Sr Examen
Otras calculadoras
-
¿Cómo usar?
- La ecuación:
-
Ecuación x^3-x^2-x-1=0
-
Ecuación 12-4(x-3)=39-9x
-
Ecuación 0,2x+2,7=1,4-1,1x
-
Ecuación x^2=2x+8
- Expresar {x} en función de y en la ecuación:
- -11*x-14*y=-3
- -9*x-1*y=6
- -2*x+2*y=4
- -11*x-3*y=14
- Gráfico de la función y =:
-
sin(3*x)
- Integral de d{x}:
- sin(3*x)
- Derivada de:
-
sin(3*x)
-
1/2
- Suma de la serie:
-
1/2
- Límite de la función:
-
1/2
-
Expresiones idénticas
- sin(tres *x)= uno / dos
- seno de (3 multiplicar por x) es igual a 1 dividir por 2
- seno de (tres multiplicar por x) es igual a uno dividir por dos
- sin(3x)=1/2
- sin3x=1/2
- sin(3*x)=1 dividir por 2
-
Expresiones semejantes
- sin(3x)=1
- sin3x=-1
-
Expresiones con funciones
- Seno sin
- sin(x)=1/3
- sin(6*x)=9/8
- sin(2x)=-1/2
- sin(3*x)-cos(3*x)=0
- sin(x)^(2)-sin(x)=0
sin(3*x)=1/2 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Solución detallada
Tenemos la ecuación
$$\sin{\left(3 x \right)} = \frac{1}{2}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$3 x = 2 \pi n + \operatorname{asin}{\left(\frac{1}{2} \right)}$$
$$3 x = 2 \pi n - \operatorname{asin}{\left(\frac{1}{2} \right)} + \pi$$
O
$$3 x = 2 \pi n + \frac{\pi}{6}$$
$$3 x = 2 \pi n + \frac{5 \pi}{6}$$
, donde n es cualquier número entero
Dividamos ambos miembros de la ecuación obtenida en
$$3$$
obtenemos la respuesta:
$$x_{1} = \frac{2 \pi n}{3} + \frac{\pi}{18}$$
$$x_{2} = \frac{2 \pi n}{3} + \frac{5 \pi}{18}$$
$$\sin{\left(3 x \right)} = \frac{1}{2}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$3 x = 2 \pi n + \operatorname{asin}{\left(\frac{1}{2} \right)}$$
$$3 x = 2 \pi n - \operatorname{asin}{\left(\frac{1}{2} \right)} + \pi$$
O
$$3 x = 2 \pi n + \frac{\pi}{6}$$
$$3 x = 2 \pi n + \frac{5 \pi}{6}$$
, donde n es cualquier número entero
Dividamos ambos miembros de la ecuación obtenida en
$$3$$
obtenemos la respuesta:
$$x_{1} = \frac{2 \pi n}{3} + \frac{\pi}{18}$$
$$x_{2} = \frac{2 \pi n}{3} + \frac{5 \pi}{18}$$
Suma y producto de raíces
[src]
suma
pi 5*pi -- + ---- 18 18
$$\frac{\pi}{18} + \frac{5 \pi}{18}$$
=
pi -- 3
$$\frac{\pi}{3}$$
producto
pi 5*pi --*---- 18 18
$$\frac{\pi}{18} \frac{5 \pi}{18}$$
=
2 5*pi ----- 324
$$\frac{5 \pi^{2}}{324}$$
5*pi^2/324
Respuesta rápida
[src]
pi
x1 = --
18
$$x_{1} = \frac{\pi}{18}$$
5*pi
x2 = ----
18
$$x_{2} = \frac{5 \pi}{18}$$
x2 = 5*pi/18
Respuesta numérica
[src]
x1 = -34.7320521146872
x2 = -94.0732466824944
x3 = -6.10865238198015
x4 = 2.26892802759263
x5 = -68.2423737529783
x6 = -70.3367688553715
x7 = 23.9110107523223
x8 = -55.6760031386191
x9 = -22.8638132011257
x10 = 54.6288055874225
x11 = -26.3544717051144
x12 = 32.2885911618951
x13 = 4.36332312998582
x14 = 60.9119908946021
x15 = -29.1469985083053
x16 = -22.165681500328
x17 = 72.0820981073658
x18 = -11.693705988362
x19 = 48.3456202802429
x20 = -35.4301838154849
x21 = -20.0712863979348
x22 = -77.3180858633488
x23 = -1.91986217719376
x24 = 34.3829862642883
x25 = 8.55211333477222
x26 = -97.563905186483
x27 = 76.2708883121522
x28 = 28.0998009571087
x29 = -91.9788515801012
x30 = 42.0624349730633
x31 = -96.1676417848876
x32 = 92.3279174305
x33 = -81.5068760681352
x34 = -83.6012711705284
x35 = -4.01425727958696
x36 = 10.6465084371654
x37 = -17.9768912955416
x38 = -39.6189740202713
x39 = 6.45771823237902
x40 = 74.176493209759
x41 = 96.5167076352864
x42 = 46.2512251778497
x43 = 52.5344104850293
x44 = 65.7989128001862
x45 = -52.1853446346305
x46 = 13.4390352403563
x47 = 103.498024643264
x48 = 78.3652834145454
x49 = 50.4400153826361
x50 = 61.6101225953998
x51 = -99.6583002888762
x52 = 98.6111027376796
x53 = 69.9877030049726
x54 = 30.1941960595019
x55 = -61.9591884457987
x56 = -57.7703982410123
x57 = 17.6278254451427
x58 = -13.7881010907552
x59 = 101.403629540871
x60 = -64.0535835481919
x61 = 21.8166156499291
x62 = -47.9965544298441
x63 = 94.4223125328932
x64 = -59.8647933434055
x65 = 19.7222205475359
x66 = 44.1568300754565
x67 = -85.6956662729216
x68 = -50.0909495322373
x69 = -41.7133691226645
x70 = 90.2335223281068
x71 = 83.9503370209273
x72 = -89.884456477708
x73 = 26.0054058547155
x74 = -66.1479786505851
x75 = -1.22173047639603
x76 = 81.8559419185341
x77 = 86.0447321233204
x78 = -45.9021593274509
x79 = 88.1391272257137
x80 = -72.4311639577647
x81 = -76.6199541625511
x82 = -87.7900613753148
x83 = -24.2600766027212
x84 = -43.8077642250577
x85 = -73.1292956585624
x86 = -24.9582083035189
x87 = -9.59931088596881
x88 = 63.704517697793
x89 = 0.174532925199433
x90 = -79.412480965742
x91 = -15.8824961931484
x92 = 39.9680398706701
x93 = -53.5816080362259
x94 = 67.8933079025794
x95 = -37.5245789178781
x96 = 37.873644768277
x96 = 37.873644768277
Gráfico