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cosA=1/2 la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
cos(a) = 1/2
$$\cos{\left(a \right)} = \frac{1}{2}$$
Solución detallada
Tenemos la ecuación
$$\cos{\left(a \right)} = \frac{1}{2}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$a = \pi n + \operatorname{acos}{\left(\frac{1}{2} \right)}$$
$$a = \pi n - \pi + \operatorname{acos}{\left(\frac{1}{2} \right)}$$
O
$$a = \pi n + \frac{\pi}{3}$$
$$a = \pi n - \frac{2 \pi}{3}$$
, donde n es cualquier número entero
Gráfica
Respuesta rápida [src]
     pi
a1 = --
     3 
$$a_{1} = \frac{\pi}{3}$$
     5*pi
a2 = ----
      3  
$$a_{2} = \frac{5 \pi}{3}$$
a2 = 5*pi/3
Suma y producto de raíces [src]
suma
pi   5*pi
-- + ----
3     3  
$$\frac{\pi}{3} + \frac{5 \pi}{3}$$
=
2*pi
$$2 \pi$$
producto
pi 5*pi
--*----
3   3  
$$\frac{\pi}{3} \frac{5 \pi}{3}$$
=
    2
5*pi 
-----
  9  
$$\frac{5 \pi^{2}}{9}$$
5*pi^2/9
Respuesta numérica [src]
a1 = -225.147473507269
a2 = 36.6519142918809
a3 = -24.0855436775217
a4 = 11.5191730631626
a5 = -32.4631240870945
a6 = 32.4631240870945
a7 = 26.1799387799149
a8 = 49.2182849062401
a9 = -7.33038285837618
a10 = 99.4837673636768
a11 = 17.8023583703422
a12 = -95.2949771588904
a13 = -42.9350995990605
a14 = -68.0678408277789
a15 = 19.8967534727354
a16 = 45.0294947014537
a17 = -26.1799387799149
a18 = -86.9173967493176
a19 = 80.634211442138
a20 = 57.5958653158129
a21 = 7.33038285837618
a22 = 24.0855436775217
a23 = 95.2949771588904
a24 = -19.8967534727354
a25 = -13.6135681655558
a26 = -30.3687289847013
a27 = 38.7463093942741
a28 = 82.7286065445312
a29 = 5.23598775598299
a30 = -45.0294947014537
a31 = 1.0471975511966
a32 = -1.0471975511966
a33 = -93.2005820564972
a34 = -5.23598775598299
a35 = -11.5191730631626
a36 = -74.3510261349584
a37 = -57.5958653158129
a38 = 42.9350995990605
a39 = 86.9173967493176
a40 = 76.4454212373516
a41 = -80.634211442138
a42 = 55.5014702134197
a43 = -89.0117918517108
a44 = -38.7463093942741
a45 = -17.8023583703422
a46 = 89.0117918517108
a47 = -51.3126800086333
a48 = -55.5014702134197
a49 = 63.8790506229925
a50 = 68.0678408277789
a51 = -76.4454212373516
a52 = 51.3126800086333
a53 = -99.4837673636768
a54 = -49.2182849062401
a55 = -36.6519142918809
a56 = -63.8790506229925
a57 = -359.188760060433
a58 = 61.7846555205993
a59 = 13.6135681655558
a60 = 1651.43053823704
a61 = 74.3510261349584
a62 = -70.162235930172
a63 = 93.2005820564972
a64 = 70.162235930172
a65 = -82.7286065445312
a66 = -61.7846555205993
a67 = 30.3687289847013
a67 = 30.3687289847013