es

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(sin(2x)-1)/3 =-1/6

Solución

\frac{sin ( 2 x ) - 1}{3} = - \frac{1}{6}

Solución

x = \frac{π}{12} + πn, x = \frac{5 π}{12} + πn

+1

Pasos de solución

\frac{sin ( 2 x ) - 1}{3} = - \frac{1}{6}

Multiplicar ambos lados por

3

sin (2 x) - 1 = - \frac{1}{2}

Mover

1

al lado derecho

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

Soluciones generales para

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

2 x = \frac{π}{6} + 2 πn, 2 x = \frac{5 π}{6} + 2 πn

Resolver

2 x = \frac{π}{6} + 2 πn : x = \frac{π}{12} + πn

Resolver

2 x = \frac{5 π}{6} + 2 πn : x = \frac{5 π}{12} + πn

x = \frac{π}{12} + πn, x = \frac{5 π}{12} + πn

Ejemplos populares

2sin^2(2x)+cos(2x)-1=0

2 sin^{2} (2 x) + cos (2 x) - 1 = 0

4 cos (x) + 2 = 3

sin(4θ)=4sin(2θ)cos(2θ)

sin (4 θ) = 4 sin (2 θ) cos (2 θ)

cos (x) = 6

6sin(x)-1=4sin(x)

6 sin (x) - 1 = 4 sin (x)