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Popular >

-2=(16)/pi cos(4*x)

Solución

- 2 = \frac{16}{π} cos (4 \cdot x)

Solución

x = \frac{1.97436 \dots}{4} + \frac{πn}{2}, x = - \frac{1.97436 \dots}{4} + \frac{πn}{2}

+1

Grados

x = 28.28063 \dots^{\circ} + 9 0^{\circ} n, x = - 28.28063 \dots^{\circ} + 9 0^{\circ} n

Pasos de solución

- 2 = \frac{16}{π} cos (4 x)

Intercambiar lados

\frac{16}{π} cos (4 x) = - 2

Multiplicar ambos lados por

π

\frac{16}{π} cos (4 x) = - 2

Multiplicar ambos lados por

π

\frac{16}{π} cos (4 x) π = (- 2) π

Simplificar

16 cos (4 x) = - 2 π

16 cos (4 x) = - 2 π

Dividir ambos lados entre

16

16 cos (4 x) = - 2 π

Dividir ambos lados entre

16

\frac{16 cos ( 4 x )}{16} = \frac{- 2 π}{16}

Simplificar

\frac{16 cos ( 4 x )}{16} = \frac{- 2 π}{16}

Simplificar

\frac{16 cos ( 4 x )}{16} : cos (4 x)

\frac{16 cos ( 4 x )}{16}

Dividir:

\frac{16}{16} = 1

= cos (4 x)

Simplificar

\frac{- 2 π}{16} : - \frac{π}{8}

\frac{- 2 π}{16}

Aplicar las propiedades de las fracciones:

\frac{- a}{b} = - \frac{a}{b}

= - \frac{2 π}{16}

Eliminar los terminos comunes:

2

= - \frac{π}{8}

cos (4 x) = - \frac{π}{8}

cos (4 x) = - \frac{π}{8}

cos (4 x) = - \frac{π}{8}

Aplicar propiedades trigonométricas inversas

cos (4 x) = - \frac{π}{8}

Soluciones generales para

cos (4 x) = - \frac{π}{8}

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

4 x = arccos (- \frac{π}{8}) + 2 πn, 4 x = - arccos (- \frac{π}{8}) + 2 πn

4 x = arccos (- \frac{π}{8}) + 2 πn, 4 x = - arccos (- \frac{π}{8}) + 2 πn

Resolver

4 x = arccos (- \frac{π}{8}) + 2 πn : x = \frac{arccos ( - \frac{π}{8} )}{4} + \frac{πn}{2}

4 x = arccos (- \frac{π}{8}) + 2 πn

Dividir ambos lados entre

4

4 x = arccos (- \frac{π}{8}) + 2 πn

Dividir ambos lados entre

4

\frac{4 x}{4} = \frac{arccos ( - \frac{π}{8} )}{4} + \frac{2 πn}{4}

Simplificar

x = \frac{arccos ( - \frac{π}{8} )}{4} + \frac{πn}{2}

x = \frac{arccos ( - \frac{π}{8} )}{4} + \frac{πn}{2}

Resolver

4 x = - arccos (- \frac{π}{8}) + 2 πn : x = - \frac{arccos ( - \frac{π}{8} )}{4} + \frac{πn}{2}

4 x = - arccos (- \frac{π}{8}) + 2 πn

Dividir ambos lados entre

4

4 x = - arccos (- \frac{π}{8}) + 2 πn

Dividir ambos lados entre

4

\frac{4 x}{4} = - \frac{arccos ( - \frac{π}{8} )}{4} + \frac{2 πn}{4}

Simplificar

x = - \frac{arccos ( - \frac{π}{8} )}{4} + \frac{πn}{2}

x = - \frac{arccos ( - \frac{π}{8} )}{4} + \frac{πn}{2}

x = \frac{arccos ( - \frac{π}{8} )}{4} + \frac{πn}{2}, x = - \frac{arccos ( - \frac{π}{8} )}{4} + \frac{πn}{2}

Mostrar soluciones en forma decimal

x = \frac{1.97436 \dots}{4} + \frac{πn}{2}, x = - \frac{1.97436 \dots}{4} + \frac{πn}{2}

Ejemplos populares

-(1/2)^2+cos(θ^2)=1

- (\frac{1}{2})^{2} + cos (θ^{2}) = 1

0 = 2 cos (2 θ)

2sec^2(x)+tan(x)=8

2 sec^{2} (x) + tan (x) = 8

tan(θ)=(sqrt(48))/8

tan (θ) = \frac{48}{8}

-2cos(2x)=2sin(x)

- 2 cos (2 x) = 2 sin (x)