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sin(4*x+pi/2)=0 la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
   /      pi\    
sin|4*x + --| = 0
   \      2 /    
$$\sin{\left(4 x + \frac{\pi}{2} \right)} = 0$$
Solución detallada
Tenemos la ecuación
$$\sin{\left(4 x + \frac{\pi}{2} \right)} = 0$$
es la ecuación trigonométrica más simple
cambiando el signo de 0

Obtenemos:
$$\sin{\left(4 x + \frac{\pi}{2} \right)} = 0$$
Esta ecuación se reorganiza en
$$4 x = \pi n + \operatorname{acos}{\left(0 \right)}$$
$$4 x = \pi n - \pi + \operatorname{acos}{\left(0 \right)}$$
O
$$4 x = \pi n + \frac{\pi}{2}$$
$$4 x = \pi n - \frac{\pi}{2}$$
, donde n es cualquier número entero
Dividamos ambos miembros de la ecuación obtenida en
$$4$$
obtenemos la respuesta:
$$x_{1} = \frac{\pi n}{4} + \frac{\pi}{8}$$
$$x_{2} = \frac{\pi n}{4} - \frac{\pi}{8}$$
Gráfica
Suma y producto de raíces [src]
suma
pi   3*pi
-- + ----
8     8  
$$\frac{\pi}{8} + \frac{3 \pi}{8}$$
=
pi
--
2 
$$\frac{\pi}{2}$$
producto
pi 3*pi
--*----
8   8  
$$\frac{\pi}{8} \frac{3 \pi}{8}$$
=
    2
3*pi 
-----
  64 
$$\frac{3 \pi^{2}}{64}$$
3*pi^2/64
Respuesta rápida [src]
     pi
x1 = --
     8 
$$x_{1} = \frac{\pi}{8}$$
     3*pi
x2 = ----
      8  
$$x_{2} = \frac{3 \pi}{8}$$
x2 = 3*pi/8
Respuesta numérica [src]
x1 = 70.2931356240716
x2 = 40.4480054149686
x3 = 26.3108384738145
x4 = 93.8550805259951
x5 = -65.5807466436869
x6 = -82.0741080750334
x7 = 84.4303025652257
x8 = -38.0918109247762
x9 = 82.0741080750334
x10 = -93.8550805259951
x11 = -67.9369411338793
x12 = -68.7223392972767
x13 = 96.9966731795849
x14 = -97.7820713429823
x15 = -83.6449044018282
x16 = 86.0010988920206
x17 = 48.3019870489431
x18 = 66.3661448070844
x19 = 8.24668071567321
x20 = -75.0055246044563
x21 = 27.8816348006094
x22 = 52.2289778659303
x23 = 12.1736715326604
x24 = -96.9966731795849
x25 = -31.8086256175967
x26 = 42.0188017417635
x27 = -87.5718952188155
x28 = -45.9457925587507
x29 = -43.5895980685584
x30 = 92.2842841992002
x31 = 60.0829594999048
x32 = -12.1736715326604
x33 = 74.2201264410589
x34 = -100.138265833175
x35 = -39.6626072515711
x36 = 53.7997741927252
x37 = -5.89048622548086
x38 = -2.74889357189107
x39 = -56.1559686829176
x40 = 5.89048622548086
x41 = -61.6537558266997
x42 = -57.7267650097125
x43 = 54.5851723561227
x44 = -35.7356164345839
x45 = 31.8086256175967
x46 = 22.3838476568273
x47 = 34.164820107789
x48 = 1.96349540849362
x49 = 4.31968989868597
x50 = 16.1006623496477
x51 = 64.009950316892
x52 = 62.4391539900971
x53 = 104.850654813559
x54 = 20.0276531666349
x55 = 44.3749962319558
x56 = -9.8174770424681
x57 = -75.7909227678538
x58 = 100.138265833175
x59 = -78.1471172580461
x60 = -89.9280897090078
x61 = 38.0918109247762
x62 = 88.3572933822129
x63 = -27.8816348006094
x64 = 23.9546439836222
x65 = 122.914812571701
x66 = -16.1006623496477
x67 = -86.0010988920206
x68 = 9.8174770424681
x69 = -21.5984494934298
x70 = -42.0188017417635
x71 = 71.8639319508665
x72 = 45.9457925587507
x73 = 49.872783375738
x74 = 96.2112750161874
x75 = -10.6028752058656
x76 = 0.392699081698724
x77 = -13.7444678594553
x78 = 56.1559686829176
x79 = -53.7997741927252
x80 = -34.164820107789
x81 = -49.872783375738
x82 = -17.6714586764426
x83 = 78.1471172580461
x84 = -23.9546439836222
x85 = -64.009950316892
x86 = -1.96349540849362
x87 = -20.0276531666349
x88 = -60.0829594999048
x89 = 89.9280897090078
x90 = 67.9369411338793
x91 = -20.8130513300324
x92 = 30.2378292908018
x93 = -71.8639319508665
x94 = -79.717913584841
x94 = -79.717913584841