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Popular >

sin(x+pi/2)=0.6

Solución

sin (x + \frac{π}{2}) = 0.6

Solución

x = 0.64350 \dots + 2 πn - \frac{π}{2}, x = π - 0.64350 \dots + 2 πn - \frac{π}{2}

+1

Grados

x = - 53.13010 \dots^{\circ} + 36 0^{\circ} n, x = 53.13010 \dots^{\circ} + 36 0^{\circ} n

Pasos de solución

sin (x + \frac{π}{2}) = 0.6

Aplicar propiedades trigonométricas inversas

sin (x + \frac{π}{2}) = 0.6

Soluciones generales para

sin (x + \frac{π}{2}) = 0.6

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

x + \frac{π}{2} = arcsin (0.6) + 2 πn, x + \frac{π}{2} = π - arcsin (0.6) + 2 πn

x + \frac{π}{2} = arcsin (0.6) + 2 πn, x + \frac{π}{2} = π - arcsin (0.6) + 2 πn

Resolver

x + \frac{π}{2} = arcsin (0.6) + 2 πn : x = arcsin (0.6) + 2 πn - \frac{π}{2}

x + \frac{π}{2} = arcsin (0.6) + 2 πn

Mover

\frac{π}{2}

al lado derecho

x + \frac{π}{2} = arcsin (0.6) + 2 πn

Restar

\frac{π}{2}

de ambos lados

x + \frac{π}{2} - \frac{π}{2} = arcsin (0.6) + 2 πn - \frac{π}{2}

Simplificar

x = arcsin (0.6) + 2 πn - \frac{π}{2}

x = arcsin (0.6) + 2 πn - \frac{π}{2}

Resolver

x + \frac{π}{2} = π - arcsin (0.6) + 2 πn : x = π - arcsin (0.6) + 2 πn - \frac{π}{2}

x + \frac{π}{2} = π - arcsin (0.6) + 2 πn

Mover

\frac{π}{2}

al lado derecho

x + \frac{π}{2} = π - arcsin (0.6) + 2 πn

Restar

\frac{π}{2}

de ambos lados

x + \frac{π}{2} - \frac{π}{2} = π - arcsin (0.6) + 2 πn - \frac{π}{2}

Simplificar

x = π - arcsin (0.6) + 2 πn - \frac{π}{2}

x = π - arcsin (0.6) + 2 πn - \frac{π}{2}

x = arcsin (0.6) + 2 πn - \frac{π}{2}, x = π - arcsin (0.6) + 2 πn - \frac{π}{2}

Mostrar soluciones en forma decimal

x = 0.64350 \dots + 2 πn - \frac{π}{2}, x = π - 0.64350 \dots + 2 πn - \frac{π}{2}

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