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Popular >

-3/2 =-1/2 sec(x)

Solución

- \frac{3}{2} = - \frac{1}{2} sec (x)

Solución

x = 1.23095 \dots + 2 πn, x = 2 π - 1.23095 \dots + 2 πn

+1

Grados

x = 70.52877 \dots^{\circ} + 36 0^{\circ} n, x = 289.47122 \dots^{\circ} + 36 0^{\circ} n

Pasos de solución

- \frac{3}{2} = - \frac{1}{2} sec (x)

Intercambiar lados

- \frac{1}{2} sec (x) = - \frac{3}{2}

Multiplicar ambos lados por

- 2

- \frac{1}{2} sec (x) = - \frac{3}{2}

Multiplicar ambos lados por

- 2

(- \frac{1}{2} sec (x)) (- 2) = (- \frac{3}{2}) (- 2)

Simplificar

(- \frac{1}{2} sec (x)) (- 2) = (- \frac{3}{2}) (- 2)

Simplificar

(- \frac{1}{2} sec (x)) (- 2) : sec (x)

(- \frac{1}{2} sec (x)) (- 2)

Quitar los parentesis:

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

= \frac{1}{2} sec (x) \cdot 2

Multiplicar fracciones:

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

= \frac{1 \cdot 2}{2} sec (x)

Eliminar los terminos comunes:

2

= sec (x) \cdot 1

Multiplicar:

sec (x) \cdot 1 = sec (x)

= sec (x)

Simplificar

(- \frac{3}{2}) (- 2) : 3

(- \frac{3}{2}) (- 2)

Quitar los parentesis:

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

= \frac{3}{2} \cdot 2

Multiplicar fracciones:

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

= \frac{3 \cdot 2}{2}

Eliminar los terminos comunes:

2

= 3

sec (x) = 3

sec (x) = 3

sec (x) = 3

Aplicar propiedades trigonométricas inversas

sec (x) = 3

Soluciones generales para

sec (x) = 3

sec (x) = a \Rightarrow x = arcsec (a) + 2 πn, x = 2 π - arcsec (a) + 2 πn

x = arcsec (3) + 2 πn, x = 2 π - arcsec (3) + 2 πn

x = arcsec (3) + 2 πn, x = 2 π - arcsec (3) + 2 πn

Mostrar soluciones en forma decimal

x = 1.23095 \dots + 2 πn, x = 2 π - 1.23095 \dots + 2 πn

Ejemplos populares

sin (3 x + 1) = \frac{1}{2}

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0.16085=sin((2pi)/(365)(x-114))

0.16085 = sin (\frac{2 π}{365} (x - 114))

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