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- La ecuación:
-
Ecuación sin(x/3)=-1/2
-
Ecuación (x-5)/2=2*(3x/7-1/2)/3
-
Ecuación 9-2(-4x+7)=7
-
Ecuación cos(x)=sqrt(2)/2
- Expresar {x} en función de y en la ecuación:
- 7*x+13*y=-13
- 4*x+18*y=-7
- -18*x-1*y=-11
- 2*x+2*y=-6
-
Expresiones idénticas
- tg2x- uno = cero
- tg2x menos 1 es igual a 0
- tg2x menos uno es igual a cero
- tg2x-1=O
-
Expresiones semejantes
- (cos2x+1)tg^2x-1=0
- tg2x+1=0
- 3(tg^2(x)-1)*sqrt(-5cosx)=0
tg2x-1=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Solución detallada
Tenemos la ecuación
$$\tan{\left(2 x \right)} - 1 = 0$$
es la ecuación trigonométrica más simple
Obtenemos:
$$\tan{\left(2 x \right)} = 1$$
Esta ecuación se reorganiza en
$$2 x = \pi n + \operatorname{atan}{\left(1 \right)}$$
O
$$2 x = \pi n + \frac{\pi}{4}$$
, donde n es cualquier número entero
Dividamos ambos miembros de la ecuación obtenida en
$$2$$
obtenemos la respuesta:
$$x_{1} = \frac{\pi n}{2} + \frac{\pi}{8}$$
$$\tan{\left(2 x \right)} - 1 = 0$$
es la ecuación trigonométrica más simple
Transportemos -1 al miembro derecho de la ecuación
cambiando el signo de -1
Obtenemos:
$$\tan{\left(2 x \right)} = 1$$
Esta ecuación se reorganiza en
$$2 x = \pi n + \operatorname{atan}{\left(1 \right)}$$
O
$$2 x = \pi n + \frac{\pi}{4}$$
, donde n es cualquier número entero
Dividamos ambos miembros de la ecuación obtenida en
$$2$$
obtenemos la respuesta:
$$x_{1} = \frac{\pi n}{2} + \frac{\pi}{8}$$
Suma y producto de raíces
[src]
suma
pi -- 8
$$\frac{\pi}{8}$$
=
pi -- 8
$$\frac{\pi}{8}$$
producto
pi -- 8
$$\frac{\pi}{8}$$
=
pi -- 8
$$\frac{\pi}{8}$$
pi/8
Respuesta numérica
[src]
x1 = -59.2975613365073
x2 = -21.5984494934298
x3 = -13.7444678594553
x4 = -90.7134878724053
x5 = -37.3064127613788
x6 = 49.0873852123405
x7 = -46.7311907221482
x8 = -45.1603943953533
x9 = -42.0188017417635
x10 = 50.6581815391354
x11 = -49.872783375738
x12 = -35.7356164345839
x13 = 74.2201264410589
x14 = -9.03207887907065
x15 = 82.0741080750334
x16 = 53.7997741927252
x17 = -100.138265833175
x18 = 42.8041999051609
x19 = -34.164820107789
x20 = -43.5895980685584
x21 = 16.1006623496477
x22 = -31.0232274541992
x23 = -20.0276531666349
x24 = 6.67588438887831
x25 = -23.1692458202247
x26 = -87.5718952188155
x27 = -1.17809724509617
x28 = 45.9457925587507
x29 = 28.6670329640069
x30 = 78.9325154214436
x31 = -38.8772090881737
x32 = -71.8639319508665
x33 = -65.5807466436869
x34 = 88.3572933822129
x35 = 100.923663996572
x36 = 27.096236637212
x37 = 96.2112750161874
x38 = 22.3838476568273
x39 = -5.89048622548086
x40 = -27.8816348006094
x41 = -56.1559686829176
x42 = 38.0918109247762
x43 = 36.5210145979813
x44 = -89.1426915456104
x45 = -75.0055246044563
x46 = -60.8683576633022
x47 = 12.9590696960579
x48 = 64.7953484802895
x49 = 30.2378292908018
x50 = 44.3749962319558
x51 = 9.8174770424681
x52 = 1.96349540849362
x53 = -95.42587685279
x54 = -2.74889357189107
x55 = 8.24668071567321
x56 = 75.7909227678538
x57 = 52.2289778659303
x58 = 5.10508806208341
x59 = 14.5298660228528
x60 = -15.3152641862502
x61 = 89.9280897090078
x62 = -16.8860605130451
x63 = -24.7400421470196
x64 = 41.233403578366
x65 = 72.649330114264
x66 = 85.2157007286231
x67 = 67.9369411338793
x68 = -96.9966731795849
x69 = 58.5121631731099
x70 = -51.4435797025329
x71 = 66.3661448070844
x72 = -78.1471172580461
x73 = 63.2245521534946
x74 = -57.7267650097125
x75 = 19.2422550032375
x76 = 93.0696823625976
x77 = -81.2887099116359
x78 = 97.7820713429823
x79 = -7.46128255227576
x80 = 86.786497055418
x81 = -64.009950316892
x82 = -53.0143760293278
x83 = 80.5033117482384
x84 = -86.0010988920206
x85 = 94.6404786893925
x86 = -67.1515429704818
x87 = 56.941366846315
x88 = -93.8550805259951
x89 = 23.9546439836222
x90 = 34.9502182711865
x91 = 0.392699081698724
x92 = 20.8130513300324
x93 = -12.1736715326604
x94 = 71.0785337874691
x95 = 31.8086256175967
x96 = -79.717913584841
x97 = -73.4347282776614
x98 = -68.7223392972767
x99 = -29.4524311274043
x100 = -82.8595062384308
x101 = 60.0829594999048
x101 = 60.0829594999048