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

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Solución numérica:

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Solución

Ha introducido [src]
  ___                         ___
\/ 3 *sin(2*x) + cos(2*x) = \/ 3 
$$\sqrt{3} \sin{\left(2 x \right)} + \cos{\left(2 x \right)} = \sqrt{3}$$
Gráfica
Respuesta rápida [src]
     pi
x1 = --
     12
$$x_{1} = \frac{\pi}{12}$$
     pi
x2 = --
     4 
$$x_{2} = \frac{\pi}{4}$$
x2 = pi/4
Suma y producto de raíces [src]
suma
pi   pi
-- + --
12   4 
$$\frac{\pi}{12} + \frac{\pi}{4}$$
=
pi
--
3 
$$\frac{\pi}{3}$$
producto
pi pi
--*--
12 4 
$$\frac{\pi}{12} \frac{\pi}{4}$$
=
  2
pi 
---
 48
$$\frac{\pi^{2}}{48}$$
pi^2/48
Respuesta numérica [src]
x1 = -74.6128255227576
x2 = -33.7721210260903
x3 = 3.92699081698724
x4 = -96.6039740978861
x5 = -99.7455667514759
x6 = -65.7116463375865
x7 = 0.261799387799149
x8 = -59.4284610304069
x9 = -2.35619449019234
x10 = -55.7632696012188
x11 = 63.6172512351933
x12 = 32.2013246992954
x13 = 94.5095789954929
x14 = -81.4196096055355
x15 = 100.792764302673
x16 = 57.3340659280137
x17 = -90.3207887907066
x18 = 79.3252145031423
x19 = 22.2529479629277
x20 = 91.8915851175014
x21 = 73.0420291959627
x22 = -93.9859802198946
x23 = -97.1275728734844
x24 = 13.3517687777566
x25 = -420.711616193233
x26 = 47.9092879672443
x27 = 28.5361332701073
x28 = -11.7809724509617
x29 = -62.0464549083984
x30 = -15.4461638801498
x31 = -18.0641577581413
x32 = -31.1541271480988
x33 = -21.7293491873294
x34 = 54.1924732744239
x35 = 66.2352451131848
x36 = -71.9948316447661
x37 = 56.8104671524154
x38 = -6.02138591938044
x39 = -77.7544181763474
x40 = 37.9609112308767
x41 = -46.3384916404494
x42 = 88.2263936883134
x43 = 35.3429173528852
x44 = 15.9697626557481
x45 = 12.8281700021583
x46 = -28.012534494509
x47 = 6.54498469497874
x48 = 22.776546738526
x49 = 78.801615727544
x50 = 19.6349540849362
x51 = -8.63937979737193
x52 = 85.6083998103219
x53 = -87.7027949127151
x54 = -43.720497762458
x55 = 44.2440965380563
x56 = 76.1836218495525
x57 = 69.9004365423729
x58 = 98.174770424681
x59 = 41.6261026600648
x60 = -24.3473430653209
x61 = -52.621676947629
x62 = 34.8193185772869
x63 = -30.6305283725005
x64 = 97.6511716490827
x65 = 72.5184304203644
x66 = -84.037603483527
x67 = 10.2101761241668
x68 = -75.1364242983559
x69 = -9.16297857297023
x70 = 25.9181393921158
x71 = 81.9432083811338
x72 = -37.4373124552784
x73 = 59.9520598060052
x74 = -68.329640215578
x75 = -53.1452757232273
x76 = -40.0553063332699
x77 = -50.0036830696375
x78 = 66.7588438887831
x79 = 50.5272818452358
x80 = -323.32224393195
x80 = -323.32224393195