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- La ecuación:
-
Ecuación 8*x=2
-
Ecuación 3^x=81
-
Ecuación x^2=12
-
Ecuación -27x+220=-5x
- Expresar {x} en función de y en la ecuación:
- 4*x-1*y=-3
- -11*x+9*y=-20
- 9*x+17*y=13
- -17*x+2*y=9
- Derivada de:
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tan(4*x)
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sqrt(3)
- Gráfico de la función y =:
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tan(4*x)
- Límite de la función:
-
tan(4*x)
-
sqrt(3)
- Integral de d{x}:
- sqrt(3)
-
Expresiones idénticas
- tan(cuatro *x)=sqrt(tres)
- tangente de (4 multiplicar por x) es igual a raíz cuadrada de (3)
- tangente de (cuatro multiplicar por x) es igual a raíz cuadrada de (tres)
- tan(4*x)=√(3)
- tan(4x)=sqrt(3)
- tan4x=sqrt3
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Expresiones semejantes
- tan4(x)=-1
- tan(4*x-pi/5)=sqrt(3)
- tan((4*x+pi)/4)=sqrt(3)/3
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Expresiones con funciones
- Tangente tan
- tan(a-3/4*pi)*(1-sin(2*d))=cos(2*d)
- tan(p)*i*(8*x+5)/3=3*sqrt(x)
- tan(-22.3°)=2*tan(x°)
- tan(a)=-2/7
- tan(x)/(x)^0.3
- Raíz cuadrada sqrt
- sqrt(3*x+1)=x-1
- sqrt3x+1=-9
- sqrt(7-x)+x=5
- sqrt(2/(5*x-18))=1/6
- sqrt(sin^4x+1)+sqrt(cos^4x+1)=5
tan(4*x)=sqrt(3) la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Solución detallada
Tenemos la ecuación
$$\tan{\left(4 x \right)} = \sqrt{3}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$4 x = \pi n + \operatorname{atan}{\left(\sqrt{3} \right)}$$
O
$$4 x = \pi n + \frac{\pi}{3}$$
, donde n es cualquier número entero
Dividamos ambos miembros de la ecuación obtenida en
$$4$$
obtenemos la respuesta:
$$x_{1} = \frac{\pi n}{4} + \frac{\pi}{12}$$
$$\tan{\left(4 x \right)} = \sqrt{3}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$4 x = \pi n + \operatorname{atan}{\left(\sqrt{3} \right)}$$
O
$$4 x = \pi n + \frac{\pi}{3}$$
, donde n es cualquier número entero
Dividamos ambos miembros de la ecuación obtenida en
$$4$$
obtenemos la respuesta:
$$x_{1} = \frac{\pi n}{4} + \frac{\pi}{12}$$
Suma y producto de raíces
[src]
suma
pi -- 12
$$\frac{\pi}{12}$$
=
pi -- 12
$$\frac{\pi}{12}$$
producto
pi -- 12
$$\frac{\pi}{12}$$
=
pi -- 12
$$\frac{\pi}{12}$$
pi/12
Respuesta numérica
[src]
x1 = -23.3001455141243
x2 = -53.9306738866248
x3 = 82.7286065445312
x4 = 6.54498469497874
x5 = -25.6563400043166
x6 = -69.6386371545737
x7 = -99.4837673636768
x8 = -31.9395253114962
x9 = 70.162235930172
x10 = 54.4542726622231
x11 = -39.7935069454707
x12 = 50.5272818452358
x13 = -85.3466004225227
x14 = 48.1710873550435
x15 = -47.6474885794452
x16 = 34.0339204138894
x17 = -73.565627971561
x18 = 46.6002910282486
x19 = -41.3643032722656
x20 = -35.8665161284835
x21 = 2.61799387799149
x22 = 58.3812634792103
x23 = -91.6297857297023
x24 = -9.94837673636768
x25 = 98.4365698124802
x26 = -77.4926187885482
x27 = 32.4631240870945
x28 = -7.59218224617533
x29 = -51.5744793964324
x30 = 72.5184304203644
x31 = 42.6733002112614
x32 = -13.8753675533549
x33 = 78.0162175641465
x34 = 30.1069295969022
x35 = -55.5014702134197
x36 = -71.9948316447661
x37 = 60.7374579694027
x38 = 38.7463093942741
x39 = 90.5825881785057
x40 = 26.1799387799149
x41 = 28.5361332701073
x42 = -45.2912940892529
x43 = -93.9859802198946
x44 = 92.1533845053006
x45 = 62.3082542961976
x46 = -17.8023583703422
x47 = -95.5567765466895
x48 = 64.6644487863899
x49 = 96.0803753222878
x50 = 88.2263936883134
x51 = -63.3554518473942
x52 = -97.9129710368819
x53 = 8.11578102177363
x54 = -79.8488132787406
x55 = 18.3259571459405
x56 = -87.7027949127151
x57 = -1.30899693899575
x58 = 52.0980781720307
x59 = 24.60914245312
x60 = -81.4196096055355
x61 = 10.471975511966
x62 = -65.7116463375865
x63 = -59.4284610304069
x64 = -75.9218224617533
x65 = -19.3731546971371
x66 = -61.7846555205993
x67 = -37.4373124552784
x68 = -28.012534494509
x69 = 4.18879020478639
x70 = 0.261799387799149
x71 = 14.3989663289532
x72 = 68.5914396033772
x73 = 66.2352451131848
x74 = 100.007366139275
x75 = 36.3901149040818
x76 = -57.857664703612
x77 = 20.6821516361328
x78 = -89.27359123951
x79 = 12.0427718387609
x80 = -3.66519142918809
x81 = 15.9697626557481
x82 = 40.317105721069
x83 = 84.2994028713261
x84 = 74.0892267471593
x85 = -11.5191730631626
x86 = -50.0036830696375
x87 = -33.5103216382911
x88 = -15.4461638801498
x89 = 44.2440965380563
x90 = -83.7758040957278
x91 = 22.2529479629277
x92 = 86.6555973615185
x93 = 80.3724120543389
x94 = -43.720497762458
x95 = -29.5833308213039
x96 = -6.02138591938044
x97 = 76.4454212373516
x98 = -21.7293491873294
x99 = -67.2824426643814
x100 = 94.5095789954929
x101 = 56.025068989018
x101 = 56.025068989018