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cos(x)=sqrt(1/(2)) la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src] 
           _____
cos(x) = \/ 0.5
cos⁡(x)=0.5\cos{\left(x \right)} = \sqrt{0.5}
Simplificar
Solución detallada
Tenemos la ecuación
cos⁡(x)=0.5\cos{\left(x \right)} = \sqrt{0.5}
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
x=πn+acos⁡(0.707106781186548)x = \pi n + \operatorname{acos}{\left(0.707106781186548 \right)}
x=πn−π+acos⁡(0.707106781186548)x = \pi n - \pi + \operatorname{acos}{\left(0.707106781186548 \right)}
O
x=πn+0.785398163397448x = \pi n + 0.785398163397448
x=πn−π+0.785398163397448x = \pi n - \pi + 0.785398163397448
, 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
0.785398163397448 + 5.49778714378214
0.785398163397448+5.497787143782140.785398163397448 + 5.49778714378214 
=
6.28318530717959
6.283185307179596.28318530717959 
producto
0.785398163397448*5.49778714378214
0.785398163397448⋅5.497787143782140.785398163397448 \cdot 5.49778714378214 
=
4.31795192547659
4.317951925476594.31795192547659 
4.31795192547659
Respuesta rápida [src] 
x1 = 0.785398163397448
x1=0.785398163397448x_{1} = 0.785398163397448 
x2 = 5.49778714378214
x2=5.49778714378214x_{2} = 5.49778714378214 
x2 = 5.49778714378214
Respuesta numérica [src] 
x1 = 63.6172512351933
x2 = -51.0508806208341
x3 = 43.1968989868597
x4 = 76.1836218495525
x5 = 57.3340659280137
x6 = 44.7676953136546
x7 = -38.484510006475
x8 = -11.7809724509617
x9 = 11.7809724509617
x10 = -62.0464549083984
x11 = 30.6305283725005
x12 = -176.714586764426
x13 = 80.8960108299372
x14 = 38.484510006475
x15 = -88.7499924639117
x16 = -87.1791961371168
x17 = 13.3517687777566
x18 = -30.6305283725005
x19 = 7.06858347057703
x20 = 32.2013246992954
x21 = -43.1968989868597
x22 = -7.06858347057703
x23 = 62.0464549083984
x24 = -101.316363078271
x25 = 88.7499924639117
x26 = -49.4800842940392
x27 = 36.9137136796801
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 = -68.329640215578
x41 = 99.7455667514759
x42 = -5.49778714378214
x43 = 42416.998610606
x44 = 24.3473430653209
x45 = 51.0508806208341
x46 = 25.9181393921158
x47 = -74.6128255227576
x48 = -351.072979038659
x49 = 93.4623814442964
x50 = -76.1836218495525
x51 = -55.7632696012188
x52 = -82.4668071567321
x53 = 95.0331777710912
x54 = 74.6128255227576
x55 = -19.6349540849362
x56 = -93.4623814442964
x57 = -13.3517687777566
x58 = 5.49778714378214
x59 = -99.7455667514759
x60 = -44.7676953136546
x61 = -18.0641577581413
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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