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2sin2-cosx=sqrt3*sinx la ecuación

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Solución numérica:

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Solución

Ha introducido [src] 
                      ___       
2*sin(2) - cos(x) = \/ 3 *sin(x)
$$- \cos{\left(x \right)} + 2 \sin{\left(2 \right)} = \sqrt{3} \sin{\left(x \right)}$$
Simplificar
Gráfica
Trazar el gráfico f1(x)
Trazar el gráfico f2(x)
Suma y producto de raíces [src] 
suma
      /          2        ___ /       2   \\         /         2        ___ /       2   \\
      |-2 + 2*tan (1) + \/ 3 *\1 + tan (1)/|         |2 - 2*tan (1) + \/ 3 *\1 + tan (1)/|
2*atan|------------------------------------| + 2*atan|-----------------------------------|
      |              2                     |         |              2                    |
      \       1 + tan (1) + 4*tan(1)       /         \       1 + tan (1) + 4*tan(1)      /
$$2 \operatorname{atan}{\left(\frac{- 2 \tan^{2}{\left(1 \right)} + 2 + \sqrt{3} \left(1 + \tan^{2}{\left(1 \right)}\right)}{1 + \tan^{2}{\left(1 \right)} + 4 \tan{\left(1 \right)}} \right)} + 2 \operatorname{atan}{\left(\frac{-2 + 2 \tan^{2}{\left(1 \right)} + \sqrt{3} \left(1 + \tan^{2}{\left(1 \right)}\right)}{1 + \tan^{2}{\left(1 \right)} + 4 \tan{\left(1 \right)}} \right)}$$ 
=
      /          2        ___ /       2   \\         /         2        ___ /       2   \\
      |-2 + 2*tan (1) + \/ 3 *\1 + tan (1)/|         |2 - 2*tan (1) + \/ 3 *\1 + tan (1)/|
2*atan|------------------------------------| + 2*atan|-----------------------------------|
      |              2                     |         |              2                    |
      \       1 + tan (1) + 4*tan(1)       /         \       1 + tan (1) + 4*tan(1)      /
$$2 \operatorname{atan}{\left(\frac{- 2 \tan^{2}{\left(1 \right)} + 2 + \sqrt{3} \left(1 + \tan^{2}{\left(1 \right)}\right)}{1 + \tan^{2}{\left(1 \right)} + 4 \tan{\left(1 \right)}} \right)} + 2 \operatorname{atan}{\left(\frac{-2 + 2 \tan^{2}{\left(1 \right)} + \sqrt{3} \left(1 + \tan^{2}{\left(1 \right)}\right)}{1 + \tan^{2}{\left(1 \right)} + 4 \tan{\left(1 \right)}} \right)}$$ 
producto
      /          2        ___ /       2   \\       /         2        ___ /       2   \\
      |-2 + 2*tan (1) + \/ 3 *\1 + tan (1)/|       |2 - 2*tan (1) + \/ 3 *\1 + tan (1)/|
2*atan|------------------------------------|*2*atan|-----------------------------------|
      |              2                     |       |              2                    |
      \       1 + tan (1) + 4*tan(1)       /       \       1 + tan (1) + 4*tan(1)      /
$$2 \operatorname{atan}{\left(\frac{-2 + 2 \tan^{2}{\left(1 \right)} + \sqrt{3} \left(1 + \tan^{2}{\left(1 \right)}\right)}{1 + \tan^{2}{\left(1 \right)} + 4 \tan{\left(1 \right)}} \right)} 2 \operatorname{atan}{\left(\frac{- 2 \tan^{2}{\left(1 \right)} + 2 + \sqrt{3} \left(1 + \tan^{2}{\left(1 \right)}\right)}{1 + \tan^{2}{\left(1 \right)} + 4 \tan{\left(1 \right)}} \right)}$$ 
=
      /          2        ___ /       2   \\     /         2        ___ /       2   \\
      |-2 + 2*tan (1) + \/ 3 *\1 + tan (1)/|     |2 - 2*tan (1) + \/ 3 *\1 + tan (1)/|
4*atan|------------------------------------|*atan|-----------------------------------|
