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3*sin(4*x)+2*cos(4*x)=3 la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
3*sin(4*x) + 2*cos(4*x) = 3
$$3 \sin{\left(4 x \right)} + 2 \cos{\left(4 x \right)} = 3$$
Gráfica
Suma y producto de raíces [src]
suma
pi   atan(1/5)
-- + ---------
8        2    
$$\frac{\operatorname{atan}{\left(\frac{1}{5} \right)}}{2} + \frac{\pi}{8}$$
=
atan(1/5)   pi
--------- + --
    2       8 
$$\frac{\operatorname{atan}{\left(\frac{1}{5} \right)}}{2} + \frac{\pi}{8}$$
producto
pi atan(1/5)
--*---------
8      2    
$$\frac{\pi}{8} \frac{\operatorname{atan}{\left(\frac{1}{5} \right)}}{2}$$
=
pi*atan(1/5)
------------
     16     
$$\frac{\pi \operatorname{atan}{\left(\frac{1}{5} \right)}}{16}$$
pi*atan(1/5)/16
Respuesta rápida [src]
     pi
x1 = --
     8 
$$x_{1} = \frac{\pi}{8}$$
     atan(1/5)
x2 = ---------
         2    
$$x_{2} = \frac{\operatorname{atan}{\left(\frac{1}{5} \right)}}{2}$$
x2 = atan(1/5)/2
Respuesta numérica [src]
x1 = 6.38188308710453
x2 = -26.3108384738145
x3 = 31.8086256175967
x4 = -48.3019870489431
x5 = -51.7375810043066
x6 = 67.9369411338793
x7 = 100.923663996572
x8 = -23.4632471219985
x9 = 36.2270132962076
x10 = -65.8747479454607
x11 = -78.1471172580461
x12 = 17.6714586764426
x13 = 97.7820713429823
x14 = -81.5827112134097
x15 = 63.2245521534946
x16 = -142.549766656637
x17 = 72.3553288124902
x18 = -42.0188017417635
x19 = -87.8658965205893
x20 = -56.1559686829176
x21 = -29.7464324291781
x22 = -79.717913584841
x23 = 23.9546439836222
x24 = -37.6004140631526
x25 = -58.0207663114862
x26 = 83.3509031000545
x27 = -43.8835993703322
x28 = 94.3464773876187
x29 = -49.872783375738
x30 = -95.42587685279
x31 = 28.3730316622331
x32 = 8526.38115962262
x33 = 30.2378292908018
x34 = -42.3128030435373
x35 = 1.96349540849362
x36 = -100.138265833175
x37 = 58.2181618713361
x38 = 9.8174770424681
x39 = 42.5101986033872
x40 = -35.7356164345839
x41 = 75.7909227678538
x42 = -86.0010988920206
x43 = 0.0986977799249404
x44 = -93.8550805259951
x45 = 74.2201264410589
x46 = -34.164820107789
x47 = 60.0829594999048
x48 = -21.8924507952036
x49 = -53.3083773311015
x50 = -7.75528385404954
x51 = 61.6537558266997
x52 = 16.1006623496477
x53 = -13.7444678594553
x54 = -64.009950316892
x55 = 80.2093104464647
x56 = -92.2842841992002
x57 = 22.0898463550535
x58 = 89.9280897090078
x59 = 8.24668071567321
x60 = -4.31968989868597
x61 = 82.0741080750334
x62 = 44.3749962319558
x63 = -45.4543956971271
x64 = -27.8816348006094
x65 = -67.4455442722556
x66 = 56.941366846315
x67 = -1.47209854686996
x68 = 69.5077374606742
x69 = -15.609265488024
x70 = 38.0918109247762
x71 = -95.7198781545638
x72 = 53.7997741927252
x73 = 78.9325154214436
x74 = 45.9457925587507
x75 = 88.0632920804392
x76 = 64.5013471785157
x77 = 14.235864721079
x78 = 39.6626072515711
x79 = 50.3641802373616
x80 = -70.2931356240716
x81 = -20.0276531666349
x82 = -89.4366928473842
x83 = -12.1736715326604
x84 = -797.571834930109
x85 = 44.080994930182
x86 = 52.2289778659303
x87 = -73.7287295794352
x88 = 66.0721435053106
x89 = 86.4924957536442
x90 = -5.89048622548086
x91 = -71.8639319508665
x92 = -59.5915626382811
x93 = 20.5190500282586
x94 = 96.2112750161874
x95 = 2353.44559662045
x95 = 2353.44559662045