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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

To eliminate decimal points, multiply by 10 for every digit after the decimal pointThere is one digit to the right of the decimal point, therefore multiply by

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

Mover

1 0^{\circ}

al lado derecho

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

Mover

1 0^{\circ}

al lado derecho

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}

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}