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- La ecuación:
-
Ecuación x^2=8
-
Ecuación x^2-3x=0
-
Ecuación x^2+8*x+15=0
-
Ecuación 5x^2-x-6=0
- Expresar {x} en función de y en la ecuación:
- -5*x+2*y=-14
- 10*x-1*y=10
- 4*x+3*y=-15
- 1*x-5*y=-17
- Integral de d{x}:
- cos2x
- Derivada de:
-
cos2x
- Gráfico de la función y =:
-
cos2x
-
Expresiones idénticas
- cos2x= cero
- coseno de 2x es igual a 0
- coseno de 2x es igual a cero
- cos2x=O
-
Expresiones semejantes
- cos(2*x+pi/4)=0
cos2x=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Solución detallada
Tenemos la ecuación
$$\cos{\left(2 x \right)} = 0$$
es la ecuación trigonométrica más simple
Obtenemos:
$$\cos{\left(2 x \right)} = 0$$
Esta ecuación se reorganiza en
$$2 x = \pi n + \operatorname{acos}{\left(0 \right)}$$
$$2 x = \pi n - \pi + \operatorname{acos}{\left(0 \right)}$$
O
$$2 x = \pi n + \frac{\pi}{2}$$
$$2 x = \pi n - \frac{\pi}{2}$$
, donde n es cualquier número entero
Dividamos ambos miembros de la ecuación obtenida en
$$2$$
obtenemos la respuesta:
$$x_{1} = \frac{\pi n}{2} + \frac{\pi}{4}$$
$$x_{2} = \frac{\pi n}{2} - \frac{\pi}{4}$$
$$\cos{\left(2 x \right)} = 0$$
es la ecuación trigonométrica más simple
cambiando el signo de 0
Obtenemos:
$$\cos{\left(2 x \right)} = 0$$
Esta ecuación se reorganiza en
$$2 x = \pi n + \operatorname{acos}{\left(0 \right)}$$
$$2 x = \pi n - \pi + \operatorname{acos}{\left(0 \right)}$$
O
$$2 x = \pi n + \frac{\pi}{2}$$
$$2 x = \pi n - \frac{\pi}{2}$$
, donde n es cualquier número entero
Dividamos ambos miembros de la ecuación obtenida en
$$2$$
obtenemos la respuesta:
$$x_{1} = \frac{\pi n}{2} + \frac{\pi}{4}$$
$$x_{2} = \frac{\pi n}{2} - \frac{\pi}{4}$$
Respuesta rápida
[src]
pi
x1 = --
4
$$x_{1} = \frac{\pi}{4}$$
3*pi
x2 = ----
4
$$x_{2} = \frac{3 \pi}{4}$$
x2 = 3*pi/4
Suma y producto de raíces
[src]
suma
pi 3*pi -- + ---- 4 4
$$\frac{\pi}{4} + \frac{3 \pi}{4}$$
=
pi
$$\pi$$
producto
pi 3*pi --*---- 4 4
$$\frac{\pi}{4} \frac{3 \pi}{4}$$
=
2 3*pi ----- 16
$$\frac{3 \pi^{2}}{16}$$
3*pi^2/16
Respuesta numérica
[src]
x1 = 40.0553063332699
x2 = -3.92699081698724
x3 = -71.4712328691678
x4 = -13.3517687777566
x5 = 8.63937979737193
x6 = 99.7455667514759
x7 = -54.1924732744239
x8 = -62.0464549083984
x9 = 25.9181393921158
x10 = 38.484510006475
x11 = -91.8915851175014
x12 = 52.621676947629
x13 = 41.6261026600648
x14 = 18.0641577581413
x15 = -40.0553063332699
x16 = 63.6172512351933
x17 = -33.7721210260903
x18 = 62.0464549083984
x19 = 49.4800842940392
x20 = 2.35619449019234
x21 = 85.6083998103219
x22 = -55.7632696012188
x23 = 1973.70558461779
x24 = -32.2013246992954
x25 = 22.776546738526
x26 = -49.4800842940392
x27 = 77.7544181763474
x28 = -57.3340659280137
x29 = -76.1836218495525
x30 = -47.9092879672443
x31 = -41.6261026600648
x32 = -84.037603483527
x33 = -24.3473430653209
x34 = 98.174770424681
x35 = 19.6349540849362
x36 = -69.9004365423729
x37 = 68.329640215578
x38 = -25.9181393921158
x39 = -35.3429173528852
x40 = 76.1836218495525
x41 = 54.1924732744239
x42 = -10.2101761241668
x43 = 82.4668071567321
x44 = 24.3473430653209
x45 = -90.3207887907066
x46 = 55.7632696012188
x47 = 47.9092879672443
x48 = 384.059701901352
x49 = 74.6128255227576
x50 = 88.7499924639117
x51 = -93.4623814442964
x52 = 66.7588438887831
x53 = -5.49778714378214
x54 = -85.6083998103219
x55 = 44.7676953136546
x56 = -98.174770424681
x57 = -38.484510006475
x58 = -60.4756585816035
x59 = -63.6172512351933
x60 = 69.9004365423729
x61 = 10.2101761241668
x62 = -77.7544181763474
x63 = 32.2013246992954
x64 = 46.3384916404494
x65 = 5.49778714378214
x66 = -19.6349540849362
x67 = -2.35619449019234
x68 = -11.7809724509617
x69 = 16.4933614313464
x70 = 27.4889357189107
x71 = -16.4933614313464
x72 = -82.4668071567321
x73 = 33.7721210260903
x74 = -46.3384916404494
x75 = 87.1791961371168
x76 = -79.3252145031423
x77 = -27.4889357189107
x78 = -68.329640215578
x79 = 30.6305283725005
x80 = 84.037603483527
x81 = 96.6039740978861
x82 = -18.0641577581413
x83 = 91.8915851175014
x84 = -99.7455667514759
x85 = 60.4756585816035
x86 = 162.577419823272
x87 = 90.3207887907066
x88 = 3.92699081698724
x89 = -12461.9126586273
x90 = 11.7809724509617
x90 = 11.7809724509617
Gráfico