English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Trigonometría >

6sqrt(2)+12cos(x-45)=0

Solución

62 + 12 cos (x - 4 5^{\circ}) = 0

Solución

x = 36 0^{\circ} n + 18 0^{\circ}, x = 36 0^{\circ} n + 27 0^{\circ}

Radianes

x = π + 2 πn, x = \frac{3 π}{2} + 2 πn

Pasos de solución

62 + 12 cos (x - 4 5^{\circ}) = 0

Desplace

62

a la derecha

62 + 12 cos (x - 4 5^{\circ}) = 0

Restar

62

de ambos lados

62 + 12 cos (x - 4 5^{\circ}) - 62 = 0 - 62

Simplificar

12 cos (x - 4 5^{\circ}) = - 62

12 cos (x - 4 5^{\circ}) = - 62

Dividir ambos lados entre

12

12 cos (x - 4 5^{\circ}) = - 62

Dividir ambos lados entre

12

\frac{12 cos ( x - 4 5 ^{\circ} )}{12} = \frac{- 6 2}{12}

Simplificar

\frac{12 cos ( x - 4 5 ^{\circ} )}{12} = \frac{- 6 2}{12}

Simplificar

\frac{12 cos ( x - 4 5 ^{\circ} )}{12} : cos (x - 4 5^{\circ})

\frac{12 cos ( x - 4 5 ^{\circ} )}{12}

Dividir:

\frac{12}{12} = 1

= cos (x - 4 5^{\circ})

Simplificar

\frac{- 6 2}{12} : - \frac{2}{2}

\frac{- 6 2}{12}

Aplicar las propiedades de las fracciones:

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

= - \frac{6 2}{12}

Eliminar los terminos comunes:

6

= - \frac{2}{2}

cos (x - 4 5^{\circ}) = - \frac{2}{2}

cos (x - 4 5^{\circ}) = - \frac{2}{2}

cos (x - 4 5^{\circ}) = - \frac{2}{2}

Soluciones generales para

cos (x - 4 5^{\circ}) = - \frac{2}{2}

cos (x)

tabla de valores periódicos con

36 0^{\circ} n

intervalos:

x 0 3 0^{\circ} 4 5^{\circ} 6 0^{\circ} 9 0^{\circ} 12 0^{\circ} 13 5^{\circ} 15 0^{\circ} cos (x) 1 \frac{3}{2} \frac{2}{2} \frac{1}{2} 0 - \frac{1}{2} - \frac{2}{2} - \frac{3}{2} x 18 0^{\circ} 21 0^{\circ} 22 5^{\circ} 24 0^{\circ} 27 0^{\circ} 30 0^{\circ} 31 5^{\circ} 33 0^{\circ} cos (x) - 1 - \frac{3}{2} - \frac{2}{2} - \frac{1}{2} 0 \frac{1}{2} \frac{2}{2} \frac{3}{2}

x - 4 5^{\circ} = 13 5^{\circ} + 36 0^{\circ} n, x - 4 5^{\circ} = 22 5^{\circ} + 36 0^{\circ} n

x - 4 5^{\circ} = 13 5^{\circ} + 36 0^{\circ} n, x - 4 5^{\circ} = 22 5^{\circ} + 36 0^{\circ} n

Resolver

x - 4 5^{\circ} = 13 5^{\circ} + 36 0^{\circ} n : x = 36 0^{\circ} n + 18 0^{\circ}

x - 4 5^{\circ} = 13 5^{\circ} + 36 0^{\circ} n

Desplace

4 5^{\circ}

a la derecha

x - 4 5^{\circ} = 13 5^{\circ} + 36 0^{\circ} n

Sumar

4 5^{\circ}

a ambos lados

x - 4 5^{\circ} + 4 5^{\circ} = 13 5^{\circ} + 36 0^{\circ} n + 4 5^{\circ}

Simplificar

x - 4 5^{\circ} + 4 5^{\circ} = 13 5^{\circ} + 36 0^{\circ} n + 4 5^{\circ}

Simplificar

x - 4 5^{\circ} + 4 5^{\circ} : x

x - 4 5^{\circ} + 4 5^{\circ}

Sumar elementos similares:

- 4 5^{\circ} + 4 5^{\circ} = 0

= x

Simplificar

13 5^{\circ} + 36 0^{\circ} n + 4 5^{\circ} : 36 0^{\circ} n + 18 0^{\circ}

13 5^{\circ} + 36 0^{\circ} n + 4 5^{\circ}

Agrupar términos semejantes

= 36 0^{\circ} n + 4 5^{\circ} + 13 5^{\circ}

Combinar las fracciones usando el mínimo común denominador:

18 0^{\circ}

Aplicar la regla

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

= \frac{18 0 ^{\circ} + 54 0 ^{\circ}}{4}

Sumar elementos similares:

18 0^{\circ} + 54 0^{\circ} = 72 0^{\circ}

= 18 0^{\circ}

Dividir:

\frac{4}{4} = 1

= 18 0^{\circ}

= 36 0^{\circ} n + 18 0^{\circ}

x = 36 0^{\circ} n + 18 0^{\circ}

x = 36 0^{\circ} n + 18 0^{\circ}

x = 36 0^{\circ} n + 18 0^{\circ}

Resolver

x - 4 5^{\circ} = 22 5^{\circ} + 36 0^{\circ} n : x = 36 0^{\circ} n + 27 0^{\circ}

x - 4 5^{\circ} = 22 5^{\circ} + 36 0^{\circ} n

Desplace

4 5^{\circ}

a la derecha

x - 4 5^{\circ} = 22 5^{\circ} + 36 0^{\circ} n

Sumar

4 5^{\circ}

a ambos lados

x - 4 5^{\circ} + 4 5^{\circ} = 22 5^{\circ} + 36 0^{\circ} n + 4 5^{\circ}

Simplificar

x - 4 5^{\circ} + 4 5^{\circ} = 22 5^{\circ} + 36 0^{\circ} n + 4 5^{\circ}

Simplificar

x - 4 5^{\circ} + 4 5^{\circ} : x

x - 4 5^{\circ} + 4 5^{\circ}

Sumar elementos similares:

- 4 5^{\circ} + 4 5^{\circ} = 0

= x

Simplificar

22 5^{\circ} + 36 0^{\circ} n + 4 5^{\circ} : 36 0^{\circ} n + 27 0^{\circ}

22 5^{\circ} + 36 0^{\circ} n + 4 5^{\circ}

Agrupar términos semejantes

= 36 0^{\circ} n + 4 5^{\circ} + 22 5^{\circ}

Combinar las fracciones usando el mínimo común denominador:

27 0^{\circ}

Aplicar la regla

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

= \frac{18 0 ^{\circ} + 90 0 ^{\circ}}{4}

Sumar elementos similares:

18 0^{\circ} + 90 0^{\circ} = 108 0^{\circ}

= 27 0^{\circ}

Eliminar los terminos comunes:

2

= 27 0^{\circ}

= 36 0^{\circ} n + 27 0^{\circ}

x = 36 0^{\circ} n + 27 0^{\circ}

x = 36 0^{\circ} n + 27 0^{\circ}

x = 36 0^{\circ} n + 27 0^{\circ}

x = 36 0^{\circ} n + 18 0^{\circ}, x = 36 0^{\circ} n + 27 0^{\circ}

Gráfica

Ejemplos populares

(2*9.8*l(1-cos(θ)))=0.018

1/(tan(x))=0.5

tan(θ)=-(16.54)/(34.01)

sin(x/7)=(3^{1/2})/2 ,pi<x<3pi

2sec^2(x)-13sec(x)+20=0,2pi<= x<= 4pi