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cos(x/7)=-1 la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
   /x\     
cos|-| = -1
   \7/     
$$\cos{\left(\frac{x}{7} \right)} = -1$$
Solución detallada
Tenemos la ecuación
$$\cos{\left(\frac{x}{7} \right)} = -1$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$\frac{x}{7} = \pi n + \operatorname{acos}{\left(-1 \right)}$$
$$\frac{x}{7} = \pi n - \pi + \operatorname{acos}{\left(-1 \right)}$$
O
$$\frac{x}{7} = \pi n + \pi$$
$$\frac{x}{7} = \pi n$$
, donde n es cualquier número entero
Dividamos ambos miembros de la ecuación obtenida en
$$\frac{1}{7}$$
obtenemos la respuesta:
$$x_{1} = 7 \pi n + 7 \pi$$
$$x_{2} = 7 \pi n$$
Gráfica
Respuesta rápida [src]
x1 = 7*pi
$$x_{1} = 7 \pi$$
x1 = 7*pi
Suma y producto de raíces [src]
suma
7*pi
$$7 \pi$$
=
7*pi
$$7 \pi$$
producto
7*pi
$$7 \pi$$
=
7*pi
$$7 \pi$$
7*pi
Respuesta numérica [src]
x1 = -109.955742296545
x2 = 2836.85817471226
x3 = 21.991148585209
x4 = -65.9734439043292
x5 = 109.955741786578
x6 = -109.955739304565
x7 = 65.9734457530082
x8 = -21.9911476034353
x9 = 65.9734432592293
x10 = 65.9734489075445
x11 = 65.9734530846333
x12 = -21.9911480761133
x13 = 65.9734461421905
x14 = 21.9911511612625
x15 = -21.9911494163524
x16 = -65.9734493065658
x17 = 21.9911397696265
x18 = -65.9734482102566
x19 = -65.973449228882
x20 = -21.991151053773
x21 = -21.9911456173525
x22 = 65.9734368901863
x23 = 21.9911468737264
x24 = -21.9911516731028
x25 = 21.9911461027223
x26 = 65.9734449001142
x27 = 65.9734421405363
x28 = -21.9911556709859
x29 = -21.9911485864385
x30 = 21.9911521176244
x31 = 65.9734426367208
x32 = 21.9911449914601
x33 = -21.9911450076955
x34 = -21.9911520762816
x35 = 21.9911490333085
x36 = 65.9734492889902
x37 = 65.9734446694622
x38 = 109.955739381666
x39 = 65.9734492698185
x40 = -21.9911502838542
x41 = -65.9734457648986
x42 = -21.9911516565901
x43 = 21.9911560498887
x44 = -65.9734487980189
x45 = -21.9911495634843
x46 = -65.9734380239998
x47 = -21.9911450345957
x48 = 21.9911454818007
x49 = -21.9911467468757
x50 = 65.9734467128769
x51 = -109.955739897532
x52 = 21.9911454849446
x53 = 109.955750118269
x54 = 21.991151522556
x55 = -65.973454436764
x56 = -21.9911573388711
x57 = 21.9911495547231
x58 = 65.9734426265841
x59 = -65.9734466793023
x60 = 21.9911504105696
x61 = -65.9734427573824
x62 = 1253.4954691642
x63 = -21.9911454016721
x64 = -65.9734421561072
x65 = 21.9911477418788
x66 = -21.9911459950274
x67 = -65.9734425563067
x68 = 21.9911450763433
x69 = 21.991151752945
x70 = -65.9734465745794
x71 = -65.9734451860671
x72 = -109.955751525328
x73 = 109.955739768327
x74 = 21.9911521406704
x75 = -65.9734488279896
x76 = -21.9911409862258
x77 = -65.9734421868415
x78 = 65.9734440313146
x79 = 65.9734486623417
x80 = 65.9734475680066
x81 = -21.991152157574
x82 = 21.9911475527726
x83 = 65.9734422289926
x84 = -65.9734431513297
x85 = -65.9734474414272
x86 = 65.9734483175401
x87 = -109.955739339113
x88 = 109.955739289654
x89 = -65.9734447615984
x89 = -65.9734447615984