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2sin(x-10)=-0.4

Solución

2 sin (x - 1 0^{\circ}) = - 0.4

Solución

x = - 0.20135 \dots + 36 0^{\circ} n + 1 0^{\circ}, x = 18 0^{\circ} + 0.20135 \dots + 36 0^{\circ} n + 1 0^{\circ}

radianes

x = - 0.20135 \dots + \frac{π}{18} + 2 πn, x = π + 0.20135 \dots + \frac{π}{18} + 2 πn

Pasos de solución

2 sin (x - 1 0^{\circ}) = - 0.4

Dividir ambos lados entre

2

2 sin (x - 1 0^{\circ}) = - 0.4

Dividir ambos lados entre

2

\frac{2 sin ( x - 1 0 ^{\circ} )}{2} = \frac{- 0.4}{2}

Simplificar

\frac{2 sin ( x - 1 0 ^{\circ} )}{2} = \frac{- 0.4}{2}

Simplificar

\frac{2 sin ( x - 1 0 ^{\circ} )}{2} : sin (x - 1 0^{\circ})

\frac{2 sin ( x - 1 0 ^{\circ} )}{2}

Dividir:

\frac{2}{2} = 1

= sin (x - 1 0^{\circ})

Simplificar

\frac{- 0.4}{2} : - 0.2

\frac{- 0.4}{2}

Aplicar las propiedades de las fracciones:

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

= - \frac{0.4}{2}

Dividir:

\frac{0.4}{2} = 0.2

= - 0.2

sin (x - 1 0^{\circ}) = - 0.2

sin (x - 1 0^{\circ}) = - 0.2

sin (x - 1 0^{\circ}) = - 0.2

Aplicar propiedades trigonométricas inversas

sin (x - 1 0^{\circ}) = - 0.2

Soluciones generales para

sin (x - 1 0^{\circ}) = - 0.2

sin (x) = - a \Rightarrow x = arcsin (- a) + 36 0^{\circ} n, x = 18 0^{\circ} + arcsin (a) + 36 0^{\circ} n

x - 1 0^{\circ} = arcsin (- 0.2) + 36 0^{\circ} n, x - 1 0^{\circ} = 18 0^{\circ} + arcsin (0.2) + 36 0^{\circ} n

x - 1 0^{\circ} = arcsin (- 0.2) + 36 0^{\circ} n, x - 1 0^{\circ} = 18 0^{\circ} + arcsin (0.2) + 36 0^{\circ} n

Resolver

x - 1 0^{\circ} = arcsin (- 0.2) + 36 0^{\circ} n : x = - arcsin (\frac{1}{5}) + 36 0^{\circ} n + 1 0^{\circ}

x - 1 0^{\circ} = arcsin (- 0.2) + 36 0^{\circ} n

Simplificar

arcsin (- 0.2) + 36 0^{\circ} n : - arcsin (\frac{1}{5}) + 36 0^{\circ} n

arcsin (- 0.2) + 36 0^{\circ} n

arcsin (- 0.2) = - arcsin (\frac{1}{5})

arcsin (- 0.2)

= arcsin (- \frac{1}{5})

Utilizar la siguiente propiedad:

arcsin (- x) = - arcsin (x)

arcsin (- \frac{1}{5}) = - arcsin (\frac{1}{5})

= - arcsin (\frac{1}{5})

= - arcsin (\frac{1}{5}) + 36 0^{\circ} n

x - 1 0^{\circ} = - arcsin (\frac{1}{5}) + 36 0^{\circ} n

Mover

1 0^{\circ}

al lado derecho

x - 1 0^{\circ} = - arcsin (\frac{1}{5}) + 36 0^{\circ} n

Sumar

1 0^{\circ}

a ambos lados

x - 1 0^{\circ} + 1 0^{\circ} = - arcsin (\frac{1}{5}) + 36 0^{\circ} n + 1 0^{\circ}

Simplificar

x = - arcsin (\frac{1}{5}) + 36 0^{\circ} n + 1 0^{\circ}

x = - arcsin (\frac{1}{5}) + 36 0^{\circ} n + 1 0^{\circ}

Resolver

x - 1 0^{\circ} = 18 0^{\circ} + arcsin (0.2) + 36 0^{\circ} n : x = 18 0^{\circ} + arcsin (0.2) + 36 0^{\circ} n + 1 0^{\circ}

x - 1 0^{\circ} = 18 0^{\circ} + arcsin (0.2) + 36 0^{\circ} n

Mover

1 0^{\circ}

al lado derecho

x - 1 0^{\circ} = 18 0^{\circ} + arcsin (0.2) + 36 0^{\circ} n

Sumar

1 0^{\circ}

a ambos lados

x - 1 0^{\circ} + 1 0^{\circ} = 18 0^{\circ} + arcsin (0.2) + 36 0^{\circ} n + 1 0^{\circ}

Simplificar

x = 18 0^{\circ} + arcsin (0.2) + 36 0^{\circ} n + 1 0^{\circ}

x = 18 0^{\circ} + arcsin (0.2) + 36 0^{\circ} n + 1 0^{\circ}

x = - arcsin (\frac{1}{5}) + 36 0^{\circ} n + 1 0^{\circ}, x = 18 0^{\circ} + arcsin (0.2) + 36 0^{\circ} n + 1 0^{\circ}

Mostrar soluciones en forma decimal

x = - 0.20135 \dots + 36 0^{\circ} n + 1 0^{\circ}, x = 18 0^{\circ} + 0.20135 \dots + 36 0^{\circ} n + 1 0^{\circ}

Ejemplos populares

cot^2(2x-pi/3)= 1/3

cot^{2} (2 x - \frac{π}{3}) = \frac{1}{3}

sin(2x)=0.8,-180<= x<= 180

sin (2 x) = 0.8, - 18 0^{\circ} \leq x \leq 18 0^{\circ}

(tan(x))/(1+tan(x))=0

\frac{tan ( x )}{1 + tan ( x )} = 0

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

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

(12000}{2*6380}=tan(\frac{90-u)/2)

\frac{12000}{2 \cdot 6380} = tan (\frac{9 0 ^{\circ} - u}{2})