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Popular >

0.2727=sec(2.746x)-1

Solución

0.2727 = sec (2.746 x) - 1

Solución

x = \frac{0.66691 \dots}{2.746} + \frac{2 πn}{2.746}, x = \frac{2 π}{2.746} - \frac{0.66691 \dots}{2.746} + \frac{2 πn}{2.746}

+1

Grados

x = 13.91538 \dots^{\circ} + 131.09978 \dots^{\circ} n, x = 117.18439 \dots^{\circ} + 131.09978 \dots^{\circ} n

Pasos de solución

0.2727 = sec (2.746 x) - 1

Intercambiar lados

sec (2.746 x) - 1 = 0.2727

Mover

1

al lado derecho

sec (2.746 x) - 1 = 0.2727

Sumar

1

a ambos lados

sec (2.746 x) - 1 + 1 = 0.2727 + 1

Simplificar

sec (2.746 x) = 1.2727

sec (2.746 x) = 1.2727

Aplicar propiedades trigonométricas inversas

sec (2.746 x) = 1.2727

Soluciones generales para

sec (2.746 x) = 1.2727

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

2.746 x = arcsec (1.2727) + 2 πn, 2.746 x = 2 π - arcsec (1.2727) + 2 πn

2.746 x = arcsec (1.2727) + 2 πn, 2.746 x = 2 π - arcsec (1.2727) + 2 πn

Resolver

2.746 x = arcsec (1.2727) + 2 πn : x = \frac{arcsec ( 1.2727 )}{2.746} + \frac{2 πn}{2.746}

2.746 x = arcsec (1.2727) + 2 πn

Dividir ambos lados entre

2.746

2.746 x = arcsec (1.2727) + 2 πn

Dividir ambos lados entre

2.746

\frac{2.746 x}{2.746} = \frac{arcsec ( 1.2727 )}{2.746} + \frac{2 πn}{2.746}

Simplificar

x = \frac{arcsec ( 1.2727 )}{2.746} + \frac{2 πn}{2.746}

x = \frac{arcsec ( 1.2727 )}{2.746} + \frac{2 πn}{2.746}

Resolver

2.746 x = 2 π - arcsec (1.2727) + 2 πn : x = \frac{2 π}{2.746} - \frac{arcsec ( 1.2727 )}{2.746} + \frac{2 πn}{2.746}

2.746 x = 2 π - arcsec (1.2727) + 2 πn

Dividir ambos lados entre

2.746

2.746 x = 2 π - arcsec (1.2727) + 2 πn

Dividir ambos lados entre

2.746

\frac{2.746 x}{2.746} = \frac{2 π}{2.746} - \frac{arcsec ( 1.2727 )}{2.746} + \frac{2 πn}{2.746}

Simplificar

x = \frac{2 π}{2.746} - \frac{arcsec ( 1.2727 )}{2.746} + \frac{2 πn}{2.746}

x = \frac{2 π}{2.746} - \frac{arcsec ( 1.2727 )}{2.746} + \frac{2 πn}{2.746}

x = \frac{arcsec ( 1.2727 )}{2.746} + \frac{2 πn}{2.746}, x = \frac{2 π}{2.746} - \frac{arcsec ( 1.2727 )}{2.746} + \frac{2 πn}{2.746}

Mostrar soluciones en forma decimal

x = \frac{0.66691 \dots}{2.746} + \frac{2 πn}{2.746}, x = \frac{2 π}{2.746} - \frac{0.66691 \dots}{2.746} + \frac{2 πn}{2.746}

Ejemplos populares

2sqrt(3)sin(2θ)=sqrt(3),0<= θ<2pi

23 sin (2 θ) = 3, 0 \leq θ < 2 π

cos(x)-sqrt(3)=3cos(x)

cos (x) - 3 = 3 cos (x)

2(1-cos^2(x))=1+cos(x)

2 (1 - cos^{2} (x)) = 1 + cos (x)

sec (x) = 1.86798

2tan^2(x)-7sec(x)+5=0

2 tan^{2} (x) - 7 sec (x) + 5 = 0