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13(sin(x)^(2))+sin(2x)-3(cos(x)^(2))=4 la ecuación

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Solución numérica:

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Solución

Ha introducido [src] 
      2                      2       
13*sin (x) + sin(2*x) - 3*cos (x) = 4
(13sin⁡2(x)+sin⁡(2x))−3cos⁡2(x)=4\left(13 \sin^{2}{\left(x \right)} + \sin{\left(2 x \right)}\right) - 3 \cos^{2}{\left(x \right)} = 4
Simplificar
Gráfica
0-80-60-40-2020406080-100100-2020
Trazar el gráfico f1(x)
Trazar el gráfico f2(x)
Respuesta rápida [src] 
     -pi 
x1 = ----
      4
x1=−π4x_{1} = - \frac{\pi}{4} 
             /log(130)      /  _____\\            
x2 = -pi + I*|-------- - log\\/ 130 /| + atan(7/9)
             \   2                   /
x2=−π+atan⁡(79)+i(−log⁡(130)+log⁡(130)2)x_{2} = - \pi + \operatorname{atan}{\left(\frac{7}{9} \right)} + i \left(- \log{\left(\sqrt{130} \right)} + \frac{\log{\left(130 \right)}}{2}\right) 
       /log(130)      /  _____\\            
x3 = I*|-------- - log\\/ 130 /| + atan(7/9)
       \   2                   /
x3=atan⁡(79)+i(−log⁡(130)+log⁡(130)2)x_{3} = \operatorname{atan}{\left(\frac{7}{9} \right)} + i \left(- \log{\left(\sqrt{130} \right)} + \frac{\log{\left(130 \right)}}{2}\right) 
           /    5/2\
x4 = -I*log\(-I)   /
x4=−ilog⁡((−i)52)x_{4} = - i \log{\left(\left(- i\right)^{\frac{5}{2}} \right)} 
x4 = -i*log((-i)^(5/2))
Suma y producto de raíces [src] 
suma
  pi           /log(130)      /  _____\\                 /log(130)      /  _____\\                    /    5/2\
- -- + -pi + I*|-------- - log\\/ 130 /| + atan(7/9) + I*|-------- - log\\/ 130 /| + atan(7/9) - I*log\(-I)   /
  4            \   2                   /                 \   2                   /
−ilog⁡((−i)52)+((−π4+(−π+atan⁡(79)+i(−log⁡(130)+log⁡(130)2)))+(atan⁡(79)+i(−log⁡(130)+log⁡(130)2)))- i \log{\left(\left(- i\right)^{\frac{5}{2}} \right)} + \left(\left(- \frac{\pi}{4} + \left(- \pi + \operatorname{atan}{\left(\frac{7}{9} \right)} + i \left(- \log{\left(\sqrt{130} \right)} + \frac{\log{\left(130 \right)}}{2}\right)\right)\right) + \left(\operatorname{atan}{\left(\frac{7}{9} \right)} + i \left(- \log{\left(\sqrt{130} \right)} + \frac{\log{\left(130 \right)}}{2}\right)\right)\right) 
=
              5*pi        /    5/2\       /log(130)      /  _____\\
2*atan(7/9) - ---- - I*log\(-I)   / + 2*I*|-------- - log\\/ 130 /|
               4                          \   2                   /
−5π4+2atan⁡(79)−ilog⁡((−i)52)+2i(−log⁡(130)+log⁡(130)2)- \frac{5 \pi}{4} + 2 \operatorname{atan}{\left(\frac{7}{9} \right)} - i \log{\left(\left(- i\right)^{\frac{5}{2}} \right)} + 2 i \left(- \log{\left(\sqrt{130} \right)} + \frac{\log{\left(130 \right)}}{2}\right) 
producto
-pi  /        /log(130)      /  _____\\            \ /  /log(130)      /  _____\\            \ /      /    5/2\\
----*|-pi + I*|-------- - log\\/ 130 /| + atan(7/9)|*|I*|-------- - log\\/ 130 /| + atan(7/9)|*\-I*log\(-I)   //
 4   \        \   2                   /            / \  \   2                   /            /
