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Popular >

cos(2x-1)=0.4

Solución

cos (2 x - 1) = 0.4

Solución

x = πn + \frac{1}{2} + \frac{1.15927 \dots}{2}, x = π + πn + \frac{1}{2} - \frac{1.15927 \dots}{2}

Grados

x = 61.85880 \dots^{\circ} + 18 0^{\circ} n, x = 175.43697 \dots^{\circ} + 18 0^{\circ} n

Pasos de solución

cos (2 x - 1) = 0.4

Aplicar propiedades trigonométricas inversas

cos (2 x - 1) = 0.4

Soluciones generales para

cos (2 x - 1) = 0.4

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

2 x - 1 = arccos (0.4) + 2 πn, 2 x - 1 = 2 π - arccos (0.4) + 2 πn

2 x - 1 = arccos (0.4) + 2 πn, 2 x - 1 = 2 π - arccos (0.4) + 2 πn

Resolver

2 x - 1 = arccos (0.4) + 2 πn : x = πn + \frac{1}{2} + \frac{arccos ( 0.4 )}{2}

2 x - 1 = arccos (0.4) + 2 πn

Mover

1

al lado derecho

2 x - 1 = arccos (0.4) + 2 πn

Sumar

1

a ambos lados

2 x - 1 + 1 = arccos (0.4) + 2 πn + 1

Simplificar

2 x = arccos (0.4) + 2 πn + 1

2 x = arccos (0.4) + 2 πn + 1

Dividir ambos lados entre

2

2 x = arccos (0.4) + 2 πn + 1

Dividir ambos lados entre

2

\frac{2 x}{2} = \frac{arccos ( 0.4 )}{2} + \frac{2 πn}{2} + \frac{1}{2}

Simplificar

\frac{2 x}{2} = \frac{arccos ( 0.4 )}{2} + \frac{2 πn}{2} + \frac{1}{2}

Simplificar

\frac{2 x}{2} : x

\frac{2 x}{2}

Dividir:

\frac{2}{2} = 1

= x

Simplificar

\frac{arccos ( 0.4 )}{2} + \frac{2 πn}{2} + \frac{1}{2} : πn + \frac{1}{2} + \frac{arccos ( 0.4 )}{2}

\frac{arccos ( 0.4 )}{2} + \frac{2 πn}{2} + \frac{1}{2}

Agrupar términos semejantes

= \frac{1}{2} + \frac{2 πn}{2} + \frac{arccos ( 0.4 )}{2}

Dividir:

\frac{2}{2} = 1

= \frac{1}{2} + πn + \frac{arccos ( 0.4 )}{2}

Agrupar términos semejantes

= πn + \frac{1}{2} + \frac{arccos ( 0.4 )}{2}

x = πn + \frac{1}{2} + \frac{arccos ( 0.4 )}{2}

x = πn + \frac{1}{2} + \frac{arccos ( 0.4 )}{2}

x = πn + \frac{1}{2} + \frac{arccos ( 0.4 )}{2}

Resolver

2 x - 1 = 2 π - arccos (0.4) + 2 πn : x = π + πn + \frac{1}{2} - \frac{arccos ( 0.4 )}{2}

2 x - 1 = 2 π - arccos (0.4) + 2 πn

Mover

1

al lado derecho

2 x - 1 = 2 π - arccos (0.4) + 2 πn

Sumar

1

a ambos lados

2 x - 1 + 1 = 2 π - arccos (0.4) + 2 πn + 1

Simplificar

2 x = 2 π - arccos (0.4) + 2 πn + 1

2 x = 2 π - arccos (0.4) + 2 πn + 1

Dividir ambos lados entre

2

2 x = 2 π - arccos (0.4) + 2 πn + 1

Dividir ambos lados entre

2

\frac{2 x}{2} = \frac{2 π}{2} - \frac{arccos ( 0.4 )}{2} + \frac{2 πn}{2} + \frac{1}{2}

Simplificar

\frac{2 x}{2} = \frac{2 π}{2} - \frac{arccos ( 0.4 )}{2} + \frac{2 πn}{2} + \frac{1}{2}

Simplificar

\frac{2 x}{2} : x

\frac{2 x}{2}

Dividir:

\frac{2}{2} = 1

= x

Simplificar

\frac{2 π}{2} - \frac{arccos ( 0.4 )}{2} + \frac{2 πn}{2} + \frac{1}{2} : π + πn + \frac{1}{2} - \frac{arccos ( 0.4 )}{2}

\frac{2 π}{2} - \frac{arccos ( 0.4 )}{2} + \frac{2 πn}{2} + \frac{1}{2}

Agrupar términos semejantes

= \frac{1}{2} + \frac{2 π}{2} + \frac{2 πn}{2} - \frac{arccos ( 0.4 )}{2}

Dividir:

\frac{2}{2} = 1

= \frac{1}{2} + π + πn - \frac{arccos ( 0.4 )}{2}

Agrupar términos semejantes

= π + πn + \frac{1}{2} - \frac{arccos ( 0.4 )}{2}

x = π + πn + \frac{1}{2} - \frac{arccos ( 0.4 )}{2}

x = π + πn + \frac{1}{2} - \frac{arccos ( 0.4 )}{2}

x = π + πn + \frac{1}{2} - \frac{arccos ( 0.4 )}{2}

x = πn + \frac{1}{2} + \frac{arccos ( 0.4 )}{2}, x = π + πn + \frac{1}{2} - \frac{arccos ( 0.4 )}{2}

Mostrar soluciones en forma decimal

x = πn + \frac{1}{2} + \frac{1.15927 \dots}{2}, x = π + πn + \frac{1}{2} - \frac{1.15927 \dots}{2}

Ejemplos populares

cos(3x)cos(x)=2cos(2x)cos(x)

cos (3 x) cos (x) = 2 cos (2 x) cos (x)

0=cos(2x)-cos(x)

0 = cos (2 x) - cos (x)

cos(θ)=0.6015

cos (θ) = 0.6015

sin(θ)=(-4)/5

sin (θ) = \frac{- 4}{5}

solvefor θ,x=5sec(θ)resolver para

θ, x = 5 sec (θ)