Sr Examen
Otras calculadoras
-
¿Cómo usar?
- La ecuación:
-
Ecuación sin(x/3)=-1/2
-
Ecuación x^2+9=(x+9)^2
-
Ecuación (x-5)/2=2*(3x/7-1/2)/3
-
Ecuación x/9+x=-10/3
- Expresar {x} en función de y en la ecuación:
- 7*x+13*y=-13
- -19*x-14*y=-8
- -8*x-12*y=15
- 2*x+2*y=-6
- Derivada de:
-
sin(x)
- Límite de la función:
-
sin(x)
- -1/4
- Forma canónica:
- sin(x)
-
Expresiones idénticas
- sin(x)=- uno / cuatro
- seno de (x) es igual a menos 1 dividir por 4
- seno de (x) es igual a menos uno dividir por cuatro
- sinx=-1/4
- sin(x)=-1 dividir por 4
-
Expresiones semejantes
- (1/2)*(2*x+3*y)+3=2*((3/2)*x-(1/4)*y)
- sin(x)=+1/4
- (log2^2(sinx)+log2(sinx)/2cosx-sqrt(3))=0
- sin(x/3)=-1/2
- -1/(4e^(2(x)^2))=((lny)^3)/3
- (x^3-1)/((4*x^2))=0
- sinx=-1/4
-
Expresiones con funciones
- Seno sin
- sin(x/3)=-1/2
- sin(x)=1/5
- sin(x)/x=0
- sin(2*x)=0
- sin(0.5x)=-sqrt3/2
sin(x)=-1/4 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Solución detallada
Tenemos la ecuación
$$\sin{\left(x \right)} = - \frac{1}{4}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$x = 2 \pi n + \operatorname{asin}{\left(- \frac{1}{4} \right)}$$
$$x = 2 \pi n - \operatorname{asin}{\left(- \frac{1}{4} \right)} + \pi$$
O
$$x = 2 \pi n - \operatorname{asin}{\left(\frac{1}{4} \right)}$$
$$x = 2 \pi n + \operatorname{asin}{\left(\frac{1}{4} \right)} + \pi$$
, donde n es cualquier número entero
$$\sin{\left(x \right)} = - \frac{1}{4}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$x = 2 \pi n + \operatorname{asin}{\left(- \frac{1}{4} \right)}$$
$$x = 2 \pi n - \operatorname{asin}{\left(- \frac{1}{4} \right)} + \pi$$
O
$$x = 2 \pi n - \operatorname{asin}{\left(\frac{1}{4} \right)}$$
$$x = 2 \pi n + \operatorname{asin}{\left(\frac{1}{4} \right)} + \pi$$
, donde n es cualquier número entero
Respuesta rápida
[src]
x1 = pi + asin(1/4)
$$x_{1} = \operatorname{asin}{\left(\frac{1}{4} \right)} + \pi$$
x2 = -asin(1/4)
$$x_{2} = - \operatorname{asin}{\left(\frac{1}{4} \right)}$$
x2 = -asin(1/4)
Suma y producto de raíces
[src]
suma
pi + asin(1/4) - asin(1/4)
$$- \operatorname{asin}{\left(\frac{1}{4} \right)} + \left(\operatorname{asin}{\left(\frac{1}{4} \right)} + \pi\right)$$
=
pi
$$\pi$$
producto
(pi + asin(1/4))*(-asin(1/4))
$$\left(\operatorname{asin}{\left(\frac{1}{4} \right)} + \pi\right) \left(- \operatorname{asin}{\left(\frac{1}{4} \right)}\right)$$
=
-(pi + asin(1/4))*asin(1/4)
$$- \left(\operatorname{asin}{\left(\frac{1}{4} \right)} + \pi\right) \operatorname{asin}{\left(\frac{1}{4} \right)}$$
-(pi + asin(1/4))*asin(1/4)
Respuesta numérica
[src]
x1 = -28.0216536271661
x2 = 87.7119140453721
x3 = 28.5270141374502
x4 = -63.0845333269379
x5 = 31.1632462807559
x6 = 78.7924965948869
x7 = -56.8013480197584
x8 = -9.1720977056273
x9 = 62.5791728166538
x10 = 59.9429406733481
x11 = -46.8712095487048
x12 = 6.03050505203751
x13 = -31.66860679104
x14 = -88.2172745556563
x15 = -100.783645170015
x16 = 3.39427290873187
x17 = 9.67745821591146
x18 = -75.6509039412971
x19 = -69.3677186341175
x20 = 72.5093112877073
x21 = 47.376570058989
x22 = 190160.350641535
x23 = 100.278284659731
x24 = -2.88891239844771
x25 = 12.3136903592171
x26 = 43.729616895115
x27 = 93.9950993525517
x28 = 81.4287287381925
x29 = 22.2438288302706
x30 = -6.53586556232167
x31 = 34.8101994446298
x32 = -90.8535066989619
x33 = 56.2959875094742
x34 = -78.2871360846027
x35 = 68.8623581238334
x36 = 18.5968756663967
x37 = -72.0039507774232
x38 = -270.429648463864
x39 = -37.9517920982196
x40 = -21.7384683199865
x41 = -44.2349774053992
x42 = -59.437580163064
x43 = -97.1366920061415
x44 = 15.960643523091
x45 = 85.0756819020665
x46 = 66.2261259805277
x47 = -0.252680255142079
x48 = 41.0933847518094
x49 = -12.8190508695013
x50 = -53.1543948558844
x51 = -15.4552830128069
x52 = -19.1022361766808
x53 = 24.8800609735763
x54 = -84.5703213917823
x55 = -81.9340892484767
x56 = -40.5880242415252
x57 = 53.6597553661686
x58 = 97.6420525164257
x59 = -94.5004598628359
x60 = 91.3588672092461
x61 = -34.3048389343456
x62 = -25.3854214838604
x63 = 37.4464315879354
x64 = 75.145543431013
x65 = -50.5181627125788
x66 = 50.0128022022946
x67 = -65.7207654702436
x67 = -65.7207654702436
Gráfico