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cos(x)=1/4

cos(x)=1/4 la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
cos(x) = 1/4
$$\cos{\left(x \right)} = \frac{1}{4}$$
Gráfica
Respuesta rápida [src]
x1 = -acos(1/4) + 2*pi
$$x_{1} = - \operatorname{acos}{\left(\frac{1}{4} \right)} + 2 \pi$$
x2 = acos(1/4)
$$x_{2} = \operatorname{acos}{\left(\frac{1}{4} \right)}$$
x2 = acos(1/4)
Suma y producto de raíces [src]
suma
-acos(1/4) + 2*pi + acos(1/4)
$$\operatorname{acos}{\left(\frac{1}{4} \right)} + \left(- \operatorname{acos}{\left(\frac{1}{4} \right)} + 2 \pi\right)$$
=
2*pi
$$2 \pi$$
producto
(-acos(1/4) + 2*pi)*acos(1/4)
$$\left(- \operatorname{acos}{\left(\frac{1}{4} \right)} + 2 \pi\right) \operatorname{acos}{\left(\frac{1}{4} \right)}$$
=
(-acos(1/4) + 2*pi)*acos(1/4)
$$\left(- \operatorname{acos}{\left(\frac{1}{4} \right)} + 2 \pi\right) \operatorname{acos}{\left(\frac{1}{4} \right)}$$
(-acos(1/4) + 2*pi)*acos(1/4)
Respuesta numérica [src]
x1 = 36.3809957714247
x2 = 11.2482545427064
x3 = 13.884486686012
x4 = 57.8667838362691
x5 = -51.5835985290895
x6 = 95.5658956793466
x7 = -189.81367528704
x8 = 26.4508573003712
x9 = 92.929663536041
x10 = -95.5658956793466
x11 = -92.929663536041
x12 = 55.2305516929635
x13 = 51.5835985290895
x14 = 42.6641810786043
x15 = -17.5314398498859
x16 = 80.3632929216818
x17 = 30.0978104642451
x18 = -45.3004132219099
x19 = 76.7163397578079
x20 = -67.7969223073226
x21 = -82.9995250649874
x22 = -76.7163397578079
x23 = -11.2482545427064
x24 = 17.5314398498859
x25 = 45.3004132219099
x26 = -13.884486686012
x27 = -4.96506923552677
x28 = -55.2305516929635
x29 = -26.4508573003712
x30 = -1421.31799549424
x31 = 7.6013013788324
x32 = -89.282710372167
x33 = -1.31811607165282
x34 = -36.3809957714247
x35 = 64.1499691434487
x36 = -74.0801076145022
x37 = -23.8146251570655
x38 = 99.2128488432206
x39 = -32.7340426075507
x40 = 23.8146251570655
x41 = 74.0801076145022
x42 = 1.31811607165282
x43 = 61.513737000143
x44 = -70.4331544506283
x45 = 39.0172279147303
x46 = 67.7969223073226
x47 = -64.1499691434487
x48 = 48.9473663857839
x49 = -7.6013013788324
x50 = 82.9995250649874
x51 = -61.513737000143
x52 = -39.0172279147303
x53 = -48.9473663857839
x54 = -30.0978104642451
x55 = -99.2128488432206
x56 = 20.1676719931916
x57 = -80.3632929216818
x58 = -86.6464782288614
x59 = 32.7340426075507
x60 = 4.96506923552677
x61 = -20.1676719931916
x62 = 86.6464782288614
x63 = -57.8667838362691
x64 = 89.282710372167
x65 = 70.4331544506283
x66 = -42.6641810786043
x66 = -42.6641810786043
Gráfico
cos(x)=1/4 la ecuación