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cos(x)=(-1)/(sqrt(10))

Solución

cos (x) = \frac{- 1}{10}

x = 1.89254 \dots + 2 πn, x = - 1.89254 \dots + 2 πn

radianes

x = 1.89254 \dots + 6.28318 \dots n, x = - 1.89254 \dots + 6.28318 \dots n

Pasos de solución

cos (x) = \frac{- 1}{10}

Simplificar

\frac{- 1}{10} : - \frac{10}{10}

\frac{- 1}{10}

Aplicar las propiedades de las fracciones:

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

= - \frac{1}{10}

Racionalizar

- \frac{1}{10} : - \frac{10}{10}

- \frac{1}{10}

Multiplicar por el conjugado

\frac{10}{10}

= - \frac{1 \cdot 10}{10 10}

1 \cdot 10 = 10

1010 = 10

1010

Aplicar las leyes de los exponentes:

a a = a

1010 = 10

= 10

= - \frac{10}{10}

= - \frac{10}{10}

cos (x) = - \frac{10}{10}

Aplicar propiedades trigonométricas inversas

cos (x) = - \frac{10}{10}

Soluciones generales para

cos (x) = - \frac{10}{10}

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

x = arccos (- \frac{10}{10}) + 2 πn, x = - arccos (- \frac{10}{10}) + 2 πn

x = arccos (- \frac{10}{10}) + 2 πn, x = - arccos (- \frac{10}{10}) + 2 πn

Mostrar soluciones en forma decimal

x = 1.89254 \dots + 2 πn, x = - 1.89254 \dots + 2 πn

2 cos^{2} (x) = 1 + sin^{2} (x)

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

- 1 + sin (x) = - 1

\frac{2}{2} = sin (θ)

cos (a) = 1, 8 b = 1, 5 c = 23