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Popular >

sin(0.6)-sin(0.6+x)=0.95

Solución

sin (0.6) - sin (0.6 + x) = 0.95

Solución

x = - 0.39559 \dots + 2 πn - 0.6, x = π + 0.39559 \dots + 2 πn - 0.6

Grados

x = - 57.04340 \dots^{\circ} + 36 0^{\circ} n, x = 168.28847 \dots^{\circ} + 36 0^{\circ} n

Pasos de solución

sin (0.6) - sin (0.6 + x) = 0.95

sin (0.6) = sin (\frac{3}{5})

sin (0.6)

sin (\frac{3}{5}) - sin (0.6 + x) = 0.95

Mover

sin (\frac{3}{5})

al lado derecho

sin (\frac{3}{5}) - sin (0.6 + x) = 0.95

Restar

sin (\frac{3}{5})

de ambos lados

sin (\frac{3}{5}) - sin (0.6 + x) - sin (\frac{3}{5}) = 0.95 - sin (\frac{3}{5})

Simplificar

- sin (0.6 + x) = 0.95 - sin (\frac{3}{5})

- sin (0.6 + x) = 0.95 - sin (\frac{3}{5})

Dividir ambos lados entre

- 1

- sin (0.6 + x) = 0.95 - sin (\frac{3}{5})

Dividir ambos lados entre

- 1

\frac{- sin ( 0.6 + x )}{- 1} = \frac{0.95}{- 1} - \frac{sin ( \frac{3}{5} )}{- 1}

Simplificar

\frac{- sin ( 0.6 + x )}{- 1} = \frac{0.95}{- 1} - \frac{sin ( \frac{3}{5} )}{- 1}

Simplificar

\frac{- sin ( 0.6 + x )}{- 1} : sin (0.6 + x)

\frac{- sin ( 0.6 + x )}{- 1}

Aplicar las propiedades de las fracciones:

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

= \frac{sin ( 0.6 + x )}{1}

Aplicar la regla

\frac{a}{1} = a

= sin (0.6 + x)

Simplificar

\frac{0.95}{- 1} - \frac{sin ( \frac{3}{5} )}{- 1} : - 0.95 + sin (\frac{3}{5})

\frac{0.95}{- 1} - \frac{sin ( \frac{3}{5} )}{- 1}

Aplicar la regla

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

= \frac{0.95 - sin ( \frac{3}{5} )}{- 1}

Aplicar las propiedades de las fracciones:

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

= - \frac{0.95 - sin ( \frac{3}{5} )}{1}

Aplicar las propiedades de las fracciones:

\frac{a}{1} = a

\frac{0.95 - sin ( \frac{3}{5} )}{1} = 0.95 - sin (\frac{3}{5})

= - (0.95 - sin (\frac{3}{5}))

Poner los parentesis

= - (0.95) - (- sin (\frac{3}{5}))

Aplicar las reglas de los signos

- (- a) = a, - (a) = - a

= - 0.95 + sin (\frac{3}{5})

sin (0.6 + x) = - 0.95 + sin (\frac{3}{5})

sin (0.6 + x) = - 0.95 + sin (\frac{3}{5})

sin (0.6 + x) = - 0.95 + sin (\frac{3}{5})

Aplicar propiedades trigonométricas inversas

sin (0.6 + x) = - 0.95 + sin (\frac{3}{5})

Soluciones generales para

sin (0.6 + x) = - 0.95 + sin (\frac{3}{5})

sin (x) = - a \Rightarrow x = arcsin (- a) + 2 πn, x = π + arcsin (a) + 2 πn

0.6 + x = arcsin (- 0.95 + sin (\frac{3}{5})) + 2 πn, 0.6 + x = π + arcsin (0.95 - sin (\frac{3}{5})) + 2 πn

0.6 + x = arcsin (- 0.95 + sin (\frac{3}{5})) + 2 πn, 0.6 + x = π + arcsin (0.95 - sin (\frac{3}{5})) + 2 πn

Resolver

0.6 + x = arcsin (- 0.95 + sin (\frac{3}{5})) + 2 πn : x = arcsin (- 0.95 + sin (\frac{3}{5})) + 2 πn - 0.6

0.6 + x = arcsin (- 0.95 + sin (\frac{3}{5})) + 2 πn

Mover

0.6

al lado derecho

0.6 + x = arcsin (- 0.95 + sin (\frac{3}{5})) + 2 πn

Restar

0.6

de ambos lados

0.6 + x - 0.6 = arcsin (- 0.95 + sin (\frac{3}{5})) + 2 πn - 0.6

Simplificar

x = arcsin (- 0.95 + sin (\frac{3}{5})) + 2 πn - 0.6

x = arcsin (- 0.95 + sin (\frac{3}{5})) + 2 πn - 0.6

Resolver

0.6 + x = π + arcsin (0.95 - sin (\frac{3}{5})) + 2 πn : x = π + arcsin (0.95 - sin (\frac{3}{5})) + 2 πn - 0.6

0.6 + x = π + arcsin (0.95 - sin (\frac{3}{5})) + 2 πn

Mover

0.6

al lado derecho

0.6 + x = π + arcsin (0.95 - sin (\frac{3}{5})) + 2 πn

Restar

0.6

de ambos lados

0.6 + x - 0.6 = π + arcsin (0.95 - sin (\frac{3}{5})) + 2 πn - 0.6

Simplificar

x = π + arcsin (0.95 - sin (\frac{3}{5})) + 2 πn - 0.6

x = π + arcsin (0.95 - sin (\frac{3}{5})) + 2 πn - 0.6

x = arcsin (- 0.95 + sin (\frac{3}{5})) + 2 πn - 0.6, x = π + arcsin (0.95 - sin (\frac{3}{5})) + 2 πn - 0.6

Mostrar soluciones en forma decimal

x = - 0.39559 \dots + 2 πn - 0.6, x = π + 0.39559 \dots + 2 πn - 0.6

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