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cos(x-pi/6)=1 la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src] 
   /    pi\    
cos|x - --| = 1
   \    6 /
$$\cos{\left(x - \frac{\pi}{6} \right)} = 1$$
Simplificar
Solución detallada
Tenemos la ecuación
$$\cos{\left(x - \frac{\pi}{6} \right)} = 1$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$x + \frac{\pi}{3} = 2 \pi n + \operatorname{asin}{\left(1 \right)}$$
$$x + \frac{\pi}{3} = 2 \pi n - \operatorname{asin}{\left(1 \right)} + \pi$$
O
$$x + \frac{\pi}{3} = 2 \pi n + \frac{\pi}{2}$$
$$x + \frac{\pi}{3} = 2 \pi n + \frac{\pi}{2}$$
, donde n es cualquier número entero
Transportemos
$$\frac{\pi}{3}$$
al miembro derecho de la ecuación
con el signo opuesto, en total:
$$x = 2 \pi n + \frac{\pi}{6}$$
$$x = 2 \pi n + \frac{\pi}{6}$$
Gráfica
Trazar el gráfico f1(x)
Trazar el gráfico f2(x)
Respuesta rápida [src] 
     pi
x1 = --
     6
$$x_{1} = \frac{\pi}{6}$$ 
x1 = pi/6
Suma y producto de raíces [src] 
suma
pi
--
6
$$\frac{\pi}{6}$$ 
=
pi
--
6
$$\frac{\pi}{6}$$ 
producto
pi
--
6
$$\frac{\pi}{6}$$ 
=
pi
--
6
$$\frac{\pi}{6}$$ 
pi/6
Respuesta numérica [src] 
x1 = 44.5058960754604
x2 = -18.3259575894274
x3 = -30.8923273430118
x4 = -12.0427715433223
x5 = -62.3082541046692
x6 = 0.523599292248804
x7 = 0.523598624044635
x8 = 94.7713781211905
x9 = -49.7418836877515
x10 = 88.4881935924098
x11 = 13.0899690079379
x12 = 19.373155023778
x13 = -62.3082548040693
x14 = -18.3259576528335
x15 = 94.7713788787456
x16 = -37.1755133514019
x17 = 57.0722669678592
x18 = -93.7241811464116
x19 = -56.025069474968
x20 = 31.939525366622
x21 = 1148089.27566767
x22 = -24.6091429188071
x23 = 82.2050082364122
x24 = -30.8923281481345
x25 = 0.523598989487319
x26 = -68.5914400728566
x27 = -12.0427731031181
x28 = 69.6386366502817
x29 = -87.4409951626836
x30 = 50.7890809635851
x31 = 75.921822712036
x32 = -87.440995693181
x33 = -74.8746253041062
x34 = -43.4586992463883
x35 = -62.3082546549224
x36 = 57.0722661641091
x37 = -56.0250689627851
x38 = 44.5058964424528
x39 = 44.5058957827896
x40 = 107.33774924983
x41 = 25.6563402122788
x42 = 25.6563394986191
x43 = 63.3554521807345
x44 = -87.4409950088659
x45 = 13.0899706264067
x46 = -5.75958652427977
x47 = 82.2050078076022
x48 = -100.007365805676
x49 = 63.3554513897102
x50 = -100.007366130816
x51 = 6.80678380605397
x52 = -49.7418840144382
x53 = -68.5914392903944
x54 = 69.6386365178538
x55 = 31.9395248180032
x56 = -81.1578105087816
x57 = -43.4586978581934
x58 = -93.7241808502169
x59 = 69.6386373706038
x60 = 75.9218225293406
x61 = -43.4586980900846
x62 = 75.9218219651159
x63 = -12.0427723286991
x64 = -12.0427717972535
x65 = 50.7890817256271
x66 = 88.4881929416299
x67 = 31.9395255853156
x68 = -37.1755125810757
x69 = 38.2227096146998
x70 = 88.4881931672644
x71 = -5.75958605222168
x72 = 101.054563320377
x73 = 82.2050073898185
x74 = -18.3259569461439
x75 = 38.2227110923636
x76 = 38.222710253794
x77 = -93.7241803428761
x78 = 38.2227106406115
x79 = 6.80678457235213
x80 = -43.4586985346108
x81 = -56.0250686737045
x82 = 13.0899698124794
x83 = -49.7418831973114
x84 = 19.3731542353829
x85 = 25.6563394682159
x86 = -74.8746244986124
x87 = -24.6091421332653
x88 = -81.1578097346531
x89 = -5.75958688099515
x89 = -5.75958688099515
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