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Popular >

500=538.5cos(x-10)

Solución

500 = 538.5 cos (x - 1 0^{\circ})

Solución

x = 0.38042 \dots + 36 0^{\circ} n + 1 0^{\circ}, x = 36 0^{\circ} - 0.38042 \dots + 36 0^{\circ} n + 1 0^{\circ}

radianes

x = 0.38042 \dots + \frac{π}{18} + 2 πn, x = 2 π - 0.38042 \dots + \frac{π}{18} + 2 πn

Pasos de solución

500 = 538.5 cos (x - 1 0^{\circ})

Intercambiar lados

538.5 cos (x - 1 0^{\circ}) = 500

Multiplicar ambos lados por

10

538.5 cos (x - 1 0^{\circ}) = 500

Para eliminar los puntos decimales, multiplique por 10 por cada digito después del punto decimalHay un digito a la derecha del punto decimal, por lo que debe multiplicar por

10

538.5 cos (x - 1 0^{\circ}) \cdot 10 = 500 \cdot 10

Simplificar

5385 cos (x - 1 0^{\circ}) = 5000

5385 cos (x - 1 0^{\circ}) = 5000

Dividir ambos lados entre

5385

5385 cos (x - 1 0^{\circ}) = 5000

Dividir ambos lados entre

5385

\frac{5385 cos ( x - 1 0 ^{\circ} )}{5385} = \frac{5000}{5385}

Simplificar

cos (x - 1 0^{\circ}) = \frac{1000}{1077}

cos (x - 1 0^{\circ}) = \frac{1000}{1077}

Aplicar propiedades trigonométricas inversas

cos (x - 1 0^{\circ}) = \frac{1000}{1077}

Soluciones generales para

cos (x - 1 0^{\circ}) = \frac{1000}{1077}

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

x - 1 0^{\circ} = arccos (\frac{1000}{1077}) + 36 0^{\circ} n, x - 1 0^{\circ} = 36 0^{\circ} - arccos (\frac{1000}{1077}) + 36 0^{\circ} n

x - 1 0^{\circ} = arccos (\frac{1000}{1077}) + 36 0^{\circ} n, x - 1 0^{\circ} = 36 0^{\circ} - arccos (\frac{1000}{1077}) + 36 0^{\circ} n

Resolver

x - 1 0^{\circ} = arccos (\frac{1000}{1077}) + 36 0^{\circ} n : x = arccos (\frac{1000}{1077}) + 36 0^{\circ} n + 1 0^{\circ}

x - 1 0^{\circ} = arccos (\frac{1000}{1077}) + 36 0^{\circ} n

Desplace

1 0^{\circ}

a la derecha

x - 1 0^{\circ} = arccos (\frac{1000}{1077}) + 36 0^{\circ} n

Sumar

1 0^{\circ}

a ambos lados

x - 1 0^{\circ} + 1 0^{\circ} = arccos (\frac{1000}{1077}) + 36 0^{\circ} n + 1 0^{\circ}

Simplificar

x = arccos (\frac{1000}{1077}) + 36 0^{\circ} n + 1 0^{\circ}

x = arccos (\frac{1000}{1077}) + 36 0^{\circ} n + 1 0^{\circ}

Resolver

x - 1 0^{\circ} = 36 0^{\circ} - arccos (\frac{1000}{1077}) + 36 0^{\circ} n : x = 36 0^{\circ} - arccos (\frac{1000}{1077}) + 36 0^{\circ} n + 1 0^{\circ}

x - 1 0^{\circ} = 36 0^{\circ} - arccos (\frac{1000}{1077}) + 36 0^{\circ} n

Desplace

1 0^{\circ}

a la derecha

x - 1 0^{\circ} = 36 0^{\circ} - arccos (\frac{1000}{1077}) + 36 0^{\circ} n

Sumar

1 0^{\circ}

a ambos lados

x - 1 0^{\circ} + 1 0^{\circ} = 36 0^{\circ} - arccos (\frac{1000}{1077}) + 36 0^{\circ} n + 1 0^{\circ}

Simplificar

x = 36 0^{\circ} - arccos (\frac{1000}{1077}) + 36 0^{\circ} n + 1 0^{\circ}

x = 36 0^{\circ} - arccos (\frac{1000}{1077}) + 36 0^{\circ} n + 1 0^{\circ}

x = arccos (\frac{1000}{1077}) + 36 0^{\circ} n + 1 0^{\circ}, x = 36 0^{\circ} - arccos (\frac{1000}{1077}) + 36 0^{\circ} n + 1 0^{\circ}

Mostrar soluciones en forma decimal

x = 0.38042 \dots + 36 0^{\circ} n + 1 0^{\circ}, x = 36 0^{\circ} - 0.38042 \dots + 36 0^{\circ} n + 1 0^{\circ}

Gráfica

Ejemplos populares

-2cos^2(x)=3(sin(x)-1)

- 2 cos^{2} (x) = 3 (sin (x) - 1)

cos(x)tan(x)=sin(2x)

cos (x) tan (x) = sin (2 x)

2|sin(4θ)|=0

2 ∣ sin (4 θ) ∣ = 0

250sin(75)=393.19sin(45-θ)

250 sin (7 5^{\circ}) = 393.19 sin (4 5^{\circ} - θ)

tan(θ)= 6/(6.71)

tan (θ) = \frac{6}{6.71}