es

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

400=812.25+400-1140cos(a)

Solución

400 = 812.25 + 400 - 1140 cos (a)

Solución

a = 0.77774 \dots + 2 πn, a = 2 π - 0.77774 \dots + 2 πn

+1

Grados

a = 44.56131 \dots^{\circ} + 36 0^{\circ} n, a = 315.43868 \dots^{\circ} + 36 0^{\circ} n

Pasos de solución

400 = 812.25 + 400 - 1140 cos (a)

Intercambiar lados

812.25 + 400 - 1140 cos (a) = 400

Restar

400

de ambos lados

812.25 + 400 - 1140 cos (a) - 400 = 400 - 400

Simplificar

812.25 - 1140 cos (a) = 0

Mover

812.25

al lado derecho

812.25 - 1140 cos (a) = 0

Restar

812.25

de ambos lados

812.25 - 1140 cos (a) - 812.25 = 0 - 812.25

Simplificar

- 1140 cos (a) = - 812.25

- 1140 cos (a) = - 812.25

Dividir ambos lados entre

- 1140

- 1140 cos (a) = - 812.25

Dividir ambos lados entre

- 1140

\frac{- 1140 cos ( a )}{- 1140} = \frac{- 812.25}{- 1140}

Simplificar

\frac{- 1140 cos ( a )}{- 1140} = \frac{- 812.25}{- 1140}

Simplificar

\frac{- 1140 cos ( a )}{- 1140} : cos (a)

\frac{- 1140 cos ( a )}{- 1140}

Aplicar las propiedades de las fracciones:

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

= \frac{1140 cos ( a )}{1140}

Dividir:

\frac{1140}{1140} = 1

= cos (a)

Simplificar

\frac{- 812.25}{- 1140} : 0.7125

\frac{- 812.25}{- 1140}

Aplicar las propiedades de las fracciones:

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

= \frac{812.25}{1140}

Dividir:

\frac{812.25}{1140} = 0.7125

= 0.7125

cos (a) = 0.7125

cos (a) = 0.7125

cos (a) = 0.7125

Aplicar propiedades trigonométricas inversas

cos (a) = 0.7125

Soluciones generales para

cos (a) = 0.7125

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

a = arccos (0.7125) + 2 πn, a = 2 π - arccos (0.7125) + 2 πn

a = arccos (0.7125) + 2 πn, a = 2 π - arccos (0.7125) + 2 πn

Mostrar soluciones en forma decimal

a = 0.77774 \dots + 2 πn, a = 2 π - 0.77774 \dots + 2 πn

Ejemplos populares

3cos(θ)=sin(θ)

3 cos (θ) = sin (θ)

-4cos^{(2)}(x)+4sqrt(2)sin(x)+6=0

- 4 cos^{(2)} (x) + 42 sin (x) + 6 = 0

3tan^2(x)-10tan(x)+7=0

3 tan^{2} (x) - 10 tan (x) + 7 = 0

cos(x)=-(sqrt(3))/3

cos (x) = - \frac{3}{3}

1/2 cot(x)=cos(x)

\frac{1}{2} cot (x) = cos (x)