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Popular >

(0.59.8l(1-cos(θ)))=0.018

Solución

(0.5 \cdot 9.8 \cdot l (1 - cos (θ))) = 0.018

Solución

θ = arccos (- \frac{9 - 2450 l}{2450 l}) + 2 πn, θ = - arccos (- \frac{9 - 2450 l}{2450 l}) + 2 πn

Pasos de solución

(0.5 \cdot 9.8 l (1 - cos (θ))) = 0.018

Multiplicar ambos lados por

1000

0.5 \cdot 9.8 l (1 - cos (θ)) = 0.018

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

3

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

1000

0.5 \cdot 9.8 l (1 - cos (θ)) \cdot 1000 = 0.018 \cdot 1000

Simplificar

4900 l (1 - cos (θ)) = 18

4900 l (1 - cos (θ)) = 18

Dividir ambos lados entre

4900 l; l \neq = 0

4900 l (1 - cos (θ)) = 18

Dividir ambos lados entre

4900 l; l \neq = 0

\frac{4900 l ( 1 - cos ( θ ) )}{4900 l} = \frac{18}{4900 l}; l \neq = 0

Simplificar

1 - cos (θ) = \frac{9}{2450 l}; l \neq = 0

1 - cos (θ) = \frac{9}{2450 l}; l \neq = 0

Mover

1

al lado derecho

1 - cos (θ) = \frac{9}{2450 l}; l \neq = 0

Restar

1

de ambos lados

1 - cos (θ) - 1 = \frac{9}{2450 l} - 1; l \neq = 0

Simplificar

- cos (θ) = \frac{9}{2450 l} - 1; l \neq = 0

- cos (θ) = \frac{9}{2450 l} - 1; l \neq = 0

Dividir ambos lados entre

- 1; l \neq = 0

- cos (θ) = \frac{9}{2450 l} - 1; l \neq = 0

Dividir ambos lados entre

- 1; l \neq = 0

\frac{- cos ( θ )}{- 1} = \frac{\frac{9}{2450 l}}{- 1} - \frac{1}{- 1}; l \neq = 0

Simplificar

\frac{- cos ( θ )}{- 1} = \frac{\frac{9}{2450 l}}{- 1} - \frac{1}{- 1}

Simplificar

\frac{- cos ( θ )}{- 1} : cos (θ)

\frac{- cos ( θ )}{- 1}

Aplicar las propiedades de las fracciones:

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

= \frac{cos ( θ )}{1}

Aplicar la regla

\frac{a}{1} = a

= cos (θ)

Simplificar

\frac{\frac{9}{2450 l}}{- 1} - \frac{1}{- 1} : - \frac{9 - 2450 l}{2450 l}

\frac{\frac{9}{2450 l}}{- 1} - \frac{1}{- 1}

Aplicar la regla

\frac{a}{c} \pm \frac{b}{c} = \frac{a \pm b}{c}

= \frac{\frac{9}{2450 l} - 1}{- 1}

Aplicar las propiedades de las fracciones:

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

= - \frac{\frac{9}{2450 l} - 1}{1}

Simplificar

\frac{9}{2450 l} - 1

en una fracción:

\frac{9 - 2450 l}{2450 l}

\frac{9}{2450 l} - 1

Convertir a fracción:

1 = \frac{1 \cdot 2450 l}{2450 l}

= \frac{9}{2450 l} - \frac{1 \cdot 2450 l}{2450 l}

Ya que los denominadores son iguales, combinar las fracciones:

\frac{a}{c} \pm \frac{b}{c} = \frac{a \pm b}{c}

= \frac{9 - 1 \cdot 2450 l}{2450 l}

Multiplicar los numeros:

1 \cdot 2450 = 2450

= \frac{9 - 2450 l}{2450 l}

= - \frac{\frac{- 2450 l + 9}{2450 l}}{1}

Aplicar las propiedades de las fracciones:

\frac{a}{1} = a

= - \frac{- 2450 l + 9}{2450 l}

cos (θ) = - \frac{9 - 2450 l}{2450 l}; l \neq = 0

cos (θ) = - \frac{9 - 2450 l}{2450 l}; l \neq = 0

cos (θ) = - \frac{9 - 2450 l}{2450 l}; l \neq = 0

Aplicar propiedades trigonométricas inversas

cos (θ) = - \frac{9 - 2450 l}{2450 l}

Soluciones generales para

cos (θ) = - \frac{9 - 2450 l}{2450 l}

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

θ = arccos (- \frac{9 - 2450 l}{2450 l}) + 2 πn, θ = - arccos (- \frac{9 - 2450 l}{2450 l}) + 2 πn

θ = arccos (- \frac{9 - 2450 l}{2450 l}) + 2 πn, θ = - arccos (- \frac{9 - 2450 l}{2450 l}) + 2 πn

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sec(θ)=(sqrt(5))/2

sec (θ) = \frac{5}{2}

4cos(x-1)=0

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cos (θ) = \frac{5}{7}, cos (\frac{θ}{2}), 0^{\circ} < θ < 9 0^{\circ}

sin(x)+4=cos(x)+3

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(0.5*9.8*l(1-cos(θ)))=0.018

Solución

Solución

Ejemplos populares

(0.59.8l(1-cos(θ)))=0.018