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-17cos(x)/2+17/2=0 la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
-17*cos(x)   17    
---------- + -- = 0
    2        2     
$$\frac{\left(-1\right) 17 \cos{\left(x \right)}}{2} + \frac{17}{2} = 0$$
Solución detallada
Tenemos la ecuación
$$\frac{\left(-1\right) 17 \cos{\left(x \right)}}{2} + \frac{17}{2} = 0$$
es la ecuación trigonométrica más simple
Transportemos 17/2 al miembro derecho de la ecuación

cambiando el signo de 17/2

Obtenemos:
$$\frac{\left(-1\right) 17 \cos{\left(x \right)}}{2} = - \frac{17}{2}$$
Dividamos ambos miembros de la ecuación en -17/2

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 = -81.6814092565354
x2 = 3.40772025642917e-7
x3 = -12.5663703112531
x4 = 37.6991120311338
x5 = -6.2831851275477
x6 = -87.9645943586158
x7 = 87.9645946044253
x8 = -37.6991121287155
x9 = 6.28318528420851
x10 = 69.1150379887504
x11 = -62.8318534787248
x12 = 43.9822966661001
x13 = 43.9822974733639
x14 = -94.2477797298079
x15 = 94.2477792651059
x16 = 56.5486676011951
x17 = -87.964593928489
x18 = -100.530964626003
x19 = -75.3982238741744
x20 = -25.1327407505866
x21 = 62.8318535568358
x22 = 50.2654824463392
x23 = -18.8495555173448
x24 = -43.9822967932182
x25 = -18.8495563230046
x26 = -12.5663710889626
x27 = 37.6991113348642
x28 = 6.28318500093652
x29 = 18.8495556275525
x30 = -94.2477801171671
x31 = 56.5486682809363
x32 = 75.3982240031607
x33 = 25.1327416384075
x34 = 6.28318579821791
x35 = -31.4159267157965
x36 = 31.4159268459961
x37 = -50.2654829667315
x38 = -50.2654822863493
x39 = -25.1327415297174
x40 = 12.5663704426592
x41 = -4.79511606158652e-7
x42 = 94.2477796093523
x43 = -69.1150386869085
x44 = -6.2831858160515
x45 = 37.6991115173992
x46 = 56.5486680806249
x47 = 62.8318527849002
x48 = -56.5486682426592
x49 = -43.9822971745392
x50 = -43.9822976246252
x51 = 18.8495564031971
x52 = -56.5486674685864
x53 = -75.3982231720141
x54 = -87.9645947692094
x55 = 75.3982232188727
x56 = 94.2477800892631
x57 = 12.5663711301703
x58 = 87.964594335905
x59 = 81.6814091897036
x60 = -6.28318555849548
x61 = -31.4159260208155
x62 = -37.6991113479743
x63 = 87.9645938121814
x64 = 0.0
x65 = -81.6814084945807
x66 = 12.5663710110881
x67 = 31.4159260648825
x68 = 100.530965157364
x69 = -37.6991118772631
x70 = 43.9822971694647
x71 = -94.2477794452815
x72 = -31.4159260507536
x73 = 81.6814084860076
x74 = 50.2654829439723
x75 = -81.6814090382277
x76 = 100.530964759815
x77 = 81.6814085860518
x78 = 25.1327408328211
x79 = -50.265482641087
x80 = 69.115038794053
x81 = -62.831852673202
x82 = 50.2654821322586
x83 = -69.1150379045123
x83 = -69.1150379045123