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cos(x/9)=1 la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
   /x\    
cos|-| = 1
   \9/    
$$\cos{\left(\frac{x}{9} \right)} = 1$$
Solución detallada
Tenemos la ecuación
$$\cos{\left(\frac{x}{9} \right)} = 1$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$\frac{x}{9} = \pi n + \operatorname{acos}{\left(1 \right)}$$
$$\frac{x}{9} = \pi n - \pi + \operatorname{acos}{\left(1 \right)}$$
O
$$\frac{x}{9} = \pi n$$
$$\frac{x}{9} = \pi n - \pi$$
, donde n es cualquier número entero
Dividamos ambos miembros de la ecuación obtenida en
$$\frac{1}{9}$$
obtenemos la respuesta:
$$x_{1} = 9 \pi n$$
$$x_{2} = 9 \pi n - 9 \pi$$
Gráfica
Respuesta rápida [src]
x1 = 0
$$x_{1} = 0$$
x2 = 18*pi
$$x_{2} = 18 \pi$$
x2 = 18*pi
Suma y producto de raíces [src]
suma
18*pi
$$18 \pi$$
=
18*pi
$$18 \pi$$
producto
0*18*pi
$$0 \cdot 18 \pi$$
=
0
$$0$$
0
Respuesta numérica [src]
x1 = -113.097330912662
x2 = 3.99952576786041e-6
x3 = 56.5486664969886
x4 = -56.5486633705578
x5 = -56.5486692538041
x6 = 1.79979311951026e-6
x7 = 56.5486716152767
x8 = -56.5486719532777
x9 = -56.5486648763915
x10 = 113.097330905433
x11 = 113.097335508406
x12 = -56.5486632545295
x13 = 113.0973312211
x14 = -113.097330955788
x15 = 56.5486631329856
x16 = -4.35929093931589e-6
x17 = 56.5486684948971
x18 = -56.5486665384464
x19 = 56.5486658017402
x20 = 56.5486703414801
x21 = -113.097336222754
x22 = 56.5486637053659
x23 = 113.097332322486
x24 = 3.81680286710203e-6
x25 = 56.5486649936408
x26 = -3.29798476230785e-6
x27 = 395.840674243712
x28 = 113.097342760324
x29 = -2.18247998318066e-6
x30 = -56.5486636287529
x31 = 4.42852350030291e-6
x32 = -56.548672030738
x33 = 0.0
x34 = 56.5486693889574
x35 = 56.5486642834114
x36 = -4.54517853423617e-6
x37 = 56.548663315428
x38 = 113.097345149831
x39 = -56.548667016645
x40 = -1.7282395296426e-6
x41 = 1.86102119858816e-6
x42 = 56.5486675986468
x43 = -56.5486641838047
x44 = 3.14393296487744e-6
x45 = -113.097346554163
x46 = -3.91601808639526e-6
x47 = -21205.7504180182
x48 = -56.5486643117167
x49 = -56.5486715253325
x50 = -4.3726591878204e-6
x51 = -56.5486701022969
x52 = 56.548672094912
x53 = -56.5486706264781
x54 = 3.40293264884714e-6
x55 = -56.5486708702094
x56 = -56.5486705250625
x57 = -56.5486683536205
x58 = -56.5486564225454
x59 = 4.51050412351099e-6
x60 = -8.39774300931752e-7
x61 = 56.5486577925562
x62 = 56.5486702271598
x63 = 56.5486723684344
x64 = -3.94997780625812e-6
x65 = 4.6330685050018e-6
x66 = 113.097330992978
x67 = 2092.30069375936
x68 = -56.5486723379697
x69 = -56.5486656716686
x70 = 56.5486709801139
x71 = -113.097331300753
x72 = 56.548666676793
x73 = 56.5486718549562
x74 = -56.5486723681162
x75 = 2.67890850229529e-6
x76 = -113.09733255913
x77 = -56.5486674525226
x78 = -2.5576746018746e-6
x79 = -4.61385926358524e-6
x80 = 9.79674400153932e-7
x81 = 56.5486658600797
x82 = 56.5486723508819
x83 = -56.5486753934005
x84 = -56.5486631262409
x85 = -56.5486667413783
x86 = 56.5486738066388
x87 = 56.5486641338708
x88 = -5881.06144828251
x89 = 56.5486633014318
x89 = 56.5486633014318