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- La ecuación:
-
Ecuación (x-5)^2=(x+10)^2
-
Ecuación 2-3*(2*x+2)=5-4*x
-
Ecuación x^4=(4x-21)^2
-
Ecuación (x+2)/9=(x-3)/2
- Expresar {x} en función de y en la ecuación:
- 7*x-19*y=-8
- 18*x-11*y=2
- -11*x+10*y=-9
- 6*x-2*y=20
- Derivada de:
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tg(3x)
- Integral de d{x}:
- tg(3x)
-
Expresiones idénticas
- tg(tres x)=3^(uno / dos)
- tg(3x) es igual a 3 en el grado (1 dividir por 2)
- tg(tres x) es igual a 3 en el grado (uno dividir por dos)
- tg(3x)=3(1/2)
- tg3x=31/2
- tg3x=3^1/2
- tg(3x)=3^(1 dividir por 2)
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Expresiones semejantes
- sin(arctg3x)=3x/√1+9x^2
- arcctg*(3*x^2-1)=arcctg*(2*x^2+x+1)
- (0,5*x)*arctg(3*x)+(0,3*x)*arctg(x)=-pi+pi/4
- tgx-1/3×tg^3x-1/5×tg^5x=0
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Expresiones con funciones
- tg
- tgx=1/(2tg15)
- tg((pi(4x-21))/6)=(sqrt(3))/3
- tg2x+(cos2x)/(1+sin2x)=2
- tgx=1/(sqrt(8)-3)+sqrt(8)
- tgx=1/6
tg(3x)=3^(1/2) la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Solución detallada
Tenemos la ecuación
$$\tan{\left(3 x \right)} = \sqrt{3}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$3 x = \pi n + \operatorname{atan}{\left(\sqrt{3} \right)}$$
O
$$3 x = \pi n + \frac{\pi}{3}$$
, donde n es cualquier número entero
Dividamos ambos miembros de la ecuación obtenida en
$$3$$
obtenemos la respuesta:
$$x_{1} = \frac{\pi n}{3} + \frac{\pi}{9}$$
$$\tan{\left(3 x \right)} = \sqrt{3}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$3 x = \pi n + \operatorname{atan}{\left(\sqrt{3} \right)}$$
O
$$3 x = \pi n + \frac{\pi}{3}$$
, donde n es cualquier número entero
Dividamos ambos miembros de la ecuación obtenida en
$$3$$
obtenemos la respuesta:
$$x_{1} = \frac{\pi n}{3} + \frac{\pi}{9}$$
Suma y producto de raíces
[src]
suma
pi -- 9
$$\frac{\pi}{9}$$
=
pi -- 9
$$\frac{\pi}{9}$$
producto
pi -- 9
$$\frac{\pi}{9}$$
=
pi -- 9
$$\frac{\pi}{9}$$
pi/9
Respuesta numérica
[src]
x1 = -83.4267382453289
x2 = -93.8987137572949
x3 = -65.6243798749868
x4 = 8.72664625997165
x5 = -91.8043186549017
x6 = 42.2369678982628
x7 = -74.0019602845596
x8 = 40.1425727958696
x9 = 35.9537825910832
x10 = 78.8888821901437
x11 = 96.6912405604859
x12 = 0.349065850398866
x13 = 86.2192650485199
x14 = -8.02851455917392
x15 = 70.5113017805709
x16 = -45.7276264022514
x17 = -95.9931088596881
x18 = -31.0668606854991
x19 = 4.53785605518526
x20 = 90.4080552533063
x21 = 50.6145483078356
x22 = 44.331363000656
x23 = 30.7177948351002
x24 = -97.0403064108847
x25 = 6.63225115757845
x26 = -39.4444410950718
x27 = 60.0393262686049
x28 = 2.44346095279206
x29 = -61.4355896702004
x30 = -99.1347015132779
x31 = -87.6155284501153
x32 = 34.9065850398866
x33 = -59.3411945678072
x34 = -25.8308729295161
x35 = -33.1612557878923
x36 = 54.8033385126219
x37 = -19.5476876223365
x38 = -49.9164166070378
x39 = 26.5290046303138
x40 = -5.93411945678072
x41 = 64.2281164733913
x42 = -85.5211333477222
x43 = 13.9626340159546
x44 = -69.8131700797732
x45 = 32.8121899374934
x46 = 20.2458193231342
x47 = 38.0481776934764
x48 = -17.4532925199433
x49 = -75.0491578357562
x50 = -52.010811709431
x51 = 57.9449311662117
x52 = 10.8210413623648
x53 = -77.1435529381494
x54 = -53.0580092606276
x55 = 48.5201532054424
x56 = -89.7099235525085
x57 = 56.8977336150151
x58 = 76.7944870877505
x59 = 94.5968454580927
x60 = -81.3323431429358
x61 = 68.4169066781777
x62 = -71.9075651821664
x63 = -23.7364778271229
x64 = 22.3402144255274
x65 = -43.6332312998582
x66 = -63.5299847725936
x67 = -11.1701072127637
x68 = 16.0570291183478
x69 = -41.538836197465
x70 = -57.246799465414
x71 = -35.2556508902855
x72 = 12.915436464758
x73 = 18.151424220741
x74 = 46.4257581030492
x75 = 72.6056968829641
x76 = -15.3588974175501
x77 = -1.74532925199433
x78 = 84.1248699461267
x79 = 52.7089434102288
x80 = -13.2645023151569
x81 = 74.7000919853573
x82 = -30.0196631343025
x83 = -67.71877497738
x84 = -47.8220215046446
x85 = 24.4346095279206
x86 = -79.2379480405426
x87 = 62.1337213709981
x88 = 66.3225115757845
x89 = -21.6420827247297
x90 = -27.9252680319093
x91 = 98.7856356628791
x92 = -37.3500459926787
x93 = 88.3136601509131
x94 = 82.0304748437335
x95 = 100.880030765272
x96 = 92.5024503556995
x97 = -3.83972435438753
x98 = 28.623399732707
x99 = -55.1524043630208
x99 = -55.1524043630208