es

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

sin(x-pi/3)=0.4

Solución

sin (x - \frac{π}{3}) = 0.4

Solución

x = 0.41151 \dots + 2 πn + \frac{π}{3}, x = π - 0.41151 \dots + 2 πn + \frac{π}{3}

+1

Grados

x = 83.57817 \dots^{\circ} + 36 0^{\circ} n, x = 216.42182 \dots^{\circ} + 36 0^{\circ} n

Pasos de solución

sin (x - \frac{π}{3}) = 0.4

Aplicar propiedades trigonométricas inversas

sin (x - \frac{π}{3}) = 0.4

Soluciones generales para

sin (x - \frac{π}{3}) = 0.4

sin (x) = a \Rightarrow x = arcsin (a) + 2 πn, x = π - arcsin (a) + 2 πn

x - \frac{π}{3} = arcsin (0.4) + 2 πn, x - \frac{π}{3} = π - arcsin (0.4) + 2 πn

x - \frac{π}{3} = arcsin (0.4) + 2 πn, x - \frac{π}{3} = π - arcsin (0.4) + 2 πn

Resolver

x - \frac{π}{3} = arcsin (0.4) + 2 πn : x = arcsin (0.4) + 2 πn + \frac{π}{3}

x - \frac{π}{3} = arcsin (0.4) + 2 πn

Desplace

\frac{π}{3}

a la derecha

x - \frac{π}{3} = arcsin (0.4) + 2 πn

Sumar

\frac{π}{3}

a ambos lados

x - \frac{π}{3} + \frac{π}{3} = arcsin (0.4) + 2 πn + \frac{π}{3}

Simplificar

x = arcsin (0.4) + 2 πn + \frac{π}{3}

x = arcsin (0.4) + 2 πn + \frac{π}{3}

Resolver

x - \frac{π}{3} = π - arcsin (0.4) + 2 πn : x = π - arcsin (0.4) + 2 πn + \frac{π}{3}

x - \frac{π}{3} = π - arcsin (0.4) + 2 πn

Desplace

\frac{π}{3}

a la derecha

x - \frac{π}{3} = π - arcsin (0.4) + 2 πn

Sumar

\frac{π}{3}

a ambos lados

x - \frac{π}{3} + \frac{π}{3} = π - arcsin (0.4) + 2 πn + \frac{π}{3}

Simplificar

x = π - arcsin (0.4) + 2 πn + \frac{π}{3}

x = π - arcsin (0.4) + 2 πn + \frac{π}{3}

x = arcsin (0.4) + 2 πn + \frac{π}{3}, x = π - arcsin (0.4) + 2 πn + \frac{π}{3}

Mostrar soluciones en forma decimal

x = 0.41151 \dots + 2 πn + \frac{π}{3}, x = π - 0.41151 \dots + 2 πn + \frac{π}{3}

Gráfica

Ejemplos populares

2sin^2(θ)-2=cos^2(θ)

2 sin^{2} (θ) - 2 = cos^{2} (θ)

sin(θ)+cos(θ)=sqrt(3/2)

sin (θ) + cos (θ) = \frac{3}{2}

2cos^2(a)=cos(a)

2 cos^{2} (a) = cos (a)

\frac{1}{2} = cos (2 θ)

(tan(x)-1)(2sin(x)+1)=0

(tan (x) - 1) (2 sin (x) + 1) = 0