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- La ecuación:
-
Ecuación 8*x-3*(2*x+1)=2*x+4
-
Ecuación x^3=27
-
Ecuación 1+sin(x)=0
-
Ecuación 2*x^2+6*x+9=
- Expresar {x} en función de y en la ecuación:
- 20*x+6*y=8
- 7*x-19*y=-8
- -11*x+10*y=-9
- 6*x-2*y=20
- Integral de d{x}:
- sin(pi*x)
- Límite de la función:
-
sin(pi*x)
-
-1
- Gráfico de la función y =:
-
sin(pi*x)
- Derivada de:
-
-1
- Forma canónica:
- -1
-
Expresiones idénticas
- sin(pi*x)=- uno
- seno de ( número pi multiplicar por x) es igual a menos 1
- seno de ( número pi multiplicar por x) es igual a menos uno
- sin(pix)=-1
- sinpix=-1
-
Expresiones semejantes
- arccos(sin(pix))=0,6pi
- sin(pi*x)=+1
- sin(pi*x/3)=1/2
- sinpi((x+11)/6)=-1/2
-
Expresiones con funciones
- Seno sin
- sin(x-pi/3)=0
- sin(x/2)=1/2
- sin^24𝑥−sin4𝑥−2=0
- sin(2*x)=-1/2
- sin(3*x)=cos(2*x)
- Número Pi pi
- pi*pi*x=3*f*(x)
- pi*sin(pi*x)=1
- pi-arccosx=0
- pi/3=2*x-pi/4
- pi(x+2)/12=(1/2)
sin(pi*x)=-1 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Solución detallada
Tenemos la ecuación
$$\sin{\left(\pi x \right)} = -1$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$\pi x = 2 \pi n + \operatorname{asin}{\left(-1 \right)}$$
$$\pi x = 2 \pi n - \operatorname{asin}{\left(-1 \right)} + \pi$$
O
$$\pi x = 2 \pi n - \frac{\pi}{2}$$
$$\pi x = 2 \pi n + \frac{3 \pi}{2}$$
, donde n es cualquier número entero
Dividamos ambos miembros de la ecuación obtenida en
$$\pi$$
obtenemos la respuesta:
$$x_{1} = \frac{2 \pi n - \frac{\pi}{2}}{\pi}$$
$$x_{2} = \frac{2 \pi n + \frac{3 \pi}{2}}{\pi}$$
$$\sin{\left(\pi x \right)} = -1$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$\pi x = 2 \pi n + \operatorname{asin}{\left(-1 \right)}$$
$$\pi x = 2 \pi n - \operatorname{asin}{\left(-1 \right)} + \pi$$
O
$$\pi x = 2 \pi n - \frac{\pi}{2}$$
$$\pi x = 2 \pi n + \frac{3 \pi}{2}$$
, donde n es cualquier número entero
Dividamos ambos miembros de la ecuación obtenida en
$$\pi$$
obtenemos la respuesta:
$$x_{1} = \frac{2 \pi n - \frac{\pi}{2}}{\pi}$$
$$x_{2} = \frac{2 \pi n + \frac{3 \pi}{2}}{\pi}$$
Respuesta rápida
[src]
x1 = -1/2
$$x_{1} = - \frac{1}{2}$$
x2 = 3/2
$$x_{2} = \frac{3}{2}$$
x2 = 3/2
Suma y producto de raíces
[src]
suma
-1/2 + 3/2
$$- \frac{1}{2} + \frac{3}{2}$$
=
1
$$1$$
producto
-3 --- 2*2
$$- \frac{3}{4}$$
=
-3/4
$$- \frac{3}{4}$$
-3/4
Respuesta numérica
[src]
x1 = 15.5000001413479
x2 = 53.5000001413479
x3 = -86.4999998586521
x4 = 59.5000001413479
x5 = 51.5000001413479
x6 = 91.5000001413479
x7 = -62.4999998586521
x8 = -8.49999985865214
x9 = -12.4999998586521
x10 = -18.4999998586521
x11 = -72.4999998586521
x12 = 81.5000001413479
x13 = 57.5000001413479
x14 = 77.5000001413479
x15 = 79.5000001413479
x16 = 83.5000001413479
x17 = 99.5000001413479
x18 = -58.4999998586521
x19 = 49.5000001413479
x20 = -44.4999998586521
x21 = -46.4999998586521
x22 = 43.5000001413479
x23 = -4.49999985865214
x24 = 29.5000001413479
x25 = -96.4999998586521
x26 = 3.50000014134786
x27 = -28.4999998586521
x28 = -68.4999998586521
x29 = -48.4999998586521
x30 = -22.4999998586521
x31 = 41.5000001413479
x32 = -6.49999985865214
x33 = -76.4999998586521
x34 = -54.4999998586521
x35 = -2.49999985865214
x36 = -60.4999998586521
x37 = 17.5000001413479
x38 = -98.4999998586521
x39 = 1.50000014134786
x40 = -16.4999998586521
x41 = 33.5000001413479
x42 = -88.4999998586521
x43 = 5.50000014134786
x44 = -20.4999998586521
x45 = -42.4999998586521
x46 = -14.4999998586521
x47 = 71.5000001413479
x48 = -40.4999998586521
x49 = -70.4999998586521
x50 = 75.5000001413479
x51 = -84.4999998586521
x52 = 89.5000001413479
x53 = 19.5000001413479
x54 = 65.5000001413479
x55 = 63.5000001413479
x56 = -82.4999998586521
x57 = -24.4999998586521
x58 = -52.4999998586521
x59 = -30.4999998586521
x60 = -36.4999998586521
x61 = 47.5000001413479
x62 = -0.499999858652136
x63 = -26.4999998586521
x64 = 85.5000001413479
x65 = -34.4999998586521
x66 = 7.50000014134786
x67 = 39.5000001413479
x68 = 73.5000001413479
x69 = -80.4999998586521
x70 = -50.4999998586521
x71 = 87.5000001413479
x72 = 67.5000001413479
x73 = -74.4999998586521
x74 = -32.4999998586521
x75 = -94.4999998586521
x76 = 97.5000001413479
x77 = -78.4999998586521
x78 = 21.5000001413479
x79 = 23.5000001413479
x80 = 55.5000001413479
x81 = 13.5000001413479
x82 = 9.50000014134786
x83 = 27.5000001413479
x84 = -56.4999998586521
x85 = -38.4999998586521
x86 = -100.499999858652
x87 = -92.4999998586521
x88 = 31.5000001413479
x89 = 93.5000001413479
x90 = -64.4999998586521
x91 = 35.5000001413479
x92 = -90.4999998586521
x93 = -66.4999998586521
x94 = 69.5000001413479
x95 = 45.5000001413479
x96 = 95.5000001413479
x97 = -10.4999998586521
x98 = 25.5000001413479
x99 = 61.5000001413479
x100 = 11.5000001413479
x101 = 37.5000001413479
x101 = 37.5000001413479
Gráfico