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cos(x)=18/19 la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
         18
cos(x) = --
         19
$$\cos{\left(x \right)} = \frac{18}{19}$$
Solución detallada
Tenemos la ecuación
$$\cos{\left(x \right)} = \frac{18}{19}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$x = \pi n + \operatorname{acos}{\left(\frac{18}{19} \right)}$$
$$x = \pi n - \pi + \operatorname{acos}{\left(\frac{18}{19} \right)}$$
O
$$x = \pi n + \operatorname{acos}{\left(\frac{18}{19} \right)}$$
$$x = \pi n - \pi + \operatorname{acos}{\left(\frac{18}{19} \right)}$$
, donde n es cualquier número entero
Gráfica
Suma y producto de raíces [src]
suma
      /18\              /18\
- acos|--| + 2*pi + acos|--|
      \19/              \19/
$$\operatorname{acos}{\left(\frac{18}{19} \right)} + \left(- \operatorname{acos}{\left(\frac{18}{19} \right)} + 2 \pi\right)$$
=
2*pi
$$2 \pi$$
producto
/      /18\       \     /18\
|- acos|--| + 2*pi|*acos|--|
\      \19/       /     \19/
$$\left(- \operatorname{acos}{\left(\frac{18}{19} \right)} + 2 \pi\right) \operatorname{acos}{\left(\frac{18}{19} \right)}$$
=
/      /18\       \     /18\
|- acos|--| + 2*pi|*acos|--|
\      \19/       /     \19/
$$\left(- \operatorname{acos}{\left(\frac{18}{19} \right)} + 2 \pi\right) \operatorname{acos}{\left(\frac{18}{19} \right)}$$
(-acos(18/19) + 2*pi)*acos(18/19)
Respuesta rápida [src]
           /18\       
x1 = - acos|--| + 2*pi
           \19/       
$$x_{1} = - \operatorname{acos}{\left(\frac{18}{19} \right)} + 2 \pi$$
         /18\
x2 = acos|--|
         \19/
$$x_{2} = \operatorname{acos}{\left(\frac{18}{19} \right)}$$
x2 = acos(18/19)
Respuesta numérica [src]
x1 = -62.5059701145748
x2 = -6.60906826440063
x3 = -69.4409213361965
x4 = 82.0072919505557
x5 = -38.0249948002986
x6 = 75.072340728934
x7 = -44.3081801074781
x8 = -56.8745507218373
x9 = -0.325882957221039
x10 = -690.824500832533
x11 = 31.0900435786769
x12 = 81.3555260361136
x13 = -49.9395995002156
x14 = 15022.7701865092
x15 = 56.8745507218373
x16 = -93.9218966504728
x17 = 100.856847872094
x18 = -63.1577360290169
x19 = -75.7241066433761
x20 = 43.6564141930361
x21 = -75.072340728934
x22 = -12.2404876571381
x23 = 112.771452572012
x24 = -19.1754388787598
x25 = 100.205081957652
x26 = -88.2904772577352
x27 = 7433.33410135067
x28 = 56.2227848073952
x29 = 87.6387113432932
x30 = 31.741809493119
x31 = 18.5236729643177
x32 = 12.8922535715802
x33 = 62.5059701145748
x34 = -31.0900435786769
x35 = -31.741809493119
x36 = -50.5913654146577
x37 = 12.2404876571381
x38 = -82.0072919505557
x39 = -12.8922535715802
x40 = -43.6564141930361
x41 = 37.3732288858565
x42 = 68.7891554217544
x43 = -5.95730234995855
x44 = 19.1754388787598
x45 = 50.5913654146577
x46 = 49.9395995002156
x47 = 75.7241066433761
x48 = -18.5236729643177
x49 = 88.2904772577352
x50 = -56.2227848073952
x51 = 93.9218966504728
x52 = -100.205081957652
x53 = 63.1577360290169
x54 = -68.7891554217544
x55 = -25.4586241859394
x56 = 69.4409213361965
x57 = 24.8068582714973
x58 = -37.3732288858565
x59 = -81.3555260361136
x60 = 0.325882957221039
x61 = 5.95730234995855
x62 = -24.8068582714973
x63 = -278269.385001412
x64 = -87.6387113432932
x65 = 113.423218486454
x66 = 94.5736625649148
x67 = 6.60906826440063
x68 = -100.856847872094
x69 = 25.4586241859394
x70 = -94.5736625649148
x71 = 38.0249948002986
x72 = 44.3081801074781
x72 = 44.3081801074781