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cosx=√3÷2 la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
           ___
         \/ 3 
cos(x) = -----
           2  
$$\cos{\left(x \right)} = \frac{\sqrt{3}}{2}$$
Solución detallada
Tenemos la ecuación
$$\cos{\left(x \right)} = \frac{\sqrt{3}}{2}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$x = \pi n + \operatorname{acos}{\left(\frac{\sqrt{3}}{2} \right)}$$
$$x = \pi n - \pi + \operatorname{acos}{\left(\frac{\sqrt{3}}{2} \right)}$$
O
$$x = \pi n + \frac{\pi}{6}$$
$$x = \pi n - \frac{5 \pi}{6}$$
, donde n es cualquier número entero
Gráfica
Respuesta rápida [src]
     pi
x1 = --
     6 
$$x_{1} = \frac{\pi}{6}$$
     11*pi
x2 = -----
       6  
$$x_{2} = \frac{11 \pi}{6}$$
x2 = 11*pi/6
Suma y producto de raíces [src]
suma
pi   11*pi
-- + -----
6      6  
$$\frac{\pi}{6} + \frac{11 \pi}{6}$$
=
2*pi
$$2 \pi$$
producto
pi 11*pi
--*-----
6    6  
$$\frac{\pi}{6} \frac{11 \pi}{6}$$
=
     2
11*pi 
------
  36  
$$\frac{11 \pi^{2}}{36}$$
11*pi^2/36
Respuesta numérica [src]
x1 = -75.9218224617533
x2 = 38.2227106186758
x3 = 30.8923277602996
x4 = -74.8746249105567
x5 = -56.025068989018
x6 = 44.5058959258554
x7 = -38.2227106186758
x8 = 0.523598775598299
x9 = 50.789081233035
x10 = 75.9218224617533
x11 = -37.1755130674792
x12 = 6.80678408277789
x13 = 63.3554518473942
x14 = 31.9395253114962
x15 = -57.0722665402146
x16 = 1168.1488683598
x17 = -62.3082542961976
x18 = 18.3259571459405
x19 = -0.523598775598299
x20 = -24.60914245312
x21 = -44.5058959258554
x22 = -94.7713783832921
x23 = -18.3259571459405
x24 = -100.007366139275
x25 = -25.6563400043166
x26 = -82.2050077689329
x27 = 94.7713783832921
x28 = -6.80678408277789
x29 = -5.75958653158129
x30 = -101.054563690472
x31 = 25.6563400043166
x32 = -81.1578102177363
x33 = 74.8746249105567
x34 = -30.8923277602996
x35 = 37.1755130674792
x36 = -93.7241808320955
x37 = 13.0899693899575
x38 = 12.0427718387609
x39 = 194.255145746969
x40 = 24.60914245312
x41 = 19.3731546971371
x42 = -88.4881930761125
x43 = -50.789081233035
x44 = 49.7418836818384
x45 = 57.0722665402146
x46 = 43.4586983746588
x47 = 62.3082542961976
x48 = -12.0427718387609
x49 = -68.5914396033772
x50 = -87.4409955249159
x51 = 68.5914396033772
x52 = 88.4881930761125
x53 = -13.0899693899575
x54 = 100.007366139275
x55 = -49.7418836818384
x56 = -19.3731546971371
x57 = -69.6386371545737
x58 = 93.7241808320955
x59 = 82.2050077689329
x60 = 81.1578102177363
x61 = -63.3554518473942
x62 = 69.6386371545737
x63 = 56.025068989018
x64 = 87.4409955249159
x65 = -31.9395253114962
x66 = 5.75958653158129
x67 = -43.4586983746588
x67 = -43.4586983746588