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(2sinx+sqrt3)*sqrt(cosx)=0 la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
/             ___\   ________    
\2*sin(x) + \/ 3 /*\/ cos(x)  = 0
$$\left(2 \sin{\left(x \right)} + \sqrt{3}\right) \sqrt{\cos{\left(x \right)}} = 0$$
Gráfica
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 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
Respuesta numérica [src]
x1 = 24.0855436775217
x2 = 86.9173967493176
x3 = 85.870199198121
x4 = 5.23598775598299
x5 = 41.8879020478639
x6 = 74.3510261349584
x7 = 73.3038285837618
x8 = -38.7463093942741
x9 = -58.6430628670095
x10 = 99.4837673636768
x11 = -82.7286065445312
x12 = 67.0206432765823
x13 = -70.162235930172
x14 = 93.2005820564972
x15 = -13.6135681655558
x16 = 49.2182849062401
x17 = -19.8967534727354
x18 = 42.9350995990605
x19 = -32.4631240870945
x20 = -14.6607657167524
x21 = -1.0471975511966
x22 = -45.0294947014537
x23 = -77.4926187885482
x24 = 55.5014702134197
x25 = -33.5103216382911
x26 = -27.2271363311115
x27 = -90.0589894029074
x28 = 30.3687289847013
x29 = -71.2094334813686
x30 = 29.3215314335047
x31 = 583.289036016505
x32 = 92.1533845053006
x33 = 48.1710873550435
x34 = -20.943951023932
x35 = 10.471975511966
x36 = -89.0117918517108
x37 = 61.7846555205993
x38 = -57.5958653158129
x39 = -95.2949771588904
x40 = -39.7935069454707
x41 = -107.86134777325
x42 = -63.8790506229925
x43 = -83.7758040957278
x44 = 68.0678408277789
x45 = 11.5191730631626
x46 = 54.4542726622231
x47 = -64.9262481741891
x48 = -2.0943951023932
x49 = -46.0766922526503
x50 = 17.8023583703422
x51 = 23.0383461263252
x52 = 16.7551608191456
x53 = 60.7374579694027
x54 = -51.3126800086333
x55 = -76.4454212373516
x56 = -26.1799387799149
x57 = 98.4365698124802
x58 = 4.18879020478639
x58 = 4.18879020478639