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Popular >

0=-7.5sin(pi/(10)(t-5))+8

Solución

0 = - 7.5 sin (\frac{π}{10} (t - 5)) + 8

Solución

Sin soluci \overset{o}{ˊ} n para t \in R

Pasos de solución

0 = - 7.5 sin (\frac{π}{10} (t - 5)) + 8

Intercambiar lados

- 7.5 sin (\frac{π}{10} (t - 5)) + 8 = 0

Multiplicar ambos lados por

10

- 7.5 sin (\frac{π}{10} (t - 5)) + 8 = 0

To eliminate decimal points, multiply by 10 for every digit after the decimal pointThere is one digit to the right of the decimal point, therefore multiply by

10

- 7.5 sin (\frac{π}{10} (t - 5)) \cdot 10 + 8 \cdot 10 = 0 \cdot 10

Simplificar

- 75 sin (\frac{π}{10} (t - 5)) + 80 = 0

- 75 sin (\frac{π}{10} (t - 5)) + 80 = 0

Mover

80

al lado derecho

- 75 sin (\frac{π}{10} (t - 5)) + 80 = 0

Restar

80

de ambos lados

- 75 sin (\frac{π}{10} (t - 5)) + 80 - 80 = 0 - 80

Simplificar

- 75 sin (\frac{π}{10} (t - 5)) = - 80

- 75 sin (\frac{π}{10} (t - 5)) = - 80

Dividir ambos lados entre

- 75

- 75 sin (\frac{π}{10} (t - 5)) = - 80

Dividir ambos lados entre

- 75

\frac{- 75 sin ( \frac{π}{10} ( t - 5 ) )}{- 75} = \frac{- 80}{- 75}

Simplificar

\frac{- 75 sin ( \frac{π}{10} ( t - 5 ) )}{- 75} = \frac{- 80}{- 75}

Simplificar

\frac{- 75 sin ( \frac{π}{10} ( t - 5 ) )}{- 75} : sin (\frac{π}{10} (t - 5))

\frac{- 75 sin ( \frac{π}{10} ( t - 5 ) )}{- 75}

Aplicar las propiedades de las fracciones:

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

= \frac{75 sin ( \frac{π}{10} ( t - 5 ) )}{75}

Dividir:

\frac{75}{75} = 1

= sin (\frac{π}{10} (t - 5))

Simplificar

\frac{- 80}{- 75} : \frac{16}{15}

\frac{- 80}{- 75}

Aplicar las propiedades de las fracciones:

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

= \frac{80}{75}

Eliminar los terminos comunes:

5

= \frac{16}{15}

sin (\frac{π}{10} (t - 5)) = \frac{16}{15}

sin (\frac{π}{10} (t - 5)) = \frac{16}{15}

sin (\frac{π}{10} (t - 5)) = \frac{16}{15}

- 1 \leq sin (x) \leq 1

Sin soluci \overset{o}{ˊ} n para t \in R

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tan(θ)= 15/25

tan (θ) = \frac{15}{25}

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tan (φ) = 3

tan(φ)=1

tan (φ) = 1