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cos(x)=(1/√2) la ecuación

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Solución numérica:

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Solución

Ha introducido [src] 
           1  
cos(x) = -----
           ___
         \/ 2
cos⁡(x)=12\cos{\left(x \right)} = \frac{1}{\sqrt{2}}
Simplificar
Solución detallada
Tenemos la ecuación
cos⁡(x)=12\cos{\left(x \right)} = \frac{1}{\sqrt{2}}
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
x=πn+acos⁡(22)x = \pi n + \operatorname{acos}{\left(\frac{\sqrt{2}}{2} \right)}
x=πn−π+acos⁡(22)x = \pi n - \pi + \operatorname{acos}{\left(\frac{\sqrt{2}}{2} \right)}
O
x=πn+π4x = \pi n + \frac{\pi}{4}
x=πn−3π4x = \pi n - \frac{3 \pi}{4}
, donde n es cualquier número entero
Gráfica
0-80-60-40-2020406080-1001002-2
Trazar el gráfico f1(x)
Trazar el gráfico f2(x)
Suma y producto de raíces [src] 
suma
pi   7*pi
-- + ----
4     4
π4+7π4\frac{\pi}{4} + \frac{7 \pi}{4} 
=
2*pi
2π2 \pi 
producto
pi 7*pi
--*----
4   4
π47π4\frac{\pi}{4} \frac{7 \pi}{4} 
=
    2
7*pi 
-----
  16
7π216\frac{7 \pi^{2}}{16} 
7*pi^2/16
Respuesta rápida [src] 
     pi
x1 = --
     4
x1=π4x_{1} = \frac{\pi}{4} 
     7*pi
x2 = ----
      4
x2=7π4x_{2} = \frac{7 \pi}{4} 
x2 = 7*pi/4
Respuesta numérica [src] 
x1 = 63.6172512351933
x2 = -51.0508806208341
x3 = -182.997772071605
x4 = 43.1968989868597
x5 = 76.1836218495525
x6 = 57.3340659280137
x7 = 44.7676953136546
x8 = -11.7809724509617
x9 = 11.7809724509617
x10 = -38.484510006475
x11 = -62.0464549083984
x12 = 30.6305283725005
x13 = 80.8960108299372
x14 = 38.484510006475
x15 = -88.7499924639117
x16 = -87.1791961371168
x17 = 13.3517687777566
x18 = -30.6305283725005
x19 = 32.2013246992954
x20 = 7.06858347057703
x21 = -43.1968989868597
x22 = -7.06858347057703
x23 = 62.0464549083984
x24 = -101.316363078271
x25 = 36.9137136796801
x26 = 88.7499924639117
x27 = -49.4800842940392
x28 = -68.329640215578
x29 = -63.6172512351933
x30 = 49.4800842940392
x31 = -95.0331777710912
x32 = -24.3473430653209
x33 = 69.9004365423729
x34 = -25.9181393921158
x35 = -32.2013246992954
x36 = -0.785398163397448
x37 = 55.7632696012188
x38 = 87.1791961371168
x39 = 19.6349540849362
x40 = 99.7455667514759
x41 = -5.49778714378214
x42 = 51.0508806208341
x43 = 24.3473430653209
x44 = 25.9181393921158
x45 = -82.4668071567321
x46 = -74.6128255227576
x47 = 93.4623814442964
x48 = -351.072979038659
x49 = -55.7632696012188
x50 = 68.329640215578
x51 = -76.1836218495525
x52 = 74.6128255227576
x53 = -19.6349540849362
x54 = -13.3517687777566
x55 = -93.4623814442964
x56 = -162.577419823272
x57 = 5.49778714378214
x58 = 95.0331777710912
x59 = -99.7455667514759
x60 = -18.0641577581413
x61 = -44.7676953136546
x62 = 0.785398163397448
x63 = -36.9137136796801
x64 = -80.8960108299372
x65 = -69.9004365423729
x66 = -57.3340659280137
x67 = 82.4668071567321
x68 = 18.0641577581413
x68 = 18.0641577581413
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