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sinx+1=0

sinx+1=0 la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
sin(x) + 1 = 0
$$\sin{\left(x \right)} + 1 = 0$$
Solución detallada
Tenemos la ecuación
$$\sin{\left(x \right)} + 1 = 0$$
es la ecuación trigonométrica más simple
Transportemos 1 al miembro derecho de la ecuación

cambiando el signo de 1

Obtenemos:
$$\sin{\left(x \right)} = -1$$
Esta ecuación se reorganiza en
$$x = 2 \pi n + \operatorname{asin}{\left(-1 \right)}$$
$$x = 2 \pi n - \operatorname{asin}{\left(-1 \right)} + \pi$$
O
$$x = 2 \pi n - \frac{\pi}{2}$$
$$x = 2 \pi n + \frac{3 \pi}{2}$$
, donde n es cualquier número entero
Gráfica
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 rápida [src]
     -pi 
x1 = ----
      2  
$$x_{1} = - \frac{\pi}{2}$$
     3*pi
x2 = ----
      2  
$$x_{2} = \frac{3 \pi}{2}$$
x2 = 3*pi/2
Respuesta numérica [src]
x1 = 73.8274268520838
x2 = -26.7035372004893
x3 = 67.54424230971
x4 = 23.5619444059921
x5 = 538.783139388541
x6 = -51.8362783335234
x7 = -102.101761026058
x8 = -58.1194639976905
x9 = -89.5353901118113
x10 = -70.6858351534454
x11 = 61.2610563112167
x12 = -83.2522042893833
x13 = 73.8274274426229
x14 = -39.2699084145515
x15 = 42.4115013353669
x16 = 54.9778718908148
x17 = 86.3937978309099
x18 = 61.2610571125526
x19 = -26.7035379986821
x20 = -95.8185758680502
x21 = 17.2787591562062
x22 = 42.4115007162407
x23 = 98.9601682515978
x24 = -14.1371674455661
x25 = 4.7123894841958
x26 = 92.6769837888103
x27 = -1.57079643188553
x28 = 98.9601692809083
x29 = -51.8362786893284
x30 = 10.9955739381756
x31 = -51.8362791922783
x32 = 42.4115007274741
x33 = -76.9690195738024
x34 = 17.2787599560783
x35 = 73.8274274830848
x36 = -58.1194639046052
x37 = -45.5530935025548
x38 = 48.6946870830469
x39 = 36.1283150875497
x40 = -70.6858343571487
x41 = -83.2522048211133
x42 = 67.5442408278864
x43 = -83.2522055723275
x44 = -95.818575476176
x45 = -64.4026491641039
x46 = 86.3937984838325
x47 = 29.845130330036
x48 = 48.6946873020308
x49 = 92.6769843439965
x50 = -95.8185763308148
x51 = 80.1106122287081
x52 = 36.1283157235346
x53 = 98.9601690454399
x54 = -14.1371667858125
x55 = -32.9867224188086
x56 = 29.8451303231501
x57 = -39.2699076683741
x58 = -70.6858331259916
x59 = 54.9778710948428
x60 = 80.1106130902139
x61 = -64.4026502975618
x62 = -58.1194645939029
x63 = -64.4026498988255
x64 = -20.4203527465087
x65 = 23.5619437708833
x66 = 67.5442415586719
x67 = 36.1283159497235
x68 = -39.2699069219675
x69 = -7.85398149665124
x70 = -76.9690203748894
x71 = -89.5353906059052
x72 = -14.1371668370864
x73 = 10.9955747360645
x74 = 80.1106131368654
x75 = -45.5530929624673
x76 = -7.85398119154045
x77 = 4.71238874329685
x78 = 48.6946866365921
x79 = -20.420353265929
x80 = -7.85398205280014
x81 = 29.8451297031011
x82 = -45.5530935911043
x83 = 48.6946859012172
x84 = 4.71239022926564
x85 = 23.5619451518571
x86 = -1.57079639503667
x87 = -89.535390750197
x88 = 86.3937978869933
x89 = -32.9867232184024
x90 = -20.4203520060805
x91 = -1.57079581340397
x92 = 92.6769830592094
x92 = 92.6769830592094
Gráfico
sinx+1=0 la ecuación