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- La ecuación:
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Ecuación 16*x^3+25*x=0
-
Ecuación x+(x*3)=168
-
Ecuación x^2/(x^2-9)=(12-x)/(x^2-9)
-
Ecuación x^3+3*x^2=16*x+48
- Expresar {x} en función de y en la ecuación:
- 6*x+4*y=15
- -4*x+4*y=-9
- 3*x-12*y=-14
- 10*x-9*y=-10
-
Expresiones idénticas
- sin(5pix)= uno
- seno de (5 número pi x) es igual a 1
- seno de (5 número pi x) es igual a uno
- sin5pix=1
-
Expresiones con funciones
- Seno sin
- sin(pi*x)/2x+1=-1/2x+1
- sin(x-5*pi/6)=1
- sin(x^3)/3=0
- sin(x)*cosh(x)-cos(x)*sinh(x)=0
- sin(p/12)cos(p/12)
sin(5pix)=1 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Solución detallada
Tenemos la ecuación
$$\sin{\left(5 \pi x \right)} = 1$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$5 \pi x = 2 \pi n + \operatorname{asin}{\left(1 \right)}$$
$$5 \pi x = 2 \pi n - \operatorname{asin}{\left(1 \right)} + \pi$$
O
$$5 \pi x = 2 \pi n + \frac{\pi}{2}$$
$$5 \pi x = 2 \pi n + \frac{\pi}{2}$$
, donde n es cualquier número entero
Dividamos ambos miembros de la ecuación obtenida en
$$5 \pi$$
obtenemos la respuesta:
$$x_{1} = \frac{2 \pi n + \frac{\pi}{2}}{5 \pi}$$
$$x_{2} = \frac{2 \pi n + \frac{\pi}{2}}{5 \pi}$$
$$\sin{\left(5 \pi x \right)} = 1$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$5 \pi x = 2 \pi n + \operatorname{asin}{\left(1 \right)}$$
$$5 \pi x = 2 \pi n - \operatorname{asin}{\left(1 \right)} + \pi$$
O
$$5 \pi x = 2 \pi n + \frac{\pi}{2}$$
$$5 \pi x = 2 \pi n + \frac{\pi}{2}$$
, donde n es cualquier número entero
Dividamos ambos miembros de la ecuación obtenida en
$$5 \pi$$
obtenemos la respuesta:
$$x_{1} = \frac{2 \pi n + \frac{\pi}{2}}{5 \pi}$$
$$x_{2} = \frac{2 \pi n + \frac{\pi}{2}}{5 \pi}$$
Suma y producto de raíces
[src]
suma
1/10
$$\frac{1}{10}$$
=
1/10
$$\frac{1}{10}$$
producto
1/10
$$\frac{1}{10}$$
=
1/10
$$\frac{1}{10}$$
1/10
Respuesta numérica
[src]
x1 = 91.6999999385528
x2 = 39.6999999385528
x3 = 1.69999993855281
x4 = -16.3000000614472
x5 = -96.3000000614472
x6 = 21.6999999385528
x7 = -32.3000000614472
x8 = 79.6999999385528
x9 = 75.6999999385528
x10 = 89.6999999385528
x11 = 43.6999999385528
x12 = 55.6999999385528
x13 = -36.3000000614472
x14 = -92.3000000614472
x15 = 83.6999999385528
x16 = -0.300000061447187
x17 = -2.30000006144719
x18 = -62.3000000614472
x19 = 35.6999999385528
x20 = -28.3000000614472
x21 = 25.6999999385528
x22 = 29.6999999385528
x23 = 97.6999999385528
x24 = -58.3000000614472
x25 = 19.6999999385528
x26 = 53.6999999385528
x27 = -64.3000000614472
x28 = -20.3000000614472
x29 = 45.6999999385528
x30 = -38.3000000614472
x31 = -74.3000000614472
x32 = 13.6999999385528
x33 = -84.3000000614472
x34 = 27.6999999385528
x35 = -34.3000000614472
x36 = -50.3000000614472
x37 = 59.6999999385528
x38 = -94.3000000614472
x39 = -10.3000000614472
x40 = 49.6999999385528
x41 = 31.6999999385528
x42 = -98.3000000614472
x43 = -86.3000000614472
x44 = 65.6999999385528
x45 = 47.6999999385528
x46 = -80.3000000614472
x47 = -22.3000000614472
x48 = -44.3000000614472
x49 = -8.30000006144719
x50 = 81.6999999385528
x51 = -56.3000000614472
x52 = -76.3000000614472
x53 = 99.6999999385528
x54 = 77.6999999385528
x55 = 7.69999993855281
x56 = -52.3000000614472
x57 = -42.3000000614472
x58 = -12.3000000614472
x59 = -72.3000000614472
x60 = -100.300000061447
x61 = 37.6999999385528
x62 = 51.6999999385528
x63 = -4.30000006144719
x64 = -6.30000006144719
x65 = -46.3000000614472
x66 = 67.6999999385528
x67 = 87.6999999385528
x68 = 63.6999999385528
x69 = 15.6999999385528
x70 = 85.6999999385528
x71 = -14.3000000614472
x72 = 9.69999993855281
x73 = 61.6999999385528
x74 = 73.6999999385528
x75 = 17.6999999385528
x76 = -66.3000000614472
x77 = -30.3000000614472
x78 = -60.3000000614472
x79 = 69.6999999385528
x80 = 93.6999999385528
x81 = -82.3000000614472
x82 = 11.6999999385528
x83 = 3.69999993855281
x84 = 41.6999999385528
x85 = 71.6999999385528
x86 = -26.3000000614472
x87 = 95.6999999385528
x88 = -70.3000000614472
x89 = 5.69999993855281
x90 = -88.3000000614472
x91 = -68.3000000614472
x92 = -78.3000000614472
x93 = 57.6999999385528
x94 = -24.3000000614472
x95 = -54.3000000614472
x96 = -18.3000000614472
x97 = 23.6999999385528
x98 = -90.3000000614472
x99 = -40.3000000614472
x100 = 33.6999999385528
x101 = -48.3000000614472
x101 = -48.3000000614472