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cos(x)/2=1/2

cos(x)/2=1/2 la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
cos(x)      
------ = 1/2
  2         
$$\frac{\cos{\left(x \right)}}{2} = \frac{1}{2}$$
Solución detallada
Tenemos la ecuación
$$\frac{\cos{\left(x \right)}}{2} = \frac{1}{2}$$
es la ecuación trigonométrica más simple
Dividamos ambos miembros de la ecuación en 1/2

La ecuación se convierte en
$$\cos{\left(x \right)} = 1$$
Esta ecuación se reorganiza en
$$x = \pi n + \operatorname{acos}{\left(1 \right)}$$
$$x = \pi n - \pi + \operatorname{acos}{\left(1 \right)}$$
O
$$x = \pi n$$
$$x = \pi n - \pi$$
, donde n es cualquier número entero
Gráfica
Suma y producto de raíces [src]
suma
2*pi
$$2 \pi$$
=
2*pi
$$2 \pi$$
producto
0*2*pi
$$0 \cdot 2 \pi$$
=
0
$$0$$
0
Respuesta rápida [src]
x1 = 0
$$x_{1} = 0$$
x2 = 2*pi
$$x_{2} = 2 \pi$$
x2 = 2*pi
Respuesta numérica [src]
x1 = 18.8495564031971
x2 = 62.8318535568358
x3 = 56.5486668532011
x4 = -50.2654829667315
x5 = 25.1327408328211
x6 = -87.964593928489
x7 = -31.4159260208155
x8 = -31.4159260507536
x9 = 94.2477792651059
x10 = -18.8495555173448
x11 = -81.6814090382277
x12 = 62.8318527849002
x13 = -4.79511606158654e-7
x14 = 12.5663704426592
x15 = -37.6991118772631
x16 = -43.9822971745392
x17 = -94.2477797298079
x18 = 69.1150379887504
x19 = 50.2654829439723
x20 = -75.3982231045728
x21 = -81.6814107940317
x22 = 50.2654821322586
x23 = 100.530965157364
x24 = 56.5486680806249
x25 = 87.9645938121814
x26 = -6.2831858160515
x27 = 3.40772025642919e-7
x28 = -81.6814092565354
x29 = 12.5663710110881
x30 = -25.1327415297174
x31 = -43.9822967932182
x32 = 100.530964759815
x33 = -62.831852673202
x34 = -18.8495563230046
x35 = -94.2477794452815
x36 = 6.28318579821791
x37 = -37.6991113479743
x38 = -87.9645943586158
x39 = 75.3982240031607
x40 = 94.2477800892631
x41 = -62.8318534787248
x42 = 31.4159268459961
x43 = -81.6814084945807
x44 = 69.115038794053
x45 = -12.5663710889626
x46 = 6.28318528420851
x47 = -100.530964626003
x48 = 31.4159260648825
x49 = 37.6991120311338
x50 = 37.6991115173992
x51 = 87.9645946044253
x52 = 50.2654824463392
x53 = 43.9822974733639
x54 = 6.28318626747926
x55 = -56.5486674685864
x56 = 81.6814085860518
x57 = 0.0
x58 = -87.9645947692094
x59 = 18.8495556275525
x60 = 12.5663711301703
x61 = -12.5663703112531
x62 = 81.6814091897036
x63 = 37.6991113348642
x64 = 81.6814084860076
x65 = 94.2477796093523
x66 = -75.3982238741744
x67 = -50.265482641087
x68 = 56.5486676011951
x69 = 75.3982232188727
x70 = 6.28318500093652
x71 = 43.9822971694647
x72 = -6.2831851275477
x73 = -43.9822976246252
x74 = -50.2654822863493
x75 = -69.1150386869085
x76 = 25.1327416384075
x77 = -81.6814075578313
x78 = -18.8495552124105
x79 = 56.5486682809363
x80 = -31.4159267157965
x81 = -25.1327407505866
x82 = -6.28318555849548
x83 = 87.964594335905
x84 = 43.9822966661001
x85 = -75.3982231720141
x86 = -69.1150379045123
x87 = -56.5486682426592
x88 = -94.2477801171671
x89 = -37.6991121287155
x89 = -37.6991121287155
Gráfico
cos(x)/2=1/2 la ecuación