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- La ecuación:
-
Ecuación x=(x+1)/2
- Ecuación (x-6)(-5x-9)=0
-
Ecuación x^2-14*x+33=0
-
Ecuación 5-x^2=0
- Expresar {x} en función de y en la ecuación:
- -17*x-12*y=-9
- 18*x+17*y=-14
- 14*x-10*y=-4
- -17*x-8*y=7
- Derivada de:
-
sin3x
- Integral de d{x}:
- sin3x
- Gráfico de la función y =:
-
sin3x
-
Expresiones idénticas
- sin3x=-(uno)/(dos)
- seno de 3x es igual a menos (1) dividir por (2)
- seno de 3x es igual a menos (uno) dividir por (dos)
- sin3x=-1/2
- sin3x=-(1) dividir por (2)
-
Expresiones semejantes
- sin(3*x)-sin(2*x)=0
- 2*sin(3*x)=0
- 4^(x-1/2)-5*2^(x-1)+3=0
- 2*(1+sin(3*x)),x=0
- 2*x^2/(x-1/2)-1/(x-1/2)=2
- sin3x=+(1)/(2)
- x-1/2=1/2
- y=1+1/2e^(-4t)-1/2e^(-2t)
- 3/7-(x-1/8)=3/4-1/2
sin3x=-(1)/(2) la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Solución detallada
Tenemos la ecuación
$$\sin{\left(3 x \right)} = -0.5$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$3 x = 2 \pi n + \operatorname{asin}{\left(-0.5 \right)}$$
$$3 x = 2 \pi n - \operatorname{asin}{\left(-0.5 \right)} + \pi$$
O
$$3 x = 2 \pi n - 0.523598775598299$$
$$3 x = 2 \pi n + 0.523598775598299 + \pi$$
, donde n es cualquier número entero
Dividamos ambos miembros de la ecuación obtenida en
$$3$$
obtenemos la respuesta:
$$x_{1} = \frac{2 \pi n}{3} - 0.174532925199433$$
$$x_{2} = \frac{2 \pi n}{3} + 0.174532925199433 + \frac{\pi}{3}$$
$$\sin{\left(3 x \right)} = -0.5$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$3 x = 2 \pi n + \operatorname{asin}{\left(-0.5 \right)}$$
$$3 x = 2 \pi n - \operatorname{asin}{\left(-0.5 \right)} + \pi$$
O
$$3 x = 2 \pi n - 0.523598775598299$$
$$3 x = 2 \pi n + 0.523598775598299 + \pi$$
, donde n es cualquier número entero
Dividamos ambos miembros de la ecuación obtenida en
$$3$$
obtenemos la respuesta:
$$x_{1} = \frac{2 \pi n}{3} - 0.174532925199433$$
$$x_{2} = \frac{2 \pi n}{3} + 0.174532925199433 + \frac{\pi}{3}$$
Suma y producto de raíces
[src]
suma
-0.174532925199433 + 1.22173047639603
$$-0.174532925199433 + 1.22173047639603$$
=
1.04719755119660
$$1.0471975511966$$
producto
-0.174532925199433*1.22173047639603
$$- 0.174532925199433 \cdot 1.22173047639603$$
=
-0.213232193850696
$$-0.213232193850696$$
-0.213232193850696
Respuesta rápida
[src]
x1 = -0.174532925199433
$$x_{1} = -0.174532925199433$$
x2 = 1.22173047639603
$$x_{2} = 1.22173047639603$$
x2 = 1.22173047639603
Respuesta numérica
[src]
x1 = -98.6111027376796
x2 = 22.165681500328
x3 = 15.8824961931484
x4 = 72.4311639577647
x5 = 39.6189740202713
x6 = -15.5334303427495
x7 = -59.5157274930066
x8 = -31.5904594610974
x9 = -81.8559419185341
x10 = -65.7989128001862
x11 = -42.0624349730633
x12 = 74.5255590601579
x13 = -74.176493209759
x14 = 66.1479786505851
x15 = -23.9110107523223
x16 = -69.9877030049726
x17 = -21.8166156499291
x18 = -39.9680398706701
x19 = 24.2600766027212
x20 = 33.3357887130917
x21 = 83.6012711705284
x22 = -67.8933079025794
x23 = -90.2335223281068
x24 = -72.0820981073658
x25 = -4.36332312998582
x26 = 76.6199541625511
x27 = 30.5432619099008
x28 = 70.3367688553715
x29 = 85.6956662729216
x30 = 1.91986217719376
x31 = -51.1381470834339
x32 = 646.2954220135
x33 = 64.0535835481919
x34 = 26.3544717051144
x35 = -61.6101225953998
x36 = -46.2512251778497
x37 = -75.5727566113545
x38 = -54.6288055874225
x39 = 52.1853446346305
x40 = -0.174532925199433
x41 = 98.2620368872808
x42 = 91.9788515801012
x43 = -77.6671517137477
x44 = 4.01425727958696
x45 = 56.3741348394168
x46 = 32.637657012294
x47 = -88.1391272257137
x48 = -7.15584993317675
x49 = -79.7615468161409
x50 = -35.7792496658838
x51 = -48.3456202802429
x52 = -33.6848545634906
x53 = -26.0054058547155
x54 = 20.0712863979348
x55 = 94.0732466824944
x56 = -83.9503370209273
x57 = -19.7222205475359
x58 = 45.9021593274509
x59 = 54.2797397370236
x60 = 28.4488668075076
x61 = -11.3446401379631
x62 = 43.8077642250577
x63 = 77.3180858633488
x64 = 89.884456477708
x65 = -86.0447321233204
x66 = -28.0998009571087
x67 = 47.9965544298441
x68 = -13.4390352403563
x69 = 87.7900613753148
x70 = -57.4213323906134
x71 = 61.9591884457987
x72 = -44.1568300754565
x73 = -17.6278254451427
x74 = 96.1676417848876
x75 = 100.356431989674
x76 = 68.2423737529783
x77 = 50.0909495322373
x78 = -63.704517697793
x79 = 10.2974425867665
x80 = 12.3918376891597
x81 = -92.3279174305
x82 = 8.20304748437335
x83 = -37.873644768277
x84 = 6.10865238198015
x85 = -2.26892802759263
x86 = 59.8647933434055
x87 = -16.929693744345
x88 = 41.7133691226645
x89 = 17.9768912955416
x89 = 17.9768912955416