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- La ecuación:
-
Ecuación |x^2-1|-|x-3|=7
-
Ecuación 2*x^2+6*x+9=0
-
Ecuación 2^2-x-1=x^2-5*x-(-1-x^2)
-
Ecuación 2x=18-x
- Expresar {x} en función de y en la ecuación:
- 15*x+15*y=16
- 4*x-7*y=12
- -5*x+6*y=19
- 1*x-17*y=-12
- Suma de la serie:
- sinx
-
1/4
- Derivada de:
-
sinx
-
1/4
- Gráfico de la función y =:
-
sinx
- Integral de d{x}:
- 1/4
-
Expresiones idénticas
- sinx= uno / cuatro
- seno de x es igual a 1 dividir por 4
- seno de x es igual a uno dividir por cuatro
- sinx=1 dividir por 4
-
Expresiones semejantes
- sin(x/4)=1/2
- cos(2*x)+sin(x)-1=0
- sin(x)-cos(x)=1
-
Expresiones con funciones
- sinx
- sinx*cosx-2cosx=0
- sinx=-x-1
- sinx=cosx+1
- sinx=1/2
- sinx/2=1
sinx=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
Suma y producto de raíces
[src]
suma
pi - asin(1/4) + asin(1/4)
$$\operatorname{asin}{\left(\frac{1}{4} \right)} + \left(\pi - \operatorname{asin}{\left(\frac{1}{4} \right)}\right)$$
=
pi
$$\pi$$
producto
(pi - asin(1/4))*asin(1/4)
$$\left(\pi - \operatorname{asin}{\left(\frac{1}{4} \right)}\right) \operatorname{asin}{\left(\frac{1}{4} \right)}$$
=
(pi - asin(1/4))*asin(1/4)
$$\left(\pi - \operatorname{asin}{\left(\frac{1}{4} \right)}\right) \operatorname{asin}{\left(\frac{1}{4} \right)}$$
(pi - asin(1/4))*asin(1/4)
Respuesta rápida
[src]
x1 = pi - asin(1/4)
$$x_{1} = \pi - \operatorname{asin}{\left(\frac{1}{4} \right)}$$
x2 = asin(1/4)
$$x_{2} = \operatorname{asin}{\left(\frac{1}{4} \right)}$$
x2 = asin(1/4)
Respuesta numérica
[src]
x1 = 97.1366920061415
x2 = -87.7119140453721
x3 = 75.6509039412971
x4 = 144.765942320273
x5 = -18.5968756663967
x6 = -47.376570058989
x7 = 19.1022361766808
x8 = -62.5791728166538
x9 = -6.03050505203751
x10 = 21.7384683199865
x11 = -72.5093112877073
x12 = -75.145543431013
x13 = -28.5270141374502
x14 = 15.4552830128069
x15 = 94.5004598628359
x16 = 65.7207654702436
x17 = 78.2871360846027
x18 = 9.1720977056273
x19 = 50.5181627125788
x20 = -68.8623581238334
x21 = -56.2959875094742
x22 = 90.8535066989619
x23 = 31.66860679104
x24 = 100.783645170015
x25 = -9.67745821591146
x26 = -24.8800609735763
x27 = 81.9340892484767
x28 = 46.8712095487048
x29 = 34.3048389343456
x30 = 0.252680255142079
x31 = -3.39427290873187
x32 = 53.1543948558844
x33 = 28.0216536271661
x34 = -37.4464315879354
x35 = -12.3136903592171
x36 = -85.0756819020665
x37 = -43.729616895115
x38 = -78.7924965948869
x39 = -22.2438288302706
x40 = 84.5703213917823
x41 = -53.6597553661686
x42 = 2.88891239844771
x43 = 12.8190508695013
x44 = -100.278284659731
x45 = -66.2261259805277
x46 = 163.615498241811
x47 = -41.0933847518094
x48 = 6.53586556232167
x49 = 59.437580163064
x50 = -59.9429406733481
x51 = 25.3854214838604
x52 = -93.9950993525517
x53 = -15.960643523091
x54 = -116.491608437964
x55 = 72.0039507774232
x56 = 63.0845333269379
x57 = -34.8101994446298
x58 = -91.3588672092461
x59 = 44.2349774053992
x60 = -31.1632462807559
x61 = 88.2172745556563
x62 = -81.4287287381925
x63 = 69.3677186341175
x64 = 56.8013480197584
x65 = 40.5880242415252
x66 = 37.9517920982196
x67 = -50.0128022022946
x68 = -97.6420525164257
x68 = -97.6420525164257
Gráfico