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cosx=0,445 la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
          89
cos(x) = ---
         200
$$\cos{\left(x \right)} = \frac{89}{200}$$
Solución detallada
Tenemos la ecuación
$$\cos{\left(x \right)} = \frac{89}{200}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$x = \pi n + \operatorname{acos}{\left(\frac{89}{200} \right)}$$
$$x = \pi n - \pi + \operatorname{acos}{\left(\frac{89}{200} \right)}$$
O
$$x = \pi n + \operatorname{acos}{\left(\frac{89}{200} \right)}$$
$$x = \pi n - \pi + \operatorname{acos}{\left(\frac{89}{200} \right)}$$
, donde n es cualquier número entero
Gráfica
Respuesta rápida [src]
           / 89\       
x1 = - acos|---| + 2*pi
           \200/       
$$x_{1} = - \operatorname{acos}{\left(\frac{89}{200} \right)} + 2 \pi$$
         / 89\
x2 = acos|---|
         \200/
$$x_{2} = \operatorname{acos}{\left(\frac{89}{200} \right)}$$
x2 = acos(89/200)
Suma y producto de raíces [src]
suma
      / 89\              / 89\
- acos|---| + 2*pi + acos|---|
      \200/              \200/
$$\operatorname{acos}{\left(\frac{89}{200} \right)} + \left(- \operatorname{acos}{\left(\frac{89}{200} \right)} + 2 \pi\right)$$
=
2*pi
$$2 \pi$$
producto
/      / 89\       \     / 89\
|- acos|---| + 2*pi|*acos|---|
\      \200/       /     \200/
$$\left(- \operatorname{acos}{\left(\frac{89}{200} \right)} + 2 \pi\right) \operatorname{acos}{\left(\frac{89}{200} \right)}$$
=
/      / 89\       \     / 89\
|- acos|---| + 2*pi|*acos|---|
\      \200/       /     \200/
$$\left(- \operatorname{acos}{\left(\frac{89}{200} \right)} + 2 \pi\right) \operatorname{acos}{\left(\frac{89}{200} \right)}$$
(-acos(89/200) + 2*pi)*acos(89/200)
Respuesta numérica [src]
x1 = 57.6582898305764
x2 = 76.5078457521152
x3 = 1.10962206596014
x4 = 629.428152783919
x5 = 17.7399338555786
x6 = 26.2423632946785
x7 = 89.0742163664744
x8 = 80.5717869273745
x9 = -55.4390456986561
x10 = -70.2246604449356
x11 = -76.5078457521152
x12 = -49.1558603914766
x13 = -99.4213428489132
x14 = 19.9591779874989
x15 = 7.39280737313973
x16 = -26.2423632946785
x17 = 11.456748548399
x18 = 32.5255486018581
x19 = 24.0231191627582
x20 = -19.9591779874989
x21 = -74.2886016201949
x22 = -1.10962206596014
x23 = -51.3751045233968
x24 = -7.39280737313973
x25 = -32.5255486018581
x26 = 82.7910310592948
x27 = -5.17356324121944
x28 = 49.1558603914766
x29 = -61.7222310058357
x30 = -45.0919192162172
x31 = -82.7910310592948
x32 = 45.0919192162172
x33 = 86.8549722345541
x34 = 93.1381575417336
x35 = -68.0054163130153
x36 = -57.6582898305764
x37 = -24.0231191627582
x38 = -93.1381575417336
x39 = -30.3063044699378
x40 = -86.8549722345541
x41 = 38.8087339090377
x42 = 74.2886016201949
x43 = 55.4390456986561
x44 = 36.5894897771174
x45 = -63.941475137756
x46 = 95.3574016736539
x47 = -11.456748548399
x48 = -13.6759926803193
x49 = 99.4213428489132
x50 = 51.3751045233968
x51 = 30.3063044699378
x52 = -36.5894897771174
x53 = -95.3574016736539
x54 = 63.941475137756
x55 = 68.0054163130153
x56 = 5.17356324121944
x57 = -17.7399338555786
x58 = -89.0742163664744
x59 = 70.2246604449356
x60 = -38.8087339090377
x61 = 61.7222310058357
x62 = 42.872675084297
x63 = -42.872675084297
x64 = 13.6759926803193
x65 = -80.5717869273745
x65 = -80.5717869273745