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cos(x)=-(4/5)

cos(x)=-(4/5) la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
cos(x) = -4/5
$$\cos{\left(x \right)} = - \frac{4}{5}$$
Solución detallada
Tenemos la ecuación
$$\cos{\left(x \right)} = - \frac{4}{5}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$x = \pi n + \operatorname{acos}{\left(- \frac{4}{5} \right)}$$
$$x = \pi n - \pi + \operatorname{acos}{\left(- \frac{4}{5} \right)}$$
O
$$x = \pi n + \operatorname{acos}{\left(- \frac{4}{5} \right)}$$
$$x = \pi n - \pi + \operatorname{acos}{\left(- \frac{4}{5} \right)}$$
, donde n es cualquier número entero
Gráfica
Suma y producto de raíces [src]
suma
-acos(-4/5) + 2*pi + acos(-4/5)
$$\operatorname{acos}{\left(- \frac{4}{5} \right)} + \left(- \operatorname{acos}{\left(- \frac{4}{5} \right)} + 2 \pi\right)$$
=
2*pi
$$2 \pi$$
producto
(-acos(-4/5) + 2*pi)*acos(-4/5)
$$\left(- \operatorname{acos}{\left(- \frac{4}{5} \right)} + 2 \pi\right) \operatorname{acos}{\left(- \frac{4}{5} \right)}$$
=
(-acos(-4/5) + 2*pi)*acos(-4/5)
$$\left(- \operatorname{acos}{\left(- \frac{4}{5} \right)} + 2 \pi\right) \operatorname{acos}{\left(- \frac{4}{5} \right)}$$
(-acos(-4/5) + 2*pi)*acos(-4/5)
Respuesta rápida [src]
x1 = -acos(-4/5) + 2*pi
$$x_{1} = - \operatorname{acos}{\left(- \frac{4}{5} \right)} + 2 \pi$$
x2 = acos(-4/5)
$$x_{2} = \operatorname{acos}{\left(- \frac{4}{5} \right)}$$
x2 = acos(-4/5)
Respuesta numérica [src]
x1 = -54.0505762198198
x2 = 52.7635740022332
x3 = -60.3337615269994
x4 = -52.7635740022332
x5 = -8.7812768519761
x6 = -91.7496880628973
x7 = 54.0505762198198
x8 = 5287.94393710042
x9 = -79.1833174485381
x10 = 66.6169468341789
x11 = -35.201020298281
x12 = 90.4626858453107
x13 = 3653.02875501614
x14 = 28.9178349911014
x15 = 79.1833174485381
x16 = -46.4803886950536
x17 = -96.7458711524903
x18 = -16.3514643767422
x19 = -47.7673909126402
x20 = -147.011353609927
x21 = -66.6169468341789
x22 = 98.0328733700769
x23 = 59.0467593094128
x24 = -22.6346496839218
x25 = 41.4842056054606
x26 = -15.0644621591557
x27 = 33.9140180806944
x28 = -21.3476474663353
x29 = 27.6308327735149
x30 = 16.3514643767422
x31 = 65.3299446165924
x32 = 71.613129923772
x33 = -41.4842056054606
x34 = 35.201020298281
x35 = 22.6346496839218
x36 = 60.3337615269994
x37 = -98.0328733700769
x38 = 46.4803886950536
x39 = -10.0682790695627
x40 = 544.139030179828
x41 = -27.6308327735149
x42 = -40.197203387874
x43 = -90.4626858453107
x44 = -71.613129923772
x45 = -3.78509376238308
x46 = -77.8963152309515
x47 = -256822.701339421
x48 = 91.7496880628973
x49 = -2.49809154479651
x50 = 2.49809154479651
x51 = 96.7458711524903
x52 = 72.9001321413585
x53 = 47.7673909126402
x54 = 77.8963152309515
x55 = 15.0644621591557
x56 = 40.197203387874
x57 = -72.9001321413585
x58 = 3.78509376238308
x59 = 21.3476474663353
x60 = -59.0467593094128
x61 = -217.413394206489
x62 = -28.9178349911014
x63 = 84.1795005381311
x64 = 85.4665027557177
x65 = 10.0682790695627
x66 = 8.7812768519761
x67 = -85.4665027557177
x68 = -33.9140180806944
x69 = -84.1795005381311
x70 = -65.3299446165924
x70 = -65.3299446165924
Gráfico
cos(x)=-(4/5) la ecuación