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- La ecuación:
-
Ecuación x^4-x^3+5*x^2=0
-
Ecuación (x-5)/2=2*(3x/7-1/2)/3
-
Ecuación 9-2(-4x+7)=7
-
Ecuación 3*x+5+(x+5)=(1-x)+4
- Expresar {x} en función de y en la ecuación:
- 7*x+13*y=-13
- -14*x-3*y=-5
- -8*x-12*y=15
- 10*x+7*y=9
- Integral de d{x}:
- cos2x
- Derivada de:
-
cos2x
- Gráfico de la función y =:
-
cos2x
-
Expresiones idénticas
- cos2x
- coseno de 2x
-
Expresiones semejantes
- sqrt(3)cos(2x)-2cos(x)+4(cos(x))^3=0
- sqrt(2)*sin(x+pi/4)+cos(2*x)=sin(x)-1
- ((sqrt(cos^2x-cosx))/sinx)-1=0
- cos(2*x)=-(1/2)
- 4sin^3(x)+3sinx+4sqrt(3)=4sqrt(3)*cos^2(x)
cos2x 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:
$$x_{1} = \frac{\pi n}{2} + \frac{\pi}{4}$$
$$x_{2} = \frac{\pi n}{2} - \frac{\pi}{4}$$
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 rápida
[src]
pi
x1 = --
4
$$x_{1} = \frac{\pi}{4}$$
3*pi
x2 = ----
4
$$x_{2} = \frac{3 \pi}{4}$$
x2 = 3*pi/4
Respuesta numérica
[src]
x1 = -79.3252145031423
x2 = -85.6083998103219
x3 = 162.577419823272
x4 = -5.49778714378214
x5 = -55.7632696012188
x6 = 32.2013246992954
x7 = 55.7632696012188
x8 = 84.037603483527
x9 = -32.2013246992954
x10 = 24.3473430653209
x11 = 52.621676947629
x12 = 46.3384916404494
x13 = 384.059701901352
x14 = -25.9181393921158
x15 = -76.1836218495525
x16 = -19.6349540849362
x17 = 68.329640215578
x18 = 63.6172512351933
x19 = 25.