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cosx=√2/2

cosx=√2/2 la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
           ___
         \/ 2 
cos(x) = -----
           2  
$$\cos{\left(x \right)} = \frac{\sqrt{2}}{2}$$
Solución detallada
Tenemos la ecuación
$$\cos{\left(x \right)} = \frac{\sqrt{2}}{2}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$x = \pi n + \operatorname{acos}{\left(\frac{\sqrt{2}}{2} \right)}$$
$$x = \pi n - \pi + \operatorname{acos}{\left(\frac{\sqrt{2}}{2} \right)}$$
O
$$x = \pi n + \frac{\pi}{4}$$
$$x = \pi n - \frac{3 \pi}{4}$$
, donde n es cualquier número entero
Gráfica
Suma y producto de raíces [src]
suma
pi   7*pi
-- + ----
4     4  
$$\frac{\pi}{4} + \frac{7 \pi}{4}$$
=
2*pi
$$2 \pi$$
producto
pi 7*pi
--*----
4   4  
$$\frac{\pi}{4} \frac{7 \pi}{4}$$
=
    2
7*pi 
-----
  16 
$$\frac{7 \pi^{2}}{16}$$
7*pi^2/16
Respuesta rápida [src]
     pi
x1 = --
     4 
$$x_{1} = \frac{\pi}{4}$$
     7*pi
x2 = ----
      4  
$$x_{2} = \frac{7 \pi}{4}$$
x2 = 7*pi/4
Respuesta numérica [src]
x1 = 0.785398163397448
x2 = 49.4800842940392
x3 = -351.072979038659
x4 = 95.0331777710912
x5 = -0.785398163397448
x6 = 74.6128255227576
x7 = 88.7499924639117
x8 = -30.6305283725005
x9 = -93.4623814442964
x10 = -55.7632696012188
x11 = -43.1968989868597
x12 = 43.1968989868597
x13 = -5.49778714378214
x14 = -82.4668071567321
x15 = -88.7499924639117
x16 = -13.3517687777566
x17 = -32.2013246992954
x18 = 7.06858347057703
x19 = -44.7676953136546
x20 = -74.6128255227576
x21 = 99.7455667514759
x22 = 44.7676953136546
x23 = 62.0464549083984
x24 = -49.4800842940392
x25 = 87.1791961371168
x26 = -62.0464549083984
x27 = -57.3340659280137
x28 = -101.316363078271
x29 = -68.329640215578
x30 = -76.1836218495525
x31 = 57.3340659280137
x32 = 80.8960108299372
x33 = 93.4623814442964
x34 = 25.9181393921158
x35 = 38.484510006475
x36 = -162.577419823272
x37 = 30.6305283725005
x38 = -38.484510006475
x39 = -24.3473430653209
x40 = -18.0641577581413
x41 = 19.6349540849362
x42 = -69.9004365423729
x43 = -80.8960108299372
x44 = -63.6172512351933
x45 = 69.9004365423729
x46 = 68.329640215578
x47 = 13.3517687777566
x48 = -99.7455667514759
x49 = -36.9137136796801
x50 = -25.9181393921158
x51 = 32.2013246992954
x52 = -182.997772071605
x53 = 5.49778714378214
x54 = 18.0641577581413
x55 = 76.1836218495525
x56 = -19.6349540849362
x57 = -87.1791961371168
x58 = 82.4668071567321
x59 = -11.7809724509617
x60 = -7.06858347057703
x61 = -51.0508806208341
x62 = 51.0508806208341
x63 = 24.3473430653209
x64 = 63.6172512351933
x65 = 55.7632696012188
x66 = 11.7809724509617
x67 = -95.0331777710912
x68 = 36.9137136796801
x68 = 36.9137136796801
Gráfico
cosx=√2/2 la ecuación