - arcsin (0.4) + 2 πn + \frac{π}{3}

x = π - arcsin (0.4) + 2 πn + \frac{π}{3}

x = arcsin (0.4) + 2 πn + \frac{π}{3}, x = π - arcsin (0.4) + 2 πn + \frac{π}{3}

Mostrar soluciones en forma decimal

x = 0.41151 \dots + 2 πn + \frac{π}{3}, x = π - 0.41151 \dots + 2 πn + \frac{π}{3}

Gráfica

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