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- La ecuación:
-
Ecuación x^2-8x=0
-
Ecuación x^2-8x+16=0
-
Ecuación -6(2x+1)=-42-3x
-
Ecuación 5x+3=4x+8
- Expresar {x} en función de y en la ecuación:
- 1*x+5*y=-17
- -10*x+18*y=6
- 15*x+9*y=5
- 20*x-18*y=-11
- Derivada de:
-
tg3x
- Integral de d{x}:
- tg3x
- Gráfico de la función y =:
- tg3x
-
Expresiones idénticas
- tg tres x=-√ tres /3
- tg3x es igual a menos √3 dividir por 3
- tg tres x es igual a menos √ tres dividir por 3
- tg3x=-√3 dividir por 3
-
Expresiones semejantes
- tan(x/3)=-(√3/3)
- tg(3*x)+tg(x)=1
- tg3x=+√3/3
tg3x=-√3/3 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
___
-\/ 3
tan(3*x) = -------
3
$$\tan{\left(3 x \right)} = \frac{\left(-1\right) \sqrt{3}}{3}$$
Solución detallada
Tenemos la ecuación
$$\tan{\left(3 x \right)} = \frac{\left(-1\right) \sqrt{3}}{3}$$
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:
$$x_{1} = \frac{\pi n}{3} - \frac{\pi}{18}$$
$$\tan{\left(3 x \right)} = \frac{\left(-1\right) \sqrt{3}}{3}$$
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 = 74.176493209759
x2 = -17.9768912955416
x3 = -20.0712863979348
x4 = -35.7792496658838
x5 = -11.693705988362
x6 = -37.873644768277
x7 = -44.1568300754565
x8 = -97.563905186483
x9 = 41.7133691226645
x10 = -22.165681500328
x11 = 37.5245789178781
x12 = 45.9021593274509
x13 = 14.4862327915529
x14 = 76.2708883121522
x15 = -75.5727566113545
x16 = -66.1479786505851
x17 = -29.4960643587042
x18 = 21.8166156499291
x19 = -79.7615468161409
x20 = -24.2600766027212
x21 = 47.9965544298441
x22 = 6.10865238198015
x23 = 32.2885911618951
x24 = -2.26892802759263
x25 = 8.20304748437335
x26 = -90.2335223281068
x27 = 87.7900613753148
x28 = 59.5157274930066
x29 = 43.8077642250577
x30 = -94.4223125328932
x31 = 80.4596785169386
x32 = 36.4773813666815
x33 = 58.46852994181
x34 = 10.2974425867665
x35 = 30.1941960595019
x36 = 100.356431989674
x37 = -61.9591884457987
x38 = 52.1853446346305
x39 = -99.6583002888762
x40 = -57.7703982410123
x41 = 94.0732466824944
x42 = -96.5167076352864
x43 = -46.2512251778497
x44 = -7.50491578357562
x45 = 89.884456477708
x46 = -50.4400153826361
x47 = -13.7881010907552
x48 = 1.91986217719376
x49 = 28.0998009571087
x50 = 34.3829862642883
x51 = -28.4488668075076
x52 = -51.4872129338327
x53 = 65.7989128001862
x54 = -26.3544717051144
x55 = -77.6671517137477
x56 = -83.9503370209273
x57 = -42.0624349730633
x58 = 4.01425727958696
x59 = 67.8933079025794
x60 = -59.8647933434055
x61 = 19.7222205475359
x62 = -81.8559419185341
x63 = -70.3367688553715
x64 = 17.6278254451427
x65 = 54.2797397370236
x66 = 78.3652834145454
x67 = -9.59931088596881
x68 = -86.0447321233204
x69 = 61.6101225953998
x70 = -6.45771823237902
x71 = 63.704517697793
x72 = -31.5904594610974
x73 = -68.2423737529783
x74 = 39.6189740202713
x75 = -48.3456202802429
x76 = 50.0909495322373
x77 = 69.9877030049726
x78 = -4.36332312998582
x79 = -55.6760031386191
x80 = -92.3279174305
x81 = 23.9110107523223
x82 = -0.174532925199433
x83 = -88.1391272257137
x84 = -64.0535835481919
x85 = 56.3741348394168
x86 = -15.8824961931484
x87 = 12.3918376891597
x88 = 72.0820981073658
x89 = 98.2620368872808
x90 = 91.9788515801012
x91 = 85.6956662729216
x92 = -33.6848545634906
x93 = -72.4311639577647
x94 = -39.9680398706701
x95 = 83.6012711705284
x96 = 96.1676417848876
x97 = 26.0054058547155
x98 = -53.5816080362259
x99 = -74.5255590601579
x100 = 81.5068760681352
x101 = 15.5334303427495
x101 = 15.5334303427495