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3*sin(X)-3=0 la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
3*sin(x) - 3 = 0
$$3 \sin{\left(x \right)} - 3 = 0$$
Solución detallada
Tenemos la ecuación
$$3 \sin{\left(x \right)} - 3 = 0$$
es la ecuación trigonométrica más simple
Transportemos -3 al miembro derecho de la ecuación

cambiando el signo de -3

Obtenemos:
$$3 \sin{\left(x \right)} = 3$$
Dividamos ambos miembros de la ecuación en 3

La ecuación se convierte en
$$\sin{\left(x \right)} = 1$$
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
$$x = 2 \pi n + \frac{\pi}{2}$$
$$x = 2 \pi n + \frac{\pi}{2}$$
, donde n es cualquier número entero
Gráfica
Suma y producto de raíces [src]
suma
pi
--
2 
$$\frac{\pi}{2}$$
=
pi
--
2 
$$\frac{\pi}{2}$$
producto
pi
--
2 
$$\frac{\pi}{2}$$
=
pi
--
2 
$$\frac{\pi}{2}$$
pi/2
Respuesta rápida [src]
     pi
x1 = --
     2 
$$x_{1} = \frac{\pi}{2}$$
x1 = pi/2
Respuesta numérica [src]
x1 = 95.8185759975842
x2 = -29.8451306226524
x3 = 83.2522056907544
x4 = 70.6858352127237
x5 = -42.4115005850814
x6 = -10.9955746401247
x7 = -29.8451300954883
x8 = -86.3937984749131
x9 = 64.4026493072124
x10 = -36.1283153448593
x11 = 7.85398112872719
x12 = -67.5442420547782
x13 = 32.9867225164981
x14 = 39.2699085343272
x15 = -42.4115013226904
x16 = -61.2610562447228
x17 = 89.5353901350773
x18 = 7.85398174307326
x19 = 70.6858344802043
x20 = -23.5619450115115
x21 = 20.4203521477756
x22 = -92.6769829355125
x23 = -98.9601689530982
x24 = -4.71238862219396
x25 = -48.6946865760795
x26 = -29.8451297624452
x27 = -73.8274272798455
x28 = -92.6769837307794
x29 = 51.8362789031518
x30 = 14.1371673791846
x31 = 95.8185764110282
x32 = 26.7035380604159
x33 = -4.71238942125338
x34 = 26.703537322248
x35 = 58.1194643979608
x36 = -73.8274269047688
x37 = 95.8185760629547
x38 = 51.8362782775539
x39 = 58.1194636580315
x40 = 58.119464520069
x41 = 45.553093730794
x42 = -17.2787590920677
x43 = -23.5619443878998
x44 = -98.9601681513438
x45 = 51.8362788867584
x46 = 32.9867233134552
x47 = 76.9690204681432
x48 = -36.1283154173375
x49 = 83.252204888767
x50 = -10.9955738413568
x51 = 20.4203527610188
x52 = -80.1106125781572
x53 = 45.5530929823099
x54 = -86.3937977431483
x55 = -73.8274277616689
x56 = 1.57079657289894
x57 = 14.1371665172699
x58 = 76.9690196732095
x59 = 14.1371671100222
x60 = -23.5619449492902
x61 = -80.1106124650157
x62 = 7.85398177249874
x63 = -67.5442415371049
x64 = 95.8185754266891
x65 = 20.420352160156
x66 = 1.57079582971902
x67 = -48.6946857788076
x68 = 39.2699077336963
x69 = -80.1106131679426
x70 = -54.9778709962906
x71 = -61.2610569934486
x72 = 102.101760799573
x73 = -36.1283160197768
x74 = -86.3937988139119
x75 = 64.4026492731727
x76 = 64.4026499096387
x77 = 89.535390888605
x78 = -54.9778717966574
x79 = -17.2787598356363
x80 = -67.5442421706656
x80 = -67.5442421706656