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ctan²((3π/2)+x/3)-2tan(x/3)=1 la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
   2/3*pi   x\        /x\    
cot |---- + -| - 2*tan|-| = 1
    \ 2     3/        \3/    
$$- 2 \tan{\left(\frac{x}{3} \right)} + \cot^{2}{\left(\frac{x}{3} + \frac{3 \pi}{2} \right)} = 1$$
Gráfica
Respuesta rápida [src]
     -3*pi
x1 = -----
       8  
$$x_{1} = - \frac{3 \pi}{8}$$
     9*pi
x2 = ----
      8  
$$x_{2} = \frac{9 \pi}{8}$$
x2 = 9*pi/8
Suma y producto de raíces [src]
suma
  3*pi   9*pi
- ---- + ----
   8      8  
$$- \frac{3 \pi}{8} + \frac{9 \pi}{8}$$
=
3*pi
----
 4  
$$\frac{3 \pi}{4}$$
producto
-3*pi 9*pi
-----*----
  8    8  
$$- \frac{3 \pi}{8} \frac{9 \pi}{8}$$
=
      2
-27*pi 
-------
   64  
$$- \frac{27 \pi^{2}}{64}$$
-27*pi^2/64
Respuesta numérica [src]
x1 = -86.0010988920206
x2 = 31.8086256175967
x3 = 93.0696823625976
x4 = 50.6581815391354
x5 = -48.3019870489431
x6 = 45.9457925587507
x7 = -67.1515429704818
x8 = -81.2887099116359
x9 = -62.4391539900971
x10 = 74.2201264410589
x11 = 27.096236637212
x12 = -34.164820107789
x13 = -38.8772090881737
x14 = 22.3838476568273
x15 = -57.7267650097125
x16 = 41.233403578366
x17 = 60.0829594999048
x18 = 55.3705705195201
x19 = -20.0276531666349
x20 = -43.5895980685584
x21 = -29.4524311274043
x22 = -76.5763209312512
x23 = 36.5210145979813
x24 = 64.7953484802895
x25 = -104.850654813559
x26 = -10.6028752058656
x27 = -95.42587685279
x28 = 17.6714586764426
x29 = 97.7820713429823
x30 = 12.9590696960579
x31 = -53.0143760293278
x32 = -24.7400421470196
x33 = -1.17809724509617
x34 = 111.919238284136
x35 = 8.24668071567321
x36 = 102.494460323367
x37 = -15.3152641862502
x38 = -5.89048622548086
x39 = -100.138265833175
x40 = -71.8639319508665
x41 = 83.6449044018282
x42 = 88.3572933822129
x43 = -90.7134878724053
x44 = 3.53429173528852
x45 = 69.5077374606742
x45 = 69.5077374606742