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Popular >

cos(x)=(sqrt(34))/(sqrt(70))

Solución

cos (x) = \frac{34}{70}

Solución

x = 0.79968 \dots + 2 πn, x = 2 π - 0.79968 \dots + 2 πn

+1

radianes

x = 0.79968 \dots + 6.28318 \dots n, x = 5.48349 \dots + 6.28318 \dots n

Pasos de solución

cos (x) = \frac{34}{70}

Simplificar

\frac{34}{70} : \frac{17}{35}

\frac{34}{70}

Factorizar

34 : 217

Factorizar

34 = 2 \cdot 17

= 2 \cdot 17

Aplicar las leyes de los exponentes:

= 217

Factorizar

70 : 257

Factorizar

70 = 2 \cdot 5 \cdot 7

= 2 \cdot 5 \cdot 7

Aplicar las leyes de los exponentes:

= 257

= \frac{2 17}{2 5 7}

Eliminar los terminos comunes:

2

= \frac{17}{5 7}

Simplificar

57 : 35

57

Aplicar las leyes de los exponentes:

a b = a \cdot b

57 = 5 \cdot 7

= 5 \cdot 7

Multiplicar los numeros:

5 \cdot 7 = 35

= 35

= \frac{17}{35}

Combinar los exponentes similares:

\frac{x}{y} = \frac{x}{y}

= \frac{17}{35}

Aplicar propiedades trigonométricas inversas

cos (x) = \frac{17}{35}

Soluciones generales para

cos (x) = \frac{17}{35}

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

x = arccos (\frac{17}{35}) + 2 πn, x = 2 π - arccos (\frac{17}{35}) + 2 πn

x = arccos (\frac{17}{35}) + 2 πn, x = 2 π - arccos (\frac{17}{35}) + 2 πn

Mostrar soluciones en forma decimal

x = 0.79968 \dots + 2 πn, x = 2 π - 0.79968 \dots + 2 πn

Ejemplos populares

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tan (x) = \frac{- 2 2}{2}

arctan(0.1x)+arctan(0.01x)=39

arctan (0.1 x) + arctan (0.01 x) = 3 9^{\circ}