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2*sin(x)*cos(x)+sqrt(3)*cos(x)=0 la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
                    ___           
2*sin(x)*cos(x) + \/ 3 *cos(x) = 0
$$2 \sin{\left(x \right)} \cos{\left(x \right)} + \sqrt{3} \cos{\left(x \right)} = 0$$
Gráfica
Respuesta rápida [src]
     -2*pi
x1 = -----
       3  
$$x_{1} = - \frac{2 \pi}{3}$$
     -pi 
x2 = ----
      2  
$$x_{2} = - \frac{\pi}{2}$$
     -pi 
x3 = ----
      3  
$$x_{3} = - \frac{\pi}{3}$$
     pi
x4 = --
     2 
$$x_{4} = \frac{\pi}{2}$$
x4 = pi/2
Suma y producto de raíces [src]
suma
  2*pi   pi   pi   pi
- ---- - -- - -- + --
   3     2    3    2 
$$\left(\left(- \frac{2 \pi}{3} - \frac{\pi}{2}\right) - \frac{\pi}{3}\right) + \frac{\pi}{2}$$
=
-pi
$$- \pi$$
producto
-2*pi -pi  -pi  pi
-----*----*----*--
  3    2    3   2 
$$\frac{\pi}{2} \cdot - \frac{\pi}{3} \cdot - \frac{2 \pi}{3} \left(- \frac{\pi}{2}\right)$$
=
   4 
-pi  
-----
  18 
$$- \frac{\pi^{4}}{18}$$
-pi^4/18
Respuesta numérica [src]
x1 = -64.9262481741891
x2 = -38.7463093942741
x3 = -29.845130209103
x4 = -82.7286065445312
x5 = -39.7935069454707
x6 = -92.6769832808989
x7 = 4.18879020478639
x8 = -52.3598775598299
x9 = 23.0383461263252
x10 = 80.634211442138
x11 = 95.8185759344887
x12 = 54.4542726622231
x13 = 45.553093477052
x14 = 24.0855436775217
x15 = 42.9350995990605
x16 = 17.8023583703422
x17 = 11.5191730631626
x18 = 70.6858347057703
x19 = -14.6607657167524
x20 = 61.7846555205993
x21 = -33.5103216382911
x22 = 49.2182849062401
x23 = 73.3038285837618
x24 = 93.2005820564972
x25 = 86.9173967493176
x26 = 29.3215314335047
x27 = -17.2787595947439
x28 = -48.6946861306418
x29 = 5.23598775598299
x30 = 16.7551608191456
x31 = -80.1106126665397
x32 = -26.1799387799149
x33 = 48.6946861306418
x34 = -32.4631240870945
x35 = 20.4203522483337
x36 = 89.5353906273091
x37 = -20.943951023932
x38 = 85.870199198121
x39 = 60.7374579694027
x40 = -77.4926187885482
x41 = -73.8274273593601
x42 = 10.471975511966
x43 = -67.5442420521806
x44 = -36.1283155162826
x45 = -45.0294947014537
x46 = -61.261056745001
x47 = -83.7758040957278
x48 = 36.1283155162826
x49 = -19.8967534727354
x50 = 55.5014702134197
x51 = 26.7035375555132
x52 = -58.6430628670095
x53 = -63.8790506229925
x54 = 79.5870138909414
x55 = -27.2271363311115
x56 = 30.3687289847013
x57 = 4.71238898038469
x58 = 92.1533845053006
x59 = -8.37758040957278
x60 = 7.85398163397448
x61 = 14.1371669411541
x62 = 48.1710873550435
x63 = -90.0589894029074
x64 = 99.4837673636768
x65 = 51.8362787842316
x66 = -51.8362787842316
x67 = -1.5707963267949
x68 = -23.5619449019235
x69 = 35.6047167406843
x70 = 64.4026493985908
x71 = -95.8185759344887
x72 = 80.1106126665397
x73 = -89.0117918517108
x74 = 73.8274273593601
x75 = 98.4365698124802
x76 = -76.4454212373516
x77 = -7.85398163397448
x78 = 67.0206432765823
x79 = -86.3937979737193
x80 = -1.0471975511966
x81 = -45.553093477052
x82 = 1.5707963267949
x83 = 68.0678408277789
x84 = -58.1194640914112
x85 = -96.342174710087
x86 = 58.1194640914112
x87 = -42.4115008234622
x88 = -71.2094334813686
x89 = -70.162235930172
x89 = -70.162235930172