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3sin(2x)-3cosx+2sinx-1=0 la ecuación

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Solución numérica:

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Solución

Ha introducido [src] 
3*sin(2*x) - 3*cos(x) + 2*sin(x) - 1 = 0
$$\left(\left(3 \sin{\left(2 x \right)} - 3 \cos{\left(x \right)}\right) + 2 \sin{\left(x \right)}\right) - 1 = 0$$
Simplificar
Gráfica
Trazar el gráfico f1(x)
Trazar el gráfico f2(x)
Respuesta rápida [src] 
     pi
x1 = --
     6
$$x_{1} = \frac{\pi}{6}$$ 
     5*pi
x2 = ----
      6
$$x_{2} = \frac{5 \pi}{6}$$ 
       /     /           ___\         \
x3 = I*\- log\-1 - 2*I*\/ 2 / + log(3)/
$$x_{3} = i \left(\log{\left(3 \right)} - \log{\left(-1 - 2 \sqrt{2} i \right)}\right)$$ 
       /     /           ___\         \
x4 = I*\- log\-1 + 2*I*\/ 2 / + log(3)/
$$x_{4} = i \left(\log{\left(3 \right)} - \log{\left(-1 + 2 \sqrt{2} i \right)}\right)$$ 
x4 = i*(log(3) - log(-1 + 2*sqrt(2)*i))
Suma y producto de raíces [src] 
suma
pi   5*pi     /     /           ___\         \     /     /           ___\         \
-- + ---- + I*\- log\-1 - 2*I*\/ 2 / + log(3)/ + I*\- log\-1 + 2*I*\/ 2 / + log(3)/
6     6
$$\left(\left(\frac{\pi}{6} + \frac{5 \pi}{6}\right) + i \left(\log{\left(3 \right)} - \log{\left(-1 - 2 \sqrt{2} i \right)}\right)\right) + i \left(\log{\left(3 \right)} - \log{\left(-1 + 2 \sqrt{2} i \right)}\right)$$ 
=
       /     /           ___\         \     /     /           ___\         \
pi + I*\- log\-1 - 2*I*\/ 2 / + log(3)/ + I*\- log\-1 + 2*I*\/ 2 / + log(3)/
$$\pi + i \left(\log{\left(3 \right)} - \log{\left(-1 - 2 \sqrt{2} i \right)}\right) + i \left(\log{\left(3 \right)} - \log{\left(-1 + 2 \sqrt{2} i \right)}\right)$$ 
producto
pi 5*pi   /     /           ___\         \   /     /           ___\         \
--*----*I*\- log\-1 - 2*I*\/ 2 / + log(3)/*I*\- log\-1 + 2*I*\/ 2 / + log(3)/
6   6
$$i \left(\log{\left(3 \right)} - \log{\left(-1 + 2 \sqrt{2} i \right)}\right) i \left(\log{\left(3 \right)} - \log{\left(-1 - 2 \sqrt{2} i \right)}\right) \frac{\pi}{6} \frac{5 \pi}{6}$$ 
=
     2 /     /           ___\         \ /     /           ___\         \
-5*pi *\- log\-1 - 2*I*\/ 2 / + log(3)/*\- log\-1 + 2*I*\/ 2 / + log(3)/
------------------------------------------------------------------------
                                   36
$$- \frac{5 \pi^{2} \left(\log{\left(3 \right)} - \log{\left(-1 - 2 \sqrt{2} i \right)}\right) \left(\log{\left(3 \right)} - \log{\left(-1 + 2 \sqrt{2} i \right)}\right)}{36}$$ 
-5*pi^2*(-log(-1 - 2*i*sqrt(2)) + log(3))*(-log(-1 + 2*i*sqrt(2)) + log(3))/36
Respuesta numérica [src] 
x1 = -1212.13116551006
x2 = 69.6386371545737
x3 = 25.6563400043166
x4 = -60.2138591938044
x5 = -64.7424863080449
x6 = 59.1666616426078
x7 = 84.2994028713261
x8 = 73.487590449906
x9 = -89.8752275367632
x10 = 79.7707757570856
x11 = 31.9395253114962
x12 = -39.6097450793265
x13 = -8.19381854342861
x14 = 44.5058959258554
x15 = -91.6297857297023
x16 = 29.5052932996489
x17 = -86.0539610642652
x18 = -49.7418836818384
x19 = 65.4498469497874
x20 = -48.3548492211877
x21 = 57.0722665402146
x22 = 27.7507351067098
x23 = -29.5052932996489
x24 = -42.0716639140081
x25 = -83.5920422295836
x26 = 35.7884786068285
x27 = 58.4593010008653
x28 = -81.1578102177363
x29 = 64.7424863080449
x30 = 45.8929303865061
x31 = -97.9129710368819
x32 = -18.3259571459405
x33 = -43.4586983746588
x34 = 98.6203316786244
x35 = -73.487590449906
x36 = 96.1584128439428
x37 = 52.1761156936857
x38 = -37.1755130674792
x39 = 50.789081233035
x40 = 88.4881930761125
x41 = -62.3082542961976
x42 = 23.2221079924693
x43 = -9.94837673636768
x44 = 8.19381854342861
x45 = -5.75958653158129
x46 = -100.007366139275
x47 = -96.1584128439428
x48 = -1.91063323624902
x49 = 54.6380345283673
x50 = -87.4409955249159
x51 = -93.7241808320955
x52 = 48.3548492211877
x53 = 78.0162175641465
x54 = 82.2050077689329
x55 = 101.054563690472
x56 = 92.3371463714448
x57 = -53.9306738866248
x58 = -45.8929303865061
x59 = -35.7884786068285
x60 = 42.0716639140081
x61 = 0.523598775598299
x62 = -16.2315620435473
x63 = -56.025068989018
x64 = -14.4770038506082
x65 = -1096.93943487844
x66 = 94.7713783832921
x67 = 75.9218224617533
x68 = 86.0539610642652
x69 = -20.7601891577878
x70 = -33.326559772147
x71 = 71.733032256967
x72 = -77.3088569224041
x73 = -79.7707757570856
x74 = -12.0427718387609
x75 = 60.9212198355468
x76 = -52.1761156936857
x77 = 6.80678408277789
x78 = 1.91063323624902
x79 = 38.2227106186758
x80 = -22.5147473507269
x81 = 40.317105721069
x82 = 13.0899693899575
x83 = 4.37255207093057
x84 = -58.4593010008653
x85 = -47.6474885794452
x86 = -3.66519142918809
x87 = 34.0339204138894
x88 = -66.497044500984
x89 = 14.4770038506082
x90 = 21.4675497995303
x91 = 89.8752275367632
x92 = 10.6557373781102
x92 = 10.6557373781102
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