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Popular >

3cos((pix)/(12))+8.4=7

Solución

3 cos (\frac{π x}{12}) + 8.4 = 7

Solución

x = \frac{12 \cdot 2.05631 \dots}{π} + 24 n, x = - \frac{12 \cdot 2.05631 \dots}{π} + 24 n

Grados

x = 450.03214 \dots^{\circ} + 1375.09870 \dots^{\circ} n, x = - 450.03214 \dots^{\circ} + 1375.09870 \dots^{\circ} n

Pasos de solución

3 cos (\frac{π x}{12}) + 8.4 = 7

Mover

8.4

al lado derecho

3 cos (\frac{π x}{12}) + 8.4 = 7

Restar

8.4

de ambos lados

3 cos (\frac{π x}{12}) + 8.4 - 8.4 = 7 - 8.4

Simplificar

3 cos (\frac{π x}{12}) = - 1.4

3 cos (\frac{π x}{12}) = - 1.4

Dividir ambos lados entre

3

3 cos (\frac{π x}{12}) = - 1.4

Dividir ambos lados entre

3

\frac{3 cos ( \frac{π x}{12} )}{3} = \frac{- 1.4}{3}

Simplificar

\frac{3 cos ( \frac{π x}{12} )}{3} = \frac{- 1.4}{3}

Simplificar

\frac{3 cos ( \frac{π x}{12} )}{3} : cos (\frac{π x}{12})

\frac{3 cos ( \frac{π x}{12} )}{3}

Dividir:

\frac{3}{3} = 1

= cos (\frac{π x}{12})

Simplificar

\frac{- 1.4}{3} : - 0.46666 \dots

\frac{- 1.4}{3}

Aplicar las propiedades de las fracciones:

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

= - \frac{1.4}{3}

Dividir:

\frac{1.4}{3} = 0.46666 \dots

= - 0.46666 \dots

cos (\frac{π x}{12}) = - 0.46666 \dots

cos (\frac{π x}{12}) = - 0.46666 \dots

cos (\frac{π x}{12}) = - 0.46666 \dots

Aplicar propiedades trigonométricas inversas

cos (\frac{π x}{12}) = - 0.46666 \dots

Soluciones generales para

cos (\frac{π x}{12}) = - 0.46666 \dots

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

\frac{π x}{12} = arccos (- 0.46666 \dots) + 2 πn, \frac{π x}{12} = - arccos (- 0.46666 \dots) + 2 πn

\frac{π x}{12} = arccos (- 0.46666 \dots) + 2 πn, \frac{π x}{12} = - arccos (- 0.46666 \dots) + 2 πn

Resolver

\frac{π x}{12} = arccos (- 0.46666 \dots) + 2 πn : x = \frac{12 arccos ( - 0.46666 \dots )}{π} + 24 n

\frac{π x}{12} = arccos (- 0.46666 \dots) + 2 πn

Multiplicar ambos lados por

12

\frac{π x}{12} = arccos (- 0.46666 \dots) + 2 πn

Multiplicar ambos lados por

12

\frac{12 π x}{12} = 12 arccos (- 0.46666 \dots) + 12 \cdot 2 πn

Simplificar

π x = 12 arccos (- 0.46666 \dots) + 24 πn

π x = 12 arccos (- 0.46666 \dots) + 24 πn

Dividir ambos lados entre

π

π x = 12 arccos (- 0.46666 \dots) + 24 πn

Dividir ambos lados entre

π

\frac{π x}{π} = \frac{12 arccos ( - 0.46666 \dots )}{π} + \frac{24 πn}{π}

Simplificar

x = \frac{12 arccos ( - 0.46666 \dots )}{π} + 24 n

x = \frac{12 arccos ( - 0.46666 \dots )}{π} + 24 n

Resolver

\frac{π x}{12} = - arccos (- 0.46666 \dots) + 2 πn : x = - \frac{12 arccos ( - 0.46666 \dots )}{π} + 24 n

\frac{π x}{12} = - arccos (- 0.46666 \dots) + 2 πn

Multiplicar ambos lados por

12

\frac{π x}{12} = - arccos (- 0.46666 \dots) + 2 πn

Multiplicar ambos lados por

12

\frac{12 π x}{12} = - 12 arccos (- 0.46666 \dots) + 12 \cdot 2 πn

Simplificar

π x = - 12 arccos (- 0.46666 \dots) + 24 πn

π x = - 12 arccos (- 0.46666 \dots) + 24 πn

Dividir ambos lados entre

π

π x = - 12 arccos (- 0.46666 \dots) + 24 πn

Dividir ambos lados entre

π

\frac{π x}{π} = - \frac{12 arccos ( - 0.46666 \dots )}{π} + \frac{24 πn}{π}

Simplificar

x = - \frac{12 arccos ( - 0.46666 \dots )}{π} + 24 n

x = - \frac{12 arccos ( - 0.46666 \dots )}{π} + 24 n

x = \frac{12 arccos ( - 0.46666 \dots )}{π} + 24 n, x = - \frac{12 arccos ( - 0.46666 \dots )}{π} + 24 n

Mostrar soluciones en forma decimal

x = \frac{12 \cdot 2.05631 \dots}{π} + 24 n, x = - \frac{12 \cdot 2.05631 \dots}{π} + 24 n

Ejemplos populares

sin(x)= 1/(sqrt(6)),tan(x)

sin (x) = \frac{1}{6}, tan (x)

2sin^2(x)+sin(x)-2=0

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

cos(θ)=(25)/(sqrt(714))

cos (θ) = \frac{25}{714}

cot^2(a)=1

cot^{2} (a) = 1

3sec^2(x)-4=0,0<= x<2pi

3 sec^{2} (x) - 4 = 0, 0 \leq x < 2 π