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cos(x-(pi/6))=1

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)
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 rápida [src] 
     pi
x1 = --
     6
$$x_{1} = \frac{\pi}{6}$$ 
x1 = pi/6
Respuesta numérica [src] 
x1 = 82.2050078076022
x2 = -43.4586992463883
x3 = -100.007366130816
x4 = -5.75958688099515
x5 = 1148089.27566767
x6 = 38.222710253794
x7 = -93.7241808502169
x8 = 75.9218219651159
x9 = 57.0722669678592
x10 = 101.054563320377
x11 = 69.6386366502817
x12 = 13.0899698124794
x13 = 44.5058960754604
x14 = -62.3082541046692
x15 = 82.2050082364122
x16 = 31.9395255853156
x17 = 38.2227110923636
x18 = -62.3082546549224
x19 = -30.8923281481345
x20 = 50.7890809635851
x21 = -56.0250689627851
x22 = -43.4586980900846
x23 = 0.523598989487319
x24 = -18.3259575894274
x25 = -56.0250686737045
x26 = -93.7241803428761
x27 = 57.0722661641091
x28 = -87.4409951626836
x29 = -68.5914400728566
x30 = 13.0899706264067
x31 = -37.1755133514019
x32 = -93.7241811464116
x33 = -62.3082548040693
x34 = -18.3259576528335
x35 = -43.4586985346108
x36 = 63.3554513897102
x37 = -74.8746253041062
x38 = -37.1755125810757
x39 = 6.80678380605397
x40 = 38.2227096146998
x41 = 6.80678457235213
x42 = -12.0427717972535
x43 = -12.0427731031181
x44 = -100.007365805676
x45 = -87.440995693181
x46 = 19.373155023778
x47 = 25.6563394986191
x48 = 0.523599292248804
x49 = -12.0427715433223
x50 = 75.921822712036
x51 = -81.1578105087816
x52 = 44.5058957827896
x53 = -30.8923273430118
x54 = 25.6563402122788
x55 = 75.9218225293406
x56 = 82.2050073898185
x57 = -81.1578097346531
x58 = -49.7418840144382
x59 = 50.7890817256271
x60 = -87.4409950088659
x61 = 13.0899690079379
x62 = 88.4881935924098
x63 = -49.7418836877515
x64 = -24.6091421332653
x65 = -68.5914392903944
x66 = 31.9395248180032
x67 = -12.0427723286991
x68 = 63.3554521807345
x69 = 69.6386365178538
x70 = 19.3731542353829
x71 = -5.75958652427977
x72 = 38.2227106406115
x73 = 69.6386373706038
x74 = 31.939525366622
x75 = 94.7713788787456
x76 = 88.4881929416299
x77 = 88.4881931672644
x78 = -74.8746244986124
x79 = -56.025069474968
x80 = 44.5058964424528
x81 = 25.6563394682159
x82 = 94.7713781211905
x83 = 107.33774924983
x84 = -43.4586978581934
x85 = 0.523598624044635
x86 = -18.3259569461439
x87 = -49.7418831973114
x88 = -24.6091429188071
x89 = -5.75958605222168
x89 = -5.75958605222168
Gráfico
cos(x-(pi/6))=1 la ecuación
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