English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Trigonometría >

cos((5x}{10})=\frac{sqrt(2))/2

Solución

cos (\frac{5 x}{10}) = \frac{2}{2}

Solución

x = \frac{π}{2} + 4 πn, x = \frac{7 π}{2} + 4 πn

Grados

x = 9 0^{\circ} + 72 0^{\circ} n, x = 63 0^{\circ} + 72 0^{\circ} n

Pasos de solución

cos (\frac{5 x}{10}) = \frac{2}{2}

Soluciones generales para

cos (\frac{5 x}{10}) = \frac{2}{2}

cos (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} cos (x) 1 \frac{3}{2} \frac{2}{2} \frac{1}{2} 0 - \frac{1}{2} - \frac{2}{2} - \frac{3}{2} 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} cos (x) - 1 - \frac{3}{2} - \frac{2}{2} - \frac{1}{2} 0 \frac{1}{2} \frac{2}{2} \frac{3}{2}

\frac{5 x}{10} = \frac{π}{4} + 2 πn, \frac{5 x}{10} = \frac{7 π}{4} + 2 πn

\frac{5 x}{10} = \frac{π}{4} + 2 πn, \frac{5 x}{10} = \frac{7 π}{4} + 2 πn

Resolver

\frac{5 x}{10} = \frac{π}{4} + 2 πn : x = \frac{π}{2} + 4 πn

\frac{5 x}{10} = \frac{π}{4} + 2 πn

Multiplicar ambos lados por

10

\frac{5 x}{10} = \frac{π}{4} + 2 πn

Multiplicar ambos lados por

10

\frac{10 \cdot 5 x}{10} = 10 \cdot \frac{π}{4} + 10 \cdot 2 πn

Simplificar

\frac{10 \cdot 5 x}{10} = 10 \cdot \frac{π}{4} + 10 \cdot 2 πn

Simplificar

\frac{10 \cdot 5 x}{10} : 5 x

\frac{10 \cdot 5 x}{10}

Multiplicar los numeros:

10 \cdot 5 = 50

= \frac{50 x}{10}

Dividir:

\frac{50}{10} = 5

= 5 x

Simplificar

10 \cdot \frac{π}{4} + 10 \cdot 2 πn : \frac{5 π}{2} + 20 πn

10 \cdot \frac{π}{4} + 10 \cdot 2 πn

10 \cdot \frac{π}{4} = \frac{5 π}{2}

10 \cdot \frac{π}{4}

Multiplicar fracciones:

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

= \frac{π 10}{4}

Eliminar los terminos comunes:

2

= \frac{5 π}{2}

10 \cdot 2 πn = 20 πn

10 \cdot 2 πn

Multiplicar los numeros:

10 \cdot 2 = 20

= 20 πn

= \frac{5 π}{2} + 20 πn

5 x = \frac{5 π}{2} + 20 πn

5 x = \frac{5 π}{2} + 20 πn

5 x = \frac{5 π}{2} + 20 πn

Dividir ambos lados entre

5

5 x = \frac{5 π}{2} + 20 πn

Dividir ambos lados entre

5

\frac{5 x}{5} = \frac{\frac{5 π}{2}}{5} + \frac{20 πn}{5}

Simplificar

\frac{5 x}{5} = \frac{\frac{5 π}{2}}{5} + \frac{20 πn}{5}

Simplificar

\frac{5 x}{5} : x

\frac{5 x}{5}

Dividir:

\frac{5}{5} = 1

= x

Simplificar

\frac{\frac{5 π}{2}}{5} + \frac{20 πn}{5} : \frac{π}{2} + 4 πn

\frac{\frac{5 π}{2}}{5} + \frac{20 πn}{5}

\frac{\frac{5 π}{2}}{5} = \frac{π}{2}

\frac{\frac{5 π}{2}}{5}

Aplicar las propiedades de las fracciones:

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

= \frac{5 π}{2 \cdot 5}

Multiplicar los numeros:

2 \cdot 5 = 10

= \frac{5 π}{10}

Eliminar los terminos comunes:

5

= \frac{π}{2}

\frac{20 πn}{5} = 4 πn

\frac{20 πn}{5}

Dividir:

\frac{20}{5} = 4

= 4 πn

= \frac{π}{2} + 4 πn

x = \frac{π}{2} + 4 πn

x = \frac{π}{2} + 4 πn

x = \frac{π}{2} + 4 πn

Resolver

\frac{5 x}{10} = \frac{7 π}{4} + 2 πn : x = \frac{7 π}{2} + 4 πn

\frac{5 x}{10} = \frac{7 π}{4} + 2 πn

Multiplicar ambos lados por

10

\frac{5 x}{10} = \frac{7 π}{4} + 2 πn

Multiplicar ambos lados por

10

\frac{10 \cdot 5 x}{10} = 10 \cdot \frac{7 π}{4} + 10 \cdot 2 πn

Simplificar

\frac{10 \cdot 5 x}{10} = 10 \cdot \frac{7 π}{4} + 10 \cdot 2 πn

Simplificar

\frac{10 \cdot 5 x}{10} : 5 x

\frac{10 \cdot 5 x}{10}

Multiplicar los numeros:

10 \cdot 5 = 50

= \frac{50 x}{10}

Dividir:

\frac{50}{10} = 5

= 5 x

Simplificar

10 \cdot \frac{7 π}{4} + 10 \cdot 2 πn : \frac{35 π}{2} + 20 πn

10 \cdot \frac{7 π}{4} + 10 \cdot 2 πn

10 \cdot \frac{7 π}{4} = \frac{35 π}{2}

10 \cdot \frac{7 π}{4}

Multiplicar fracciones:

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

= \frac{7 π 10}{4}

Multiplicar los numeros:

7 \cdot 10 = 70

= \frac{70 π}{4}

Eliminar los terminos comunes:

2

= \frac{35 π}{2}

10 \cdot 2 πn = 20 πn

10 \cdot 2 πn

Multiplicar los numeros:

10 \cdot 2 = 20

= 20 πn

= \frac{35 π}{2} + 20 πn

5 x = \frac{35 π}{2} + 20 πn

5 x = \frac{35 π}{2} + 20 πn

5 x = \frac{35 π}{2} + 20 πn

Dividir ambos lados entre

5

5 x = \frac{35 π}{2} + 20 πn

Dividir ambos lados entre

5

\frac{5 x}{5} = \frac{\frac{35 π}{2}}{5} + \frac{20 πn}{5}

Simplificar

\frac{5 x}{5} = \frac{\frac{35 π}{2}}{5} + \frac{20 πn}{5}

Simplificar

\frac{5 x}{5} : x

\frac{5 x}{5}

Dividir:

\frac{5}{5} = 1

= x

Simplificar

\frac{\frac{35 π}{2}}{5} + \frac{20 πn}{5} : \frac{7 π}{2} + 4 πn

\frac{\frac{35 π}{2}}{5} + \frac{20 πn}{5}

\frac{\frac{35 π}{2}}{5} = \frac{7 π}{2}

\frac{\frac{35 π}{2}}{5}

Aplicar las propiedades de las fracciones:

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

= \frac{35 π}{2 \cdot 5}

Multiplicar los numeros:

2 \cdot 5 = 10

= \frac{35 π}{10}

Eliminar los terminos comunes:

5

= \frac{7 π}{2}

\frac{20 πn}{5} = 4 πn

\frac{20 πn}{5}

Dividir:

\frac{20}{5} = 4

= 4 πn

= \frac{7 π}{2} + 4 πn

x = \frac{7 π}{2} + 4 πn

x = \frac{7 π}{2} + 4 πn

x = \frac{7 π}{2} + 4 πn

x = \frac{π}{2} + 4 πn, x = \frac{7 π}{2} + 4 πn

Gráfica

Ejemplos populares

2cos(θ)tan(θ)-tan(θ)=0

sqrt(2)=csc(θ)

cos^2(150)-sin^2(150)=tan(x)

3-sin(x)=0

tan(2x-5)=sin^2(30)+sin^2(60)