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cos(x)=+2/3 la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
cos(x) = 2/3
$$\cos{\left(x \right)} = \frac{2}{3}$$
Solución detallada
Tenemos la ecuación
$$\cos{\left(x \right)} = \frac{2}{3}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$x = \pi n + \operatorname{acos}{\left(\frac{2}{3} \right)}$$
$$x = \pi n - \pi + \operatorname{acos}{\left(\frac{2}{3} \right)}$$
O
$$x = \pi n + \operatorname{acos}{\left(\frac{2}{3} \right)}$$
$$x = \pi n - \pi + \operatorname{acos}{\left(\frac{2}{3} \right)}$$
, donde n es cualquier número entero
Gráfica
Respuesta rápida [src]
x1 = -acos(2/3) + 2*pi
$$x_{1} = - \operatorname{acos}{\left(\frac{2}{3} \right)} + 2 \pi$$
x2 = acos(2/3)
$$x_{2} = \operatorname{acos}{\left(\frac{2}{3} \right)}$$
x2 = acos(2/3)
Suma y producto de raíces [src]
suma
-acos(2/3) + 2*pi + acos(2/3)
$$\operatorname{acos}{\left(\frac{2}{3} \right)} + \left(- \operatorname{acos}{\left(\frac{2}{3} \right)} + 2 \pi\right)$$
=
2*pi
$$2 \pi$$
producto
(-acos(2/3) + 2*pi)*acos(2/3)
$$\left(- \operatorname{acos}{\left(\frac{2}{3} \right)} + 2 \pi\right) \operatorname{acos}{\left(\frac{2}{3} \right)}$$
=
(-acos(2/3) + 2*pi)*acos(2/3)
$$\left(- \operatorname{acos}{\left(\frac{2}{3} \right)} + 2 \pi\right) \operatorname{acos}{\left(\frac{2}{3} \right)}$$
(-acos(2/3) + 2*pi)*acos(2/3)
Respuesta numérica [src]
x1 = 82.5224776639025
x2 = 32.2569952064659
x3 = -36.8580431725096
x4 = -57.3897364351842
x5 = 7.12425397774752
x6 = -24.2916725581504
x7 = 74.5571550155871
x8 = 61.9907844012279
x9 = -99.6898962443055
x10 = 36.8580431725096
x11 = 43.1412284796892
x12 = -19.6906245921067
x13 = -80.8403403227667
x14 = -51.1065511280046
x15 = 30.57485786533
x16 = -82.5224776639025
x17 = -7.12425397774752
x18 = 24.2916725581504
x19 = 93.4067109371259
x20 = 13.4074392849271
x21 = -13.4074392849271
x22 = 80.8403403227667
x23 = -63.6729217423638
x24 = -76.239292356723
x25 = 11.7253019437912
x26 = -32.2569952064659
x27 = -25.9738098992863
x28 = 18.0084872509708
x29 = -61.9907844012279
x30 = -49.4244137868688
x31 = -88.8056629710821
x32 = 0.84106867056793
x33 = 99.6898962443055
x34 = 68.2739697084075
x35 = -69.9561070495434
x36 = 63.6729217423638
x37 = -68.2739697084075
x38 = -38.5401805136454
x39 = 38.5401805136454
x40 = -11.7253019437912
x41 = -93.4067109371259
x42 = -30.57485786533
x43 = 44.823365820825
x44 = -95.0888482782617
x45 = 95.0888482782617
x46 = -5.44211663661166
x47 = 55.7075990940483
x48 = -44.823365820825
x49 = -0.84106867056793
x50 = 49.4244137868688
x51 = 76.239292356723
x52 = -55.7075990940483
x53 = -101.372033585441
x54 = 19.6906245921067
x55 = 88.8056629710821
x56 = -18.0084872509708
x57 = -87.1235256299463
x58 = 51.1065511280046
x59 = 87.1235256299463
x60 = -74.5571550155871
x61 = 5.44211663661166
x62 = 57.3897364351842
x63 = -43.1412284796892
x64 = 69.9561070495434
x65 = 25.9738098992863
x65 = 25.9738098992863