      |              2                     |     |              2                    |
      \       1 + tan (1) + 4*tan(1)       /     \       1 + tan (1) + 4*tan(1)      /
$$4 \operatorname{atan}{\left(\frac{-2 + 2 \tan^{2}{\left(1 \right)} + \sqrt{3} \left(1 + \tan^{2}{\left(1 \right)}\right)}{1 + \tan^{2}{\left(1 \right)} + 4 \tan{\left(1 \right)}} \right)} \operatorname{atan}{\left(\frac{- 2 \tan^{2}{\left(1 \right)} + 2 + \sqrt{3} \left(1 + \tan^{2}{\left(1 \right)}\right)}{1 + \tan^{2}{\left(1 \right)} + 4 \tan{\left(1 \right)}} \right)}$$ 
4*atan((-2 + 2*tan(1)^2 + sqrt(3)*(1 + tan(1)^2))/(1 + tan(1)^2 + 4*tan(1)))*atan((2 - 2*tan(1)^2 + sqrt(3)*(1 + tan(1)^2))/(1 + tan(1)^2 + 4*tan(1)))
Respuesta rápida [src] 
           /          2        ___ /       2   \\
           |-2 + 2*tan (1) + \/ 3 *\1 + tan (1)/|
x1 = 2*atan|------------------------------------|
           |              2                     |
           \       1 + tan (1) + 4*tan(1)       /
$$x_{1} = 2 \operatorname{atan}{\left(\frac{-2 + 2 \tan^{2}{\left(1 \right)} + \sqrt{3} \left(1 + \tan^{2}{\left(1 \right)}\right)}{1 + \tan^{2}{\left(1 \right)} + 4 \tan{\left(1 \right)}} \right)}$$ 
           /         2        ___ /       2   \\
           |2 - 2*tan (1) + \/ 3 *\1 + tan (1)/|
x2 = 2*atan|-----------------------------------|
           |              2                    |
           \       1 + tan (1) + 4*tan(1)      /
$$x_{2} = 2 \operatorname{atan}{\left(\frac{- 2 \tan^{2}{\left(1 \right)} + 2 + \sqrt{3} \left(1 + \tan^{2}{\left(1 \right)}\right)}{1 + \tan^{2}{\left(1 \right)} + 4 \tan{\left(1 \right)}} \right)}$$ 
x2 = 2*atan((-2*tan(1)^2 + 2 + sqrt(3)*(1 + tan(1)^2))/(1 + tan(1)^2 + 4*tan(1)))
Respuesta numérica [src] 
x1 = -43.3643032722656
x2 = 51.7418836818384
x3 = -99.0545636904717
x4 = -86.4881930761125
x5 = 39.1755130674792
x6 = -4.80678408277789
x7 = -49.6474885794452
x8 = -55.9306738866248
x9 = 26.60914245312
x10 = -73.9218224617533
x11 = 20.3259571459405
x12 = 76.0162175641465
x13 = -80.2050077689329
x14 = 19.4675497995303
x15 = -5.66519142918809
x16 = -48.789081233035
x17 = -30.7979326579064
x18 = 7.75958653158129
x19 = -67.6386371545737
x20 = -29.9395253114962
x21 = 32.8923277602996
x22 = 69.733032256967
x23 = 64.3082542961976
x24 = -99.9129710368819
x25 = 57.1666616426078
x26 = 95.7241808320955
x27 = -87.3466004225227
x28 = 58.025068989018
x29 = -61.3554518473942
x30 = -92.7713783832921
x31 = 63.4498469497874
x32 = 83.1578102177363
x33 = -5534.00985440081
x34 = 14.0427718387609
x35 = 1.4764012244017
x36 = -93.6297857297023
x37 = 32.0339204138894
x38 = -42.5058959258554
x39 = -62.2138591938044
x40 = 50.8834763354282
x41 = -18.2315620435473
x42 = 76.8746249105567
x43 = -81.0634151153431
x44 = -36.2227106186758
x45 = -74.7802298081635
x46 = 94.8657734856853
x47 = 70.5914396033772
x48 = 88.5825881785057
x49 = 89.4409955249159
x50 = 82.2994028713261
x51 = -24.5147473507269
x52 = 101.148958792865
x53 = -37.081117965086
x54 = -55.0722665402146
x55 = 13.1843644923507
x56 = -68.497044500984
x57 = -11.9483767363677
x58 = 6.90117918517108
x59 = 38.317105721069
x60 = 25.7507351067098
x61 = -175.311194723037
x62 = 44.6002910282486
x63 = 45.4586983746588
x64 = -11.0899693899575
x65 = -23.6563400043166
x66 = -17.3731546971371
x67 = 0.617993877991494
x67 = 0.617993877991494
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