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sqrt(log(cos(x)))=0 la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
  _____________    
\/ log(cos(x))  = 0
$$\sqrt{\log{\left(\cos{\left(x \right)} \right)}} = 0$$
Solución detallada
Tenemos la ecuación
$$\sqrt{\log{\left(\cos{\left(x \right)} \right)}} = 0$$
cambiamos
$$\sqrt{\log{\left(\cos{\left(x \right)} \right)}} = 0$$
$$\sqrt{\log{\left(\cos{\left(x \right)} \right)}} = 0$$
Sustituimos
$$w = \log{\left(\cos{\left(x \right)} \right)}$$
Tenemos la ecuación
$$\sqrt{w} = 0$$
es decir
$$w = 0$$
Obtenemos la respuesta: w = 0
hacemos cambio inverso
$$\log{\left(\cos{\left(x \right)} \right)} = w$$
sustituimos w:
Gráfica
Suma y producto de raíces [src]
suma
2*pi
$$2 \pi$$
=
2*pi
$$2 \pi$$
producto
0*2*pi
$$0 \cdot 2 \pi$$
=
0
$$0$$
0
Respuesta rápida [src]
x1 = 0
$$x_{1} = 0$$
x2 = 2*pi
$$x_{2} = 2 \pi$$
x2 = 2*pi
Respuesta numérica [src]
x1 = -43.9822971502571
x2 = -31.4159265358979
x3 = -50.2654824574367
x4 = 6.28318530717959
x5 = 37.6991118430775
x6 = 56.5486677646163 - 1.67463083618853e-19*i
x7 = -94.2477796076938 - 8.58126439707397e-17*i
x8 = 94.2477796076938
x9 = 50.2654824574367
x10 = 56.5486677646163
x11 = 43.9822971502571
x12 = -56.5486677646163
x13 = -6.28318530717959 + 2.62433077408392e-16*i
x14 = -62.8318530717959
x15 = -6.28318530717959
x16 = -25.1327412287183
x17 = -75.398223686155
x18 = -69.1150383789755
x19 = -18.8495559215388
x20 = 62.8318530717959
x21 = 25.1327412287183
x22 = 100.530964914873
x23 = -87.9645943005142
x24 = 81.6814089933346
x25 = 75.398223686155
x26 = 12.5663706143592
x27 = 69.1150383789755
x28 = 0.0
x29 = -37.6991118430775
x30 = -81.6814089933346
x31 = 31.4159265358979
x32 = -12.5663706143592
x33 = 87.9645943005142
x34 = -94.2477796076938
x35 = -100.530964914873
x36 = 18.8495559215388
x36 = 18.8495559215388