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tgx=-sqrt(2)-1/sqrt(2)-1 la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
             ___     1      
tan(x) = - \/ 2  - ----- - 1
                     ___    
                   \/ 2     
$$\tan{\left(x \right)} = \left(- \sqrt{2} - \frac{1}{\sqrt{2}}\right) - 1$$
Solución detallada
Tenemos la ecuación
$$\tan{\left(x \right)} = \left(- \sqrt{2} - \frac{1}{\sqrt{2}}\right) - 1$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$x = \pi n + \operatorname{atan}{\left(- \frac{3 \sqrt{2}}{2} - 1 \right)}$$
O
$$x = \pi n - \operatorname{atan}{\left(1 + \frac{3 \sqrt{2}}{2} \right)}$$
, donde n es cualquier número entero
Gráfica
Respuesta rápida [src]
          /        ___\
          |    3*\/ 2 |
x1 = -atan|1 + -------|
          \       2   /
$$x_{1} = - \operatorname{atan}{\left(1 + \frac{3 \sqrt{2}}{2} \right)}$$
x1 = -atan(1 + 3*sqrt(2)/2)
Suma y producto de raíces [src]
suma
     /        ___\
     |    3*\/ 2 |
-atan|1 + -------|
     \       2   /
$$- \operatorname{atan}{\left(1 + \frac{3 \sqrt{2}}{2} \right)}$$
=
     /        ___\
     |    3*\/ 2 |
-atan|1 + -------|
     \       2   /
$$- \operatorname{atan}{\left(1 + \frac{3 \sqrt{2}}{2} \right)}$$
producto
     /        ___\
     |    3*\/ 2 |
-atan|1 + -------|
     \       2   /
$$- \operatorname{atan}{\left(1 + \frac{3 \sqrt{2}}{2} \right)}$$
=
     /        ___\
     |    3*\/ 2 |
-atan|1 + -------|
     \       2   /
$$- \operatorname{atan}{\left(1 + \frac{3 \sqrt{2}}{2} \right)}$$
-atan(1 + 3*sqrt(2)/2)
Respuesta numérica [src]
x1 = -57.8094189845887
x2 = 14.4472120479765
x3 = -29.5350851022806
x4 = -2847.54369537233
x5 = 388.296737825162
x6 = -20.1103071415112
x7 = -1066.26066078691
x8 = 11.3056193943867
x9 = 23.8719900087459
x10 = 30.1551753159255
x11 = -32.6766777558704
x12 = -64.0926042917683
x13 = -67.2341969453581
x14 = -42.1014557166398
x15 = -98.650123481256
x16 = -70.3757895989479
x17 = -86.0837528668969
x18 = 36.4383606231051
x19 = -35.8182704094602
x20 = -7.54393652715203
x21 = 89.8454357341316
x22 = -51.5262336774091
x23 = 52.146323891054
x24 = -13.8271218343316
x25 = 58.4295091982336
x26 = 96.1286210413111
x27 = -73.5173822525377
x28 = 77.2790651197724
x29 = 67.854287159003
x30 = 174.668437381056
x31 = 45.8631385838745
x32 = 74.1374724661826
x33 = 1.88084143361735
x34 = -45.2430483702295
x35 = 8.16402674079694
x36 = -79.8005675597173
x37 = 80.4206577733622
x37 = 80.4206577733622