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|2*sin(x)-1|=3 la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
|2*sin(x) - 1| = 3
$$\left|{2 \sin{\left(x \right)} - 1}\right| = 3$$
Gráfica
Respuesta rápida [src]
     -pi 
x1 = ----
      2  
$$x_{1} = - \frac{\pi}{2}$$
     3*pi
x2 = ----
      2  
$$x_{2} = \frac{3 \pi}{2}$$
x2 = 3*pi/2
Suma y producto de raíces [src]
suma
  pi   3*pi
- -- + ----
  2     2  
$$- \frac{\pi}{2} + \frac{3 \pi}{2}$$
=
pi
$$\pi$$
producto
-pi  3*pi
----*----
 2    2  
$$- \frac{\pi}{2} \frac{3 \pi}{2}$$
=
     2
-3*pi 
------
  4   
$$- \frac{3 \pi^{2}}{4}$$
-3*pi^2/4
Respuesta numérica [src]
x1 = -58.1194639976905
x2 = -76.9690195738024
x3 = 67.5442415586719
x4 = 17.2787591562062
x5 = -83.2522055723275
x6 = -89.5353901118113
x7 = -58.1194645939029
x8 = 67.5442427001199
x9 = 23.5619451582919
x10 = 98.9601682515978
x11 = -83.2522048211133
x12 = 80.1106122230873
x13 = 23.5619444059921
x14 = -26.7035372004893
x15 = -20.4203522680344
x16 = -39.2699091282365
x17 = -45.5530929624673
x18 = 10.9955747360645
x19 = 80.1106123941006
x20 = 10.9955739381756
x21 = 98.9601690454399
x22 = 86.3937984838325
x23 = -51.8362783335234
x24 = -64.4026495823269
x25 = 36.1283155873605
x26 = -64.4026491641039
x27 = -20.4203520060805
x28 = 4.71238874329685
x29 = -70.6858343571487
x30 = -39.2699084145515
x31 = -64.4026494771639
x32 = -1.57079643188553
x33 = -45.5530935911043
x34 = 23.5619451518571
x35 = 36.1283156012168
x36 = -26.7035379986821
x37 = -32.9867232184024
x38 = 17.2787596634002
x39 = 48.6946859012172
x40 = 61.2610571125526
x41 = 54.9778710948428
x42 = -76.9690203748894
x43 = 73.8274274830848
x44 = 92.6769830592094
x45 = 67.54424230971
x46 = 36.1283157147548
x47 = 29.8451297031011
x48 = 42.4115013353669
x49 = -51.8362786893284
x50 = -70.6858351534454
x51 = -7.85398149665124
x52 = 29.8451303231501
x53 = 48.6946866365921
x54 = 61.2610563112167
x55 = -14.1371668370864
x56 = -32.9867224188086
x57 = 4.7123894841958
x58 = -39.2699076683741
x59 = -95.818575476176
x60 = -64.4026498988255
x61 = 86.3937978869933
x62 = 80.1106131368654
x63 = 73.8274268520838
x64 = 42.4115007274741
x65 = 17.2787599560783
x66 = -95.8185758680502
x67 = 92.6769832108521
x68 = 92.6769837888103
x69 = 54.9778718908148
x70 = -89.535390750197
x71 = 48.6946857405891
x72 = -7.85398127918988
x73 = -7.85398087881864
x74 = -20.4203527465087
x75 = -1.57079581340397
x76 = -14.1371674455661
x77 = 4.71238816506405
x77 = 4.71238816506405