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Popular >

4674.04= 5/(3cos(x))*2804.42

Solución

4674.04 = \frac{5}{3 cos ( x )} \cdot 2804.42

Solución

x = 0.00168 \dots + 2 πn, x = 2 π - 0.00168 \dots + 2 πn

Grados

x = 0.09677 \dots^{\circ} + 36 0^{\circ} n, x = 359.90322 \dots^{\circ} + 36 0^{\circ} n

Pasos de solución

4674.04 = \frac{5}{3 cos ( x )} \cdot 2804.42

Intercambiar lados

\frac{5}{3 cos ( x )} \cdot 2804.42 = 4674.04

Multiplicar ambos lados por

100

\frac{5}{3 cos ( x )} \cdot 2804.42 = 4674.04

To eliminate decimal points, multiply by 10 for every digit after the decimal pointThere are

2

digits to the right of the decimal point, therefore multiply by

100

\frac{5}{3 cos ( x )} \cdot 2804.42 \cdot 100 = 4674.04 \cdot 100

Simplificar

\frac{1402210}{3 cos ( x )} = 467404

\frac{1402210}{3 cos ( x )} = 467404

Multiplicar ambos lados por

cos (x)

\frac{1402210}{3 cos ( x )} = 467404

Multiplicar ambos lados por

cos (x)

\frac{1402210}{3 cos ( x )} cos (x) = 467404 cos (x)

Simplificar

\frac{1402210}{3} = 467404 cos (x)

\frac{1402210}{3} = 467404 cos (x)

Intercambiar lados

467404 cos (x) = \frac{1402210}{3}

Dividir ambos lados entre

467404

467404 cos (x) = \frac{1402210}{3}

Dividir ambos lados entre

467404

\frac{467404 cos ( x )}{467404} = \frac{\frac{1402210}{3}}{467404}

Simplificar

\frac{467404 cos ( x )}{467404} = \frac{\frac{1402210}{3}}{467404}

Simplificar

\frac{467404 cos ( x )}{467404} : cos (x)

\frac{467404 cos ( x )}{467404}

Dividir:

\frac{467404}{467404} = 1

= cos (x)

Simplificar

\frac{\frac{1402210}{3}}{467404} : \frac{701105}{701106}

\frac{\frac{1402210}{3}}{467404}

Aplicar las propiedades de las fracciones:

\frac{\frac{b}{c}}{a} = \frac{b}{c \cdot a}

= \frac{1402210}{3 \cdot 467404}

Multiplicar los numeros:

3 \cdot 467404 = 1402212

= \frac{1402210}{1402212}

Eliminar los terminos comunes:

2

= \frac{701105}{701106}

cos (x) = \frac{701105}{701106}

cos (x) = \frac{701105}{701106}

cos (x) = \frac{701105}{701106}

Verificar las soluciones

Encontrar los puntos no definidos (singularidades):

cos (x) = 0

Tomar el(los) denominador(es) de

\frac{5}{3 cos ( x )} 2804.42

y comparar con cero

Resolver

3 cos (x) = 0 : cos (x) = 0

3 cos (x) = 0

Dividir ambos lados entre

3

3 cos (x) = 0

Dividir ambos lados entre

3

\frac{3 cos ( x )}{3} = \frac{0}{3}

Simplificar

cos (x) = 0

cos (x) = 0

Los siguientes puntos no están definidos

cos (x) = 0

Combinar los puntos no definidos con las soluciones:

cos (x) = \frac{701105}{701106}

Aplicar propiedades trigonométricas inversas

cos (x) = \frac{701105}{701106}

Soluciones generales para

cos (x) = \frac{701105}{701106}

cos (x) = a \Rightarrow x = arccos (a) + 2 πn, x = 2 π - arccos (a) + 2 πn

x = arccos (\frac{701105}{701106}) + 2 πn, x = 2 π - arccos (\frac{701105}{701106}) + 2 πn

x = arccos (\frac{701105}{701106}) + 2 πn, x = 2 π - arccos (\frac{701105}{701106}) + 2 πn

Mostrar soluciones en forma decimal

x = 0.00168 \dots + 2 πn, x = 2 π - 0.00168 \dots + 2 πn

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