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Popular >

sec(5x)= 2/(sqrt(3))

Solución

sec (5 x) = \frac{2}{3}

Solución

x = \frac{π}{30} + \frac{2 πn}{5}, x = \frac{11 π}{30} + \frac{2 πn}{5}

+1

radianes

x = \frac{π}{30} + \frac{2 π}{5} n, x = \frac{11 π}{30} + \frac{2 π}{5} n

Pasos de solución

sec (5 x) = \frac{2}{3}

Simplificar

\frac{2}{3} : \frac{2 3}{3}

\frac{2}{3}

Multiplicar por el conjugado

\frac{3}{3}

= \frac{2 3}{3 3}

33 = 3

33

Aplicar las leyes de los exponentes:

a a = a

33 = 3

= 3

= \frac{2 3}{3}

sec (5 x) = \frac{2 3}{3}

Soluciones generales para

sec (5 x) = \frac{2 3}{3}

sec (x)

tabla de valores periódicos con

2 πn

intervalos:

x 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} \frac{π}{2} \frac{2 π}{3} \frac{3 π}{4} \frac{5 π}{6} sec (x) 1 \frac{2 3}{3} 22 Undefined - 2 - 2 - \frac{2 3}{3} x π \frac{7 π}{6} \frac{5 π}{4} \frac{4 π}{3} \frac{3 π}{2} \frac{5 π}{3} \frac{7 π}{4} \frac{11 π}{6} sec (x) - 1 - \frac{2 3}{3} - 2 - 2 Undefined 22 \frac{2 3}{3}

5 x = \frac{π}{6} + 2 πn, 5 x = \frac{11 π}{6} + 2 πn

5 x = \frac{π}{6} + 2 πn, 5 x = \frac{11 π}{6} + 2 πn

Resolver

5 x = \frac{π}{6} + 2 πn : x = \frac{π}{30} + \frac{2 πn}{5}

5 x = \frac{π}{6} + 2 πn

Dividir ambos lados entre

5

5 x = \frac{π}{6} + 2 πn

Dividir ambos lados entre

5

\frac{5 x}{5} = \frac{\frac{π}{6}}{5} + \frac{2 πn}{5}

Simplificar

\frac{5 x}{5} = \frac{\frac{π}{6}}{5} + \frac{2 πn}{5}

Simplificar

\frac{5 x}{5} : x

\frac{5 x}{5}

Dividir:

\frac{5}{5} = 1

= x

Simplificar

\frac{\frac{π}{6}}{5} + \frac{2 πn}{5} : \frac{π}{30} + \frac{2 πn}{5}

\frac{\frac{π}{6}}{5} + \frac{2 πn}{5}

\frac{\frac{π}{6}}{5} = \frac{π}{30}

\frac{\frac{π}{6}}{5}

Aplicar las propiedades de las fracciones:

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

= \frac{π}{6 \cdot 5}

Multiplicar los numeros:

6 \cdot 5 = 30

= \frac{π}{30}

= \frac{π}{30} + \frac{2 πn}{5}

x = \frac{π}{30} + \frac{2 πn}{5}

x = \frac{π}{30} + \frac{2 πn}{5}

x = \frac{π}{30} + \frac{2 πn}{5}

Resolver

5 x = \frac{11 π}{6} + 2 πn : x = \frac{11 π}{30} + \frac{2 πn}{5}

5 x = \frac{11 π}{6} + 2 πn

Dividir ambos lados entre

5

5 x = \frac{11 π}{6} + 2 πn

Dividir ambos lados entre

5

\frac{5 x}{5} = \frac{\frac{11 π}{6}}{5} + \frac{2 πn}{5}

Simplificar

\frac{5 x}{5} = \frac{\frac{11 π}{6}}{5} + \frac{2 πn}{5}

Simplificar

\frac{5 x}{5} : x

\frac{5 x}{5}

Dividir:

\frac{5}{5} = 1

= x

Simplificar

\frac{\frac{11 π}{6}}{5} + \frac{2 πn}{5} : \frac{11 π}{30} + \frac{2 πn}{5}

\frac{\frac{11 π}{6}}{5} + \frac{2 πn}{5}

\frac{\frac{11 π}{6}}{5} = \frac{11 π}{30}

\frac{\frac{11 π}{6}}{5}

Aplicar las propiedades de las fracciones:

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

= \frac{11 π}{6 \cdot 5}

Multiplicar los numeros:

6 \cdot 5 = 30

= \frac{11 π}{30}

= \frac{11 π}{30} + \frac{2 πn}{5}

x = \frac{11 π}{30} + \frac{2 πn}{5}

x = \frac{11 π}{30} + \frac{2 πn}{5}

x = \frac{11 π}{30} + \frac{2 πn}{5}

x = \frac{π}{30} + \frac{2 πn}{5}, x = \frac{11 π}{30} + \frac{2 πn}{5}

Ejemplos populares

cos(a)=-4/9 , pi/2 <= a<= pi

cos (a) = - \frac{4}{9}, \frac{π}{2} \leq a \leq π

20sin^2(x)-26sin(x)+8=0

20 sin^{2} (x) - 26 sin (x) + 8 = 0

1.5=1+0.6cos((pit)/2)

1.5 = 1 + 0.6 cos (\frac{π t}{2})

tan(x)csc(x)=cos(2)

tan (x) csc (x) = cos (2)

solvefor x,z=e^ysin(x)y resolver para

x, z = e^{y} sin (x) y