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cos(x)=(1/10)

cos(x)=(1/10) la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
cos(x) = 1/10
$$\cos{\left(x \right)} = \frac{1}{10}$$
Solución detallada
Tenemos la ecuación
$$\cos{\left(x \right)} = \frac{1}{10}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$x = \pi n + \operatorname{acos}{\left(\frac{1}{10} \right)}$$
$$x = \pi n - \pi + \operatorname{acos}{\left(\frac{1}{10} \right)}$$
O
$$x = \pi n + \operatorname{acos}{\left(\frac{1}{10} \right)}$$
$$x = \pi n - \pi + \operatorname{acos}{\left(\frac{1}{10} \right)}$$
, donde n es cualquier número entero
Gráfica
Respuesta rápida [src]
x1 = -acos(1/10) + 2*pi
$$x_{1} = - \operatorname{acos}{\left(\frac{1}{10} \right)} + 2 \pi$$
x2 = acos(1/10)
$$x_{2} = \operatorname{acos}{\left(\frac{1}{10} \right)}$$
x2 = acos(1/10)
Suma y producto de raíces [src]
suma
-acos(1/10) + 2*pi + acos(1/10)
$$\operatorname{acos}{\left(\frac{1}{10} \right)} + \left(- \operatorname{acos}{\left(\frac{1}{10} \right)} + 2 \pi\right)$$
=
2*pi
$$2 \pi$$
producto
(-acos(1/10) + 2*pi)*acos(1/10)
$$\left(- \operatorname{acos}{\left(\frac{1}{10} \right)} + 2 \pi\right) \operatorname{acos}{\left(\frac{1}{10} \right)}$$
=
(-acos(1/10) + 2*pi)*acos(1/10)
$$\left(- \operatorname{acos}{\left(\frac{1}{10} \right)} + 2 \pi\right) \operatorname{acos}{\left(\frac{1}{10} \right)}$$
(-acos(1/10) + 2*pi)*acos(1/10)
Respuesta numérica [src]
x1 = -73.9275947805217
x2 = 55.0780388589829
x3 = -39.1697407487109
x4 = -7.75381421281292
x5 = -64.3024819774292
x6 = -83.152037898968
x7 = -92.7771507020605
x8 = -155.609003773856
x9 = 102.001593820507
x10 = 4.81255640154625
x11 = -99.06033600924
x12 = 76.8688525917884
x13 = -89.4352232061475
x14 = 80.2107800877013
x15 = -55.0780388589829
x16 = 70.5856672846088
x17 = -20.3201848271721
x18 = -51.73611136307
x19 = -76.8688525917884
x20 = -11.0957417087258
x21 = 73.9275947805217
x22 = -17.3789270159054
x23 = 42.5116682446238
x24 = 10588.6378715032
x25 = 99.06033600924
x26 = 36.2284829374442
x27 = -4.81255640154625
x28 = 61.3612241661625
x29 = -70.5856672846088
x30 = -874.833386603596
x31 = 83.152037898968
x32 = -42.5116682446238
x33 = -95.7184085133271
x34 = -45.4529260558904
x35 = 95.7184085133271
x36 = -48.7948535518034
x37 = 20.3201848271721
x38 = -80.2107800877013
x39 = -1.47062890563334
x40 = 92.7771507020605
x41 = 51.73611136307
x42 = 48.7948535518034
x43 = -32.8865554415313
x44 = 58.0192966702496
x45 = -36.2284829374442
x46 = -58.0192966702496
x47 = -86.4939653948809
x48 = 64.3024819774292
x49 = 29.9452976302646
x50 = 26.6033701343517
x51 = 11.0957417087258
x52 = 39.1697407487109
x53 = 32.8865554415313
x54 = 17.3789270159054
x55 = 14.0369995199925
x56 = 86.4939653948809
x57 = 23.662112323085
x58 = 45.4529260558904
x59 = -29.9452976302646
x60 = 7.75381421281292
x61 = -67.6444094733421
x62 = 89.4352232061475
x63 = -102.001593820507
x64 = -23.662112323085
x65 = -14.0369995199925
x66 = -26.6033701343517
x67 = 67.6444094733421
x68 = -61.3612241661625
x69 = 1.47062890563334
x69 = 1.47062890563334
Gráfico
cos(x)=(1/10) la ecuación