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cos(x)=3/4

cos(x)=3/4 la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
cos(x) = 3/4
$$\cos{\left(x \right)} = \frac{3}{4}$$
Solución detallada
Tenemos la ecuación
$$\cos{\left(x \right)} = \frac{3}{4}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$x = \pi n + \operatorname{acos}{\left(\frac{3}{4} \right)}$$
$$x = \pi n - \pi + \operatorname{acos}{\left(\frac{3}{4} \right)}$$
O
$$x = \pi n + \operatorname{acos}{\left(\frac{3}{4} \right)}$$
$$x = \pi n - \pi + \operatorname{acos}{\left(\frac{3}{4} \right)}$$
, donde n es cualquier número entero
Gráfica
Respuesta rápida [src]
x1 = -acos(3/4) + 2*pi
$$x_{1} = - \operatorname{acos}{\left(\frac{3}{4} \right)} + 2 \pi$$
x2 = acos(3/4)
$$x_{2} = \operatorname{acos}{\left(\frac{3}{4} \right)}$$
x2 = acos(3/4)
Suma y producto de raíces [src]
suma
-acos(3/4) + 2*pi + acos(3/4)
$$\operatorname{acos}{\left(\frac{3}{4} \right)} + \left(- \operatorname{acos}{\left(\frac{3}{4} \right)} + 2 \pi\right)$$
=
2*pi
$$2 \pi$$
producto
(-acos(3/4) + 2*pi)*acos(3/4)
$$\left(- \operatorname{acos}{\left(\frac{3}{4} \right)} + 2 \pi\right) \operatorname{acos}{\left(\frac{3}{4} \right)}$$
=
(-acos(3/4) + 2*pi)*acos(3/4)
$$\left(- \operatorname{acos}{\left(\frac{3}{4} \right)} + 2 \pi\right) \operatorname{acos}{\left(\frac{3}{4} \right)}$$
(-acos(3/4) + 2*pi)*acos(3/4)
Respuesta numérica [src]
x1 = -57.2714020124297
x2 = -38.4218460908909
x3 = 80.9586747455212
x4 = 99.80823066706
x5 = -99.80823066706
x6 = -94.9705138555072
x7 = -101.253699162687
x8 = 19.5722901693522
x9 = -82.404143241148
x10 = -0.722734247813416
x11 = 24.4100069809049
x12 = -62.1091188239824
x13 = -49.5427482096233
x14 = -63.5545873196093
x15 = -43.2595629024437
x16 = -7.005919554993
x17 = 157.802366927303
x18 = -11.8436363665458
x19 = 18.1268216737253
x20 = 7.005919554993
x21 = -32.1386607837113
x22 = 93.5250453598804
x23 = 25.8554754765318
x24 = 82.404143241148
x25 = -93.5250453598804
x26 = -88.6873285483276
x27 = 43.2595629024437
x28 = 57.2714020124297
x29 = 69.8377726267889
x30 = 44.7050313980705
x31 = 88.6873285483276
x32 = -30.6931922880845
x33 = -19.5722901693522
x34 = -5.56045105936617
x35 = 5.56045105936617
x36 = -87.2418600527008
x37 = 16770.5443191101
x38 = -44.7050313980705
x39 = 63.5545873196093
x40 = 420.250681333219
x41 = -50.9882167052501
x42 = 0.722734247813416
x43 = -80.9586747455212
x44 = 68.392304131162
x45 = 30.6931922880845
x46 = -18.1268216737253
x47 = 13.2891048621726
x48 = -76.1209579339685
x49 = 76.1209579339685
x50 = 94.9705138555072
x51 = -68.392304131162
x52 = 32.1386607837113
x53 = -24.4100069809049
x54 = 50.9882167052501
x55 = 55.8259335168029
x56 = -74.6754894383416
x57 = 49.5427482096233
x58 = 36.9763775952641
x59 = -36.9763775952641
x60 = -25.8554754765318
x61 = -13.2891048621726
x62 = 74.6754894383416
x63 = -69.8377726267889
x64 = 87.2418600527008
x65 = 11.8436363665458
x66 = -55.8259335168029
x67 = 38.4218460908909
x68 = 62.1091188239824
x68 = 62.1091188239824
Gráfico
cos(x)=3/4 la ecuación