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- La ecuación:
-
Ecuación x^3-x^2-x-1=0
-
Ecuación 3x-2(3x+4)=10
-
Ecuación 12-4(x-3)=39-9x
-
Ecuación 0,2x+2,7=1,4-1,1x
- Expresar {x} en función de y en la ecuación:
- -11*x-3*y=14
- 2*x-15*y=-1
- -18*x-6*y=-1
- 6*x+9*y=-9
- Integral de d{x}:
- Tg3x
-
Expresiones idénticas
- Tg3x=-(uno /sqrt3)
- Tg3x es igual a menos (1 dividir por raíz cuadrada de 3)
- Tg3x es igual a menos (uno dividir por raíz cuadrada de 3)
- Tg3x=-(1/√3)
- Tg3x=-1/sqrt3
- Tg3x=-(1 dividir por sqrt3)
-
Expresiones semejantes
- cot(x+pi/6)=-1/sqrt(3)
- Tg3x=+(1/sqrt3)
Tg3x=-(1/sqrt3) la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
-1
tan(3*x) = -----
___
\/ 3
$$\tan{\left(3 x \right)} = - \frac{1}{\sqrt{3}}$$
Solución detallada
Tenemos la ecuación
$$\tan{\left(3 x \right)} = - \frac{1}{\sqrt{3}}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$3 x = \pi n + \operatorname{atan}{\left(- \frac{\sqrt{3}}{3} \right)}$$
O
$$3 x = \pi n - \frac{\pi}{6}$$
, donde n es cualquier número entero
Dividamos ambos miembros de la ecuación obtenida en
$$3$$
obtenemos la respuesta:
$$x_{1} = \frac{\pi n}{3} - \frac{\pi}{18}$$
$$\tan{\left(3 x \right)} = - \frac{1}{\sqrt{3}}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$3 x = \pi n + \operatorname{atan}{\left(- \frac{\sqrt{3}}{3} \right)}$$
O
$$3 x = \pi n - \frac{\pi}{6}$$
, donde n es cualquier número entero
Dividamos ambos miembros de la ecuación obtenida en
$$3$$
obtenemos la respuesta:
$$x_{1} = \frac{\pi n}{3} - \frac{\pi}{18}$$
Suma y producto de raíces
[src]
suma
-pi ---- 18
$$- \frac{\pi}{18}$$
=
-pi ---- 18
$$- \frac{\pi}{18}$$
producto
-pi ---- 18
$$- \frac{\pi}{18}$$
=
-pi ---- 18
$$- \frac{\pi}{18}$$
-pi/18
Respuesta numérica
[src]
x1 = 78.3652834145454
x2 = -86.0447321233204
x3 = 15.5334303427495
x4 = -0.174532925199433
x5 = 6.10865238198015
x6 = 89.884456477708
x7 = -29.4960643587042
x8 = 76.2708883121522
x9 = -26.3544717051144
x10 = -66.1479786505851
x11 = 54.2797397370236
x12 = 28.0998009571087
x13 = -70.3367688553715
x14 = 47.9965544298441
x15 = 80.4596785169386
x16 = -57.7703982410123
x17 = 81.5068760681352
x18 = -37.873644768277
x19 = -72.4311639577647
x20 = 96.1676417848876
x21 = -46.2512251778497
x22 = -74.5255590601579
x23 = 87.7900613753148
x24 = -9.59931088596881
x25 = 41.7133691226645
x26 = 61.6101225953998
x27 = -81.8559419185341
x28 = 37.5245789178781
x29 = 19.7222205475359
x30 = -99.6583002888762
x31 = -59.8647933434055
x32 = -53.5816080362259
x33 = 52.1853446346305
x34 = 4.01425727958696
x35 = -48.3456202802429
x36 = -17.9768912955416
x37 = -97.563905186483
x38 = -94.4223125328932
x39 = 36.4773813666815
x40 = 10.2974425867665
x41 = -75.5727566113545
x42 = -42.0624349730633
x43 = -13.7881010907552
x44 = 17.6278254451427
x45 = -33.6848545634906
x46 = -79.7615468161409
x47 = 83.6012711705284
x48 = 8.20304748437335
x49 = 58.46852994181
x50 = -22.165681500328
x51 = 50.0909495322373
x52 = -35.7792496658838
x53 = 94.0732466824944
x54 = 12.3918376891597
x55 = -39.9680398706701
x56 = -68.2423737529783
x57 = -61.9591884457987
x58 = -51.4872129338327
x59 = -64.0535835481919
x60 = 34.3829862642883
x61 = -15.8824961931484
x62 = 39.6189740202713
x63 = 67.8933079025794
x64 = 98.2620368872808
x65 = 69.9877030049726
x66 = -28.4488668075076
x67 = 23.9110107523223
x68 = 1.91986217719376
x69 = 32.2885911618951
x70 = -44.1568300754565
x71 = 91.9788515801012
x72 = 43.8077642250577
x73 = -83.9503370209273
x74 = 63.704517697793
x75 = 56.3741348394168
x76 = -90.2335223281068
x77 = -55.6760031386191
x78 = -92.3279174305
x79 = 45.9021593274509
x80 = 100.356431989674
x81 = -7.50491578357562
x82 = 26.0054058547155
x83 = -2.26892802759263
x84 = -6.45771823237902
x85 = 65.7989128001862
x86 = 85.6956662729216
x87 = 30.1941960595019
x88 = -96.5167076352864
x89 = 21.8166156499291
x90 = -4.36332312998582
x91 = -77.6671517137477
x92 = -20.0712863979348
x93 = 59.5157274930066
x94 = 74.176493209759
x95 = 14.4862327915529
x96 = -11.693705988362
x97 = 72.0820981073658
x98 = -24.2600766027212
x99 = -31.5904594610974
x100 = -50.4400153826361
x101 = -88.1391272257137
x101 = -88.1391272257137