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solvefor x,f=cos(1/(x^2))

Solución

resolver para

x, f = cos (\frac{1}{x ^{2}})

Solución

x = \frac{1}{arccos ( f ) + 2 πn}, x = - \frac{1}{arccos ( f ) + 2 πn}, x = \frac{1}{- arccos ( f ) + 2 πn}, x = - \frac{1}{- arccos ( f ) + 2 πn}

Pasos de solución

f = cos (\frac{1}{x ^{2}})

Intercambiar lados

cos (\frac{1}{x ^{2}}) = f

Aplicar propiedades trigonométricas inversas

cos (\frac{1}{x ^{2}}) = f

Soluciones generales para

cos (\frac{1}{x ^{2}}) = f

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

\frac{1}{x ^{2}} = arccos (f) + 2 πn, \frac{1}{x ^{2}} = - arccos (f) + 2 πn

\frac{1}{x ^{2}} = arccos (f) + 2 πn, \frac{1}{x ^{2}} = - arccos (f) + 2 πn

Resolver

\frac{1}{x ^{2}} = arccos (f) + 2 πn : x = \frac{1}{arccos ( f ) + 2 πn}, x = - \frac{1}{arccos ( f ) + 2 πn}

\frac{1}{x ^{2}} = arccos (f) + 2 πn

Multiplicar ambos lados por

x^{2}

\frac{1}{x ^{2}} = arccos (f) + 2 πn

Multiplicar ambos lados por

x^{2}

\frac{1}{x ^{2}} x^{2} = arccos (f) x^{2} + 2 πn x^{2}

Simplificar

1 = arccos (f) x^{2} + 2 πn x^{2}

1 = arccos (f) x^{2} + 2 πn x^{2}

Resolver

1 = arccos (f) x^{2} + 2 πn x^{2} : x = \frac{1}{arccos ( f ) + 2 πn}, x = - \frac{1}{arccos ( f ) + 2 πn}

1 = arccos (f) x^{2} + 2 πn x^{2}

Intercambiar lados

arccos (f) x^{2} + 2 πn x^{2} = 1

Factorizar

arccos (f) x^{2} + 2 πn x^{2} : x^{2} (arccos (f) + 2 πn)

arccos (f) x^{2} + 2 πn x^{2}

Factorizar el termino común

x^{2}

= x^{2} (arccos (f) + 2 πn)

x^{2} (arccos (f) + 2 πn) = 1

Dividir ambos lados entre

arccos (f) + 2 πn

x^{2} (arccos (f) + 2 πn) = 1

Dividir ambos lados entre

arccos (f) + 2 πn

\frac{x ^{2} ( arccos ( f ) + 2 πn )}{arccos ( f ) + 2 πn} = \frac{1}{arccos ( f ) + 2 πn}

Simplificar

x^{2} = \frac{1}{arccos ( f ) + 2 πn}

x^{2} = \frac{1}{arccos ( f ) + 2 πn}

Para

x^{2} = f (a)

las soluciones son

x = f (a), - f (a)

x = \frac{1}{arccos ( f ) + 2 πn}, x = - \frac{1}{arccos ( f ) + 2 πn}

x = \frac{1}{arccos ( f ) + 2 πn}, x = - \frac{1}{arccos ( f ) + 2 πn}

Resolver

\frac{1}{x ^{2}} = - arccos (f) + 2 πn : x = \frac{1}{- arccos ( f ) + 2 πn}, x = - \frac{1}{- arccos ( f ) + 2 πn}

\frac{1}{x ^{2}} = - arccos (f) + 2 πn

Multiplicar ambos lados por

x^{2}

\frac{1}{x ^{2}} = - arccos (f) + 2 πn

Multiplicar ambos lados por

x^{2}

\frac{1}{x ^{2}} x^{2} = - arccos (f) x^{2} + 2 πn x^{2}

Simplificar

1 = - arccos (f) x^{2} + 2 πn x^{2}

1 = - arccos (f) x^{2} + 2 πn x^{2}

Resolver

1 = - arccos (f) x^{2} + 2 πn x^{2} : x = \frac{1}{- arccos ( f ) + 2 πn}, x = - \frac{1}{- arccos ( f ) + 2 πn}

1 = - arccos (f) x^{2} + 2 πn x^{2}

Intercambiar lados

- arccos (f) x^{2} + 2 πn x^{2} = 1

Factorizar

- arccos (f) x^{2} + 2 πn x^{2} : x^{2} (- arccos (f) + 2 πn)

- arccos (f) x^{2} + 2 πn x^{2}

Factorizar el termino común

x^{2}

= x^{2} (- arccos (f) + 2 πn)

x^{2} (- arccos (f) + 2 πn) = 1

Dividir ambos lados entre

- arccos (f) + 2 πn

x^{2} (- arccos (f) + 2 πn) = 1

Dividir ambos lados entre

- arccos (f) + 2 πn

\frac{x ^{2} ( - arccos ( f ) + 2 πn )}{- arccos ( f ) + 2 πn} = \frac{1}{- arccos ( f ) + 2 πn}

Simplificar

x^{2} = \frac{1}{- arccos ( f ) + 2 πn}

x^{2} = \frac{1}{- arccos ( f ) + 2 πn}

Para

x^{2} = f (a)

las soluciones son

x = f (a), - f (a)

x = \frac{1}{- arccos ( f ) + 2 πn}, x = - \frac{1}{- arccos ( f ) + 2 πn}

x = \frac{1}{- arccos ( f ) + 2 πn}, x = - \frac{1}{- arccos ( f ) + 2 πn}

x = \frac{1}{arccos ( f ) + 2 πn}, x = - \frac{1}{arccos ( f ) + 2 πn}, x = \frac{1}{- arccos ( f ) + 2 πn}, x = - \frac{1}{- arccos ( f ) + 2 πn}

Ejemplos populares

sin(θ)=45

sin (θ) = 45

cot(θ)+2csc(θ)=6

cot (θ) + 2 csc (θ) = 6

sqrt(3)*cos(x)-sin(x)=0

3 \cdot cos (x) - sin (x) = 0

(1+cot(x))/(1+tan(x))=5

\frac{1 + cot ( x )}{1 + tan ( x )} = 5

4=4cos(x)

4 = 4 cos (x)