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sqrt(-tan(2*x))*(sin(2*x+3*pi/2)+2*cos(2*x)^3)=0 la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
  ___________ /   /      3*pi\        3     \    
\/ -tan(2*x) *|sin|2*x + ----| + 2*cos (2*x)| = 0
              \   \       2  /              /    
$$\sqrt{- \tan{\left(2 x \right)}} \left(\sin{\left(2 x + \frac{3 \pi}{2} \right)} + 2 \cos^{3}{\left(2 x \right)}\right) = 0$$
Gráfica
Respuesta rápida [src]
x1 = 0
$$x_{1} = 0$$
     pi
x2 = --
     8 
$$x_{2} = \frac{\pi}{8}$$
     3*pi
x3 = ----
      8  
$$x_{3} = \frac{3 \pi}{8}$$
     5*pi
x4 = ----
      8  
$$x_{4} = \frac{5 \pi}{8}$$
     7*pi
x5 = ----
      8  
$$x_{5} = \frac{7 \pi}{8}$$
x5 = 7*pi/8
Suma y producto de raíces [src]
suma
pi   3*pi   5*pi   7*pi
-- + ---- + ---- + ----
8     8      8      8  
$$\frac{7 \pi}{8} + \left(\left(\frac{\pi}{8} + \frac{3 \pi}{8}\right) + \frac{5 \pi}{8}\right)$$
=
2*pi
$$2 \pi$$
producto
  pi 3*pi 5*pi 7*pi
0*--*----*----*----
  8   8    8    8  
$$\frac{7 \pi}{8} \frac{5 \pi}{8} \frac{3 \pi}{8} \cdot 0 \frac{\pi}{8}$$
=
0
$$0$$
0
Respuesta numérica [src]
x1 = 56.1559686829176
x2 = -49.872783375738
x3 = -64.009950316892
x4 = -27.8816348006094
x5 = 34.164820107789
x6 = 52.2289778659303
x7 = -1.96349540849362
x8 = 64.009950316892
x9 = 23.9546439836222
x10 = 4.31968989868597
x11 = -82.0741080750334
x12 = -5.89048622548086
x13 = -42.0188017417635
x14 = -75.7909227678538
x15 = 70.2931356240716
x16 = 74.2201264410589
x17 = 60.0829594999048
x18 = -71.8639319508665
x19 = 43.5895980685584
x20 = 26.3108384738145
x21 = 1.96349540849362
x22 = 45.9457925587507
x23 = 38.0918109247762
x24 = -60.8683576633022
x25 = -45.9457925587507
x26 = -31.8086256175967
x27 = 78.1471172580461
x28 = 86.0010988920206
x29 = 89.9280897090078
x30 = 16.1006623496477
x31 = -57.7267650097125
x32 = 92.2842841992002
x33 = 83.6449044018282
x34 = -23.9546439836222
x35 = 8.24668071567321
x36 = -97.7820713429823
x37 = -79.717913584841
x38 = -17.6714586764426
x39 = -86.0010988920206
x40 = 82.0741080750334
x41 = 28.6670329640069
x42 = 50.6581815391354
x43 = -4.31968989868597
x44 = 30.2378292908018
x45 = 96.2112750161874
x46 = 12.1736715326604
x47 = 0.0
x48 = -67.9369411338793
x49 = -9.8174770424681
x50 = -53.7997741927252
x51 = 100.138265833175
x52 = -35.7356164345839
x53 = -89.9280897090078
x54 = -91.4988860358027
x55 = 20.0276531666349
x56 = 84.4303025652257
x57 = -93.8550805259951
x58 = 67.9369411338793
x59 = -13.7444678594553
x60 = 48.3019870489431
x61 = -20.0276531666349
x62 = 42.0188017417635
x63 = -38.8772090881737
x63 = -38.8772090881737