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sin(x)-sqrt(3)*cos(x)=1

sin(x)-sqrt(3)*cos(x)=1 la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
           ___           
sin(x) - \/ 3 *cos(x) = 1
$$\sin{\left(x \right)} - \sqrt{3} \cos{\left(x \right)} = 1$$
Gráfica
Respuesta rápida [src]
     -5*pi
x1 = -----
       6  
$$x_{1} = - \frac{5 \pi}{6}$$
     pi
x2 = --
     2 
$$x_{2} = \frac{\pi}{2}$$
x2 = pi/2
Suma y producto de raíces [src]
suma
  5*pi   pi
- ---- + --
   6     2 
$$- \frac{5 \pi}{6} + \frac{\pi}{2}$$
=
-pi 
----
 3  
$$- \frac{\pi}{3}$$
producto
-5*pi pi
-----*--
  6   2 
$$- \frac{5 \pi}{6} \frac{\pi}{2}$$
=
     2
-5*pi 
------
  12  
$$- \frac{5 \pi^{2}}{12}$$
-5*pi^2/12
Respuesta numérica [src]
x1 = -8.90117918517108
x2 = 51.8362787842316
x3 = -42.4115008234622
x4 = 70.6858347057703
x5 = -15.1843644923507
x6 = 66.497044500984
x7 = -98.9601685880785
x8 = 95.8185759344887
x9 = -80.1106126665397
x10 = 47.6474885794452
x11 = 1.5707963267949
x12 = 14.1371669411541
x13 = -52.8834763354282
x14 = -67.5442420521806
x15 = -17.2787595947439
x16 = 89.5353906273091
x17 = -86.3937979737193
x18 = 28.7979326579064
x19 = -78.0162175641465
x20 = 97.9129710368819
x21 = -90.5825881785057
x22 = 148.178453494319
x23 = -73.8274273593601
x24 = -46.6002910282486
x25 = -4.71238898038469
x26 = 58.1194640914112
x27 = -54.9778714378214
x28 = -27.7507351067098
x29 = -34.0339204138894
x30 = -23.5619449019235
x31 = -29.845130209103
x32 = -65.4498469497874
x33 = 79.0634151153431
x34 = 60.2138591938044
x35 = 76.9690200129499
x36 = -71.733032256967
x37 = 91.6297857297023
x38 = 53.9306738866248
x39 = 26.7035375555132
x40 = 72.7802298081635
x41 = 39.2699081698724
x42 = 83.2522053201295
x43 = 22.5147473507269
x44 = 3.66519142918809
x45 = -36.1283155162826
x46 = 32.9867228626928
x47 = 20.4203522483337
x48 = -84.2994028713261
x49 = -61.261056745001
x50 = -40.317105721069
x51 = 45.553093477052
x52 = 16.2315620435473
x53 = -10.9955742875643
x54 = -96.8657734856853
x55 = 64.4026493985908
x56 = 85.3466004225227
x57 = -111.526539202438
x58 = -21.4675497995303
x59 = -48.6946861306418
x60 = -59.1666616426078
x61 = 41.3643032722656
x62 = 35.081117965086
x63 = -2.61799387799149
x64 = 7.85398163397448
x65 = 9.94837673636768
x66 = -92.6769832808989
x66 = -92.6769832808989
Gráfico
sin(x)-sqrt(3)*cos(x)=1 la ecuación