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Popular >

3sec(x)=-6

Solución

3 sec (x) = - 6

Solución

x = \frac{2 π}{3} + 2 πn, x = \frac{4 π}{3} + 2 πn

+1

Grados

x = 12 0^{\circ} + 36 0^{\circ} n, x = 24 0^{\circ} + 36 0^{\circ} n

Pasos de solución

3 sec (x) = - 6

Dividir ambos lados entre

3

3 sec (x) = - 6

Dividir ambos lados entre

3

\frac{3 sec ( x )}{3} = \frac{- 6}{3}

Simplificar

\frac{3 sec ( x )}{3} = \frac{- 6}{3}

Simplificar

\frac{3 sec ( x )}{3} : sec (x)

\frac{3 sec ( x )}{3}

Dividir:

\frac{3}{3} = 1

= sec (x)

Simplificar

\frac{- 6}{3} : - 2

\frac{- 6}{3}

Aplicar las propiedades de las fracciones:

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

= - \frac{6}{3}

Dividir:

\frac{6}{3} = 2

= - 2

sec (x) = - 2

sec (x) = - 2

sec (x) = - 2

Soluciones generales para

sec (x) = - 2

sec (x)

tabla de valores periódicos con

2 πn

intervalos:

x 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} \frac{π}{2} \frac{2 π}{3} \frac{3 π}{4} \frac{5 π}{6} sec (x) 1 \frac{2 3}{3} 22 Undefined - 2 - 2 - \frac{2 3}{3} x π \frac{7 π}{6} \frac{5 π}{4} \frac{4 π}{3} \frac{3 π}{2} \frac{5 π}{3} \frac{7 π}{4} \frac{11 π}{6} sec (x) - 1 - \frac{2 3}{3} - 2 - 2 Undefined 22 \frac{2 3}{3}

x = \frac{2 π}{3} + 2 πn, x = \frac{4 π}{3} + 2 πn

x = \frac{2 π}{3} + 2 πn, x = \frac{4 π}{3} + 2 πn

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