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3-2csc(x)=17

Solución

3 - 2 csc (x) = 17

Solución

x = - 0.14334 \dots + 2 πn, x = π + 0.14334 \dots + 2 πn

+1

Grados

x = - 8.21321 \dots^{\circ} + 36 0^{\circ} n, x = 188.21321 \dots^{\circ} + 36 0^{\circ} n

Pasos de solución

3 - 2 csc (x) = 17

Mover

3

al lado derecho

3 - 2 csc (x) = 17

Restar

3

de ambos lados

3 - 2 csc (x) - 3 = 17 - 3

Simplificar

- 2 csc (x) = 14

- 2 csc (x) = 14

Dividir ambos lados entre

- 2

- 2 csc (x) = 14

Dividir ambos lados entre

- 2

\frac{- 2 csc ( x )}{- 2} = \frac{14}{- 2}

Simplificar

\frac{- 2 csc ( x )}{- 2} = \frac{14}{- 2}

Simplificar

\frac{- 2 csc ( x )}{- 2} : csc (x)

\frac{- 2 csc ( x )}{- 2}

Aplicar las propiedades de las fracciones:

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

= \frac{2 csc ( x )}{2}

Dividir:

\frac{2}{2} = 1

= csc (x)

Simplificar

\frac{14}{- 2} : - 7

\frac{14}{- 2}

Aplicar las propiedades de las fracciones:

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

= - \frac{14}{2}

Dividir:

\frac{14}{2} = 7

= - 7

csc (x) = - 7

csc (x) = - 7

csc (x) = - 7

Aplicar propiedades trigonométricas inversas

csc (x) = - 7

Soluciones generales para

csc (x) = - 7

csc (x) = - a \Rightarrow x = arccsc (- a) + 2 πn, x = π + arccsc (a) + 2 πn

x = arccsc (- 7) + 2 πn, x = π + arccsc (7) + 2 πn

x = arccsc (- 7) + 2 πn, x = π + arccsc (7) + 2 πn

Mostrar soluciones en forma decimal

x = - 0.14334 \dots + 2 πn, x = π + 0.14334 \dots + 2 πn

Ejemplos populares

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sin (θ) = \frac{1}{2}, θ

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