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10.5^2=6.7^2+7.8^2-26.77.8*cos(x)

Solución

10. 5^{2} = 6. 7^{2} + 7. 8^{2} - 2 \cdot 6.7 \cdot 7.8 \cdot cos (x)

Solución

x = 1.61405 \dots + 2 πn, x = - 1.61405 \dots + 2 πn

Grados

x = 92.47854 \dots^{\circ} + 36 0^{\circ} n, x = - 92.47854 \dots^{\circ} + 36 0^{\circ} n

Pasos de solución

10. 5^{2} = 6. 7^{2} + 7. 8^{2} - 2 \cdot 6.7 \cdot 7.8 cos (x)

Intercambiar lados

6. 7^{2} + 7. 8^{2} - 2 \cdot 6.7 \cdot 7.8 cos (x) = 10. 5^{2}

Multiplicar los numeros:

2 \cdot 6.7 \cdot 7.8 = 104.52

6. 7^{2} + 7. 8^{2} - 104.52 cos (x) = 10. 5^{2}

6. 7^{2} = 44.89

44.89 + 7. 8^{2} - 104.52 cos (x) = 10. 5^{2}

7. 8^{2} = 60.84

44.89 + 60.84 - 104.52 cos (x) = 10. 5^{2}

Sumar:

44.89 + 60.84 = 105.73

- 104.52 cos (x) + 105.73 = 10. 5^{2}

10. 5^{2} = 110.25

- 104.52 cos (x) + 105.73 = 110.25

Multiplicar ambos lados por

100

- 104.52 cos (x) + 105.73 = 110.25

To eliminate decimal points, multiply by 10 for every digit after the decimal pointThere are

2

digits to the right of the decimal point, therefore multiply by

100

- 104.52 cos (x) \cdot 100 + 105.73 \cdot 100 = 110.25 \cdot 100

Simplificar

- 10452 cos (x) + 10573 = 11025

- 10452 cos (x) + 10573 = 11025

Mover

10573

al lado derecho

- 10452 cos (x) + 10573 = 11025

Restar

10573

de ambos lados

- 10452 cos (x) + 10573 - 10573 = 11025 - 10573

Simplificar

- 10452 cos (x) = 452

- 10452 cos (x) = 452

Dividir ambos lados entre

- 10452

- 10452 cos (x) = 452

Dividir ambos lados entre

- 10452

\frac{- 10452 cos ( x )}{- 10452} = \frac{452}{- 10452}

Simplificar

\frac{- 10452 cos ( x )}{- 10452} = \frac{452}{- 10452}

Simplificar

\frac{- 10452 cos ( x )}{- 10452} : cos (x)

\frac{- 10452 cos ( x )}{- 10452}

Aplicar las propiedades de las fracciones:

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

= \frac{10452 cos ( x )}{10452}

Dividir:

\frac{10452}{10452} = 1

= cos (x)

Simplificar

\frac{452}{- 10452} : - \frac{113}{2613}

\frac{452}{- 10452}

Aplicar las propiedades de las fracciones:

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

= - \frac{452}{10452}

Eliminar los terminos comunes:

4

= - \frac{113}{2613}

cos (x) = - \frac{113}{2613}

cos (x) = - \frac{113}{2613}

cos (x) = - \frac{113}{2613}

Aplicar propiedades trigonométricas inversas

cos (x) = - \frac{113}{2613}

Soluciones generales para

cos (x) = - \frac{113}{2613}

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

x = arccos (- \frac{113}{2613}) + 2 πn, x = - arccos (- \frac{113}{2613}) + 2 πn

x = arccos (- \frac{113}{2613}) + 2 πn, x = - arccos (- \frac{113}{2613}) + 2 πn

Mostrar soluciones en forma decimal

x = 1.61405 \dots + 2 πn, x = - 1.61405 \dots + 2 πn

Ejemplos populares

3sinh(x)-cosh(x)=1

3 sinh (x) - cosh (x) = 1

tan(45+x/3)=0.58

tan (4 5^{\circ} + \frac{x}{3}) = 0.58

r=a(1+sin(x))

r = a (1 + sin (x))

cos(2x)-sin^2(x)-1=3sin(x)

cos (2 x) - sin^{2} (x) - 1 = 3 sin (x)

tan(Θ)=1.4,180<,Θ<270

tan (Θ) = 1.4, 18 0^{\circ} <, Θ < 27 0^{\circ}

10.5^2=6.7^2+7.8^2-2*6.7*7.8*cos(x)

Solución

Solución

Ejemplos populares

10.5^2=6.7^2+7.8^2-26.77.8*cos(x)