−ilog⁡((−i)52)−π4(−π+atan⁡(79)+i(−log⁡(130)+log⁡(130)2))(atan⁡(79)+i(−log⁡(130)+log⁡(130)2))- i \log{\left(\left(- i\right)^{\frac{5}{2}} \right)} - \frac{\pi}{4} \left(- \pi + \operatorname{atan}{\left(\frac{7}{9} \right)} + i \left(- \log{\left(\sqrt{130} \right)} + \frac{\log{\left(130 \right)}}{2}\right)\right) \left(\operatorname{atan}{\left(\frac{7}{9} \right)} + i \left(- \log{\left(\sqrt{130} \right)} + \frac{\log{\left(130 \right)}}{2}\right)\right) 
=
                                    /    5/2\
pi*I*(-pi + atan(7/9))*atan(7/9)*log\(-I)   /
---------------------------------------------
                      4
iπ(−π+atan⁡(79))log⁡((−i)52)atan⁡(79)4\frac{i \pi \left(- \pi + \operatorname{atan}{\left(\frac{7}{9} \right)}\right) \log{\left(\left(- i\right)^{\frac{5}{2}} \right)} \operatorname{atan}{\left(\frac{7}{9} \right)}}{4} 
pi*i*(-pi + atan(7/9))*atan(7/9)*log((-i)^(5/2))/4
Respuesta numérica [src] 
x1 = 88.6256374693649
x2 = -49.604439288586
x3 = -57.3340659280137
x4 = -79.3252145031423
x5 = 74.6128255227576
x6 = -54.1924732744239
x7 = 18.0641577581413
x8 = -55.8876245957656
x9 = 46.3384916404494
x10 = -76.1836218495525
x11 = -93.5867364388431
x12 = 91.7672301229547
x13 = -38.484510006475
x14 = -2.48054948473911
x15 = 55.7632696012188
x16 = -461172.574133198
x17 = -87.3035511316635
x18 = 2.35619449019234
x19 = 84.037603483527
x20 = 33.7721210260903
x21 = -43.3212539814064
x22 = -21.3301054062779
x23 = -85.6083998103219
x24 = -37.0380686742268
x25 = 98.0504154301343
x26 = 10.0858211296201
x27 = 0.661043168850687
x28 = -5.6221421383289
x29 = -77.8787731708941
x30 = -71.5955878637146
x31 = 8.63937979737193
x32 = -19.6349540849362
x33 = -65.312402556535
x34 = -46.4628466349962
x35 = 38.3601550119282
x36 = 85.4840448157751
x37 = -90.4451437852533
x38 = 41.501747665518
x39 = -69.9004365423729
x40 = 76.0592668550057
x41 = -84.1619584780737
x42 = -13.3517687777566
x43 = -32.2013246992954
x44 = 96.6039740978861
x45 = 47.7849329726976
x46 = -35.3429173528852
x47 = 66.6344888942363
x48 = -10.2101761241668
x49 = 21.2057504117311
x50 = -99.8699217460227
x51 = -82.4668071567321
x52 = 22.6521917439792
x53 = -60.4756585816035
x54 = -62.1708099029452
x55 = 11.7809724509617
x56 = 90.3207887907066
x57 = -25.9181393921158
x58 = 68.329640215578
x59 = 54.0681182798772
x60 = -40.1796613278166
x61 = 60.3513035870568
x62 = -98.174770424681
x63 = -41.6261026600648
x64 = 44.6433403191078
x65 = 69.7760815478261
x66 = 32.0769697047486
x67 = -47.9092879672443
x68 = -68.4539952101248
x69 = 63.4928962406466
x70 = 82.3424521621853
x71 = 24.3473430653209
x72 = -91.8915851175014
x73 = 40.0553063332699
x74 = 30.6305283725005
x75 = -24.4716980598677
x76 = 16.3690064367997
x77 = -63.6172512351933
x78 = 52.621676947629
x79 = 3.80263582244048
x80 = 19.5105990903894
x81 = 25.793784397569
x82 = -33.896476020637
x83 = -18.1885127526881
x84 = -27.6132907134575
x85 = -3.92699081698724
x86 = -11.9053274455085
x87 = 77.7544181763474
x88 = -7239.01487203428
x89 = 57.209710933467
x90 = 62.0464549083984
x91 = 99.7455667514759
x91 = 99.7455667514759
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