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3*tan(x)+2*cot(x)+5=0 la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
3*tan(x) + 2*cot(x) + 5 = 0
$$\left(3 \tan{\left(x \right)} + 2 \cot{\left(x \right)}\right) + 5 = 0$$
Gráfica
Suma y producto de raíces [src]
suma
  pi            
- -- - atan(2/3)
  4             
$$- \frac{\pi}{4} - \operatorname{atan}{\left(\frac{2}{3} \right)}$$
=
             pi
-atan(2/3) - --
             4 
$$- \frac{\pi}{4} - \operatorname{atan}{\left(\frac{2}{3} \right)}$$
producto
-pi              
----*(-atan(2/3))
 4               
$$- \frac{\pi}{4} \left(- \operatorname{atan}{\left(\frac{2}{3} \right)}\right)$$
=
pi*atan(2/3)
------------
     4      
$$\frac{\pi \operatorname{atan}{\left(\frac{2}{3} \right)}}{4}$$
pi*atan(2/3)/4
Respuesta rápida [src]
     -pi 
x1 = ----
      4  
$$x_{1} = - \frac{\pi}{4}$$
x2 = -atan(2/3)
$$x_{2} = - \operatorname{atan}{\left(\frac{2}{3} \right)}$$
x2 = -atan(2/3)
Respuesta numérica [src]
x1 = 52.621676947629
x2 = -97.9773748648312
x3 = -6.87118791072715
x4 = 27987.6635526681
x5 = 71.4712328691678
x6 = -3.72959525713736
x7 = 46.5358872002993
x8 = -51.0508806208341
x9 = -69.9004365423729
x10 = -32.0039291394455
x11 = 46.3384916404494
x12 = 2.55359005004223
x13 = -69.703040982523
x14 = -98.174770424681
x15 = 203.615519879789
x16 = 77.9518137361973
x17 = 33.9695165859402
x18 = -19.4375585250863
x19 = 36.9137136796801
x20 = -7.06858347057703
x21 = 90.5181843505564
x22 = 84.2349990433768
x23 = -75.9862262897026
x24 = 30.6305283725005
x25 = 52.8190725074789
x26 = -16.2959658714965
x27 = 115.453530019425
x28 = -25.7207438322659
x29 = -47.7118924073945
x30 = 159.633222729532
x31 = -19.6349540849362
x32 = 68.329640215578
x33 = -57.3340659280137
x34 = 99.9429623113258
x35 = -201.847327993144
x36 = 93.6597770041462
x37 = 62.2438504682483
x38 = -85.6083998103219
x39 = 40.0553063332699
x40 = 40.2527018931197
x41 = -72.8446336361128
x42 = 8.63937979737193
x43 = -79.1278189432924
x44 = -60.2782630217536
x45 = -79.3252145031423
x46 = 24.3473430653209
x47 = -25.9181393921158
x48 = -53.9950777145741
x49 = -44.5702997538047
x50 = -82.2694115968822
x51 = -13.3517687777566
x52 = 5.69518270363202
x53 = 27.6863312787606
x54 = 99.7455667514759
x55 = 90.3207887907066
x56 = 18.2615533179912
x57 = -50.8534850609843
x58 = -95.0331777710912
x59 = -35.3429173528852
x60 = -29.0597320457056
x61 = 14.9225651045515
x62 = 55.7632696012188
x63 = -41.6261026600648
x64 = 2.35619449019234
x65 = -76.1836218495525
x66 = 58.9048622548086
x67 = -10.0127805643169
x68 = 80.8960108299372
x69 = 74.6128255227576
x70 = -91.6941895576516
x71 = 11.9783680108116
x72 = 24.5447386251708
x73 = 62.0464549083984
x74 = 55.9606651610687
x75 = 49.6774798538891
x76 = -129.590696960579
x77 = -38.2871144466251
x78 = 96.6039740978861
x79 = 68.5270357754279
x80 = -63.6172512351933
x81 = 71.6686284290177
x82 = -22.776546738526
x82 = -22.776546738526