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solvefor x,sec(x+10)=5.759

Solución

resolver para

x, sec (x + 1 0^{\circ}) = 5.759

Solución

x = 1.39627 \dots + 36 0^{\circ} n - 1 0^{\circ}, x = 36 0^{\circ} - 1.39627 \dots + 36 0^{\circ} n - 1 0^{\circ}

+1

radianes

x = 1.39627 \dots - \frac{π}{18} + 2 πn, x = 2 π - 1.39627 \dots - \frac{π}{18} + 2 πn

Pasos de solución

sec (x + 1 0^{\circ}) = 5.759

Aplicar propiedades trigonométricas inversas

sec (x + 1 0^{\circ}) = 5.759

Soluciones generales para

sec (x + 1 0^{\circ}) = 5.759

sec (x) = a \Rightarrow x = arcsec (a) + 36 0^{\circ} n, x = 36 0^{\circ} - arcsec (a) + 36 0^{\circ} n

x + 1 0^{\circ} = arcsec (5.759) + 36 0^{\circ} n, x + 1 0^{\circ} = 36 0^{\circ} - arcsec (5.759) + 36 0^{\circ} n

x + 1 0^{\circ} = arcsec (5.759) + 36 0^{\circ} n, x + 1 0^{\circ} = 36 0^{\circ} - arcsec (5.759) + 36 0^{\circ} n

Resolver

x + 1 0^{\circ} = arcsec (5.759) + 36 0^{\circ} n : x = arcsec (5.759) + 36 0^{\circ} n - 1 0^{\circ}

x + 1 0^{\circ} = arcsec (5.759) + 36 0^{\circ} n

Desplace

1 0^{\circ}

a la derecha

x + 1 0^{\circ} = arcsec (5.759) + 36 0^{\circ} n

Restar

1 0^{\circ}

de ambos lados

x + 1 0^{\circ} - 1 0^{\circ} = arcsec (5.759) + 36 0^{\circ} n - 1 0^{\circ}

Simplificar

x = arcsec (5.759) + 36 0^{\circ} n - 1 0^{\circ}

x = arcsec (5.759) + 36 0^{\circ} n - 1 0^{\circ}

Resolver

x + 1 0^{\circ} = 36 0^{\circ} - arcsec (5.759) + 36 0^{\circ} n : x = 36 0^{\circ} - arcsec (5.759) + 36 0^{\circ} n - 1 0^{\circ}

x + 1 0^{\circ} = 36 0^{\circ} - arcsec (5.759) + 36 0^{\circ} n

Desplace

1 0^{\circ}

a la derecha

x + 1 0^{\circ} = 36 0^{\circ} - arcsec (5.759) + 36 0^{\circ} n

Restar

1 0^{\circ}

de ambos lados

x + 1 0^{\circ} - 1 0^{\circ} = 36 0^{\circ} - arcsec (5.759) + 36 0^{\circ} n - 1 0^{\circ}

Simplificar

x = 36 0^{\circ} - arcsec (5.759) + 36 0^{\circ} n - 1 0^{\circ}

x = 36 0^{\circ} - arcsec (5.759) + 36 0^{\circ} n - 1 0^{\circ}

x = arcsec (5.759) + 36 0^{\circ} n - 1 0^{\circ}, x = 36 0^{\circ} - arcsec (5.759) + 36 0^{\circ} n - 1 0^{\circ}

Mostrar soluciones en forma decimal

x = 1.39627 \dots + 36 0^{\circ} n - 1 0^{\circ}, x = 36 0^{\circ} - 1.39627 \dots + 36 0^{\circ} n - 1 0^{\circ}

Gráfica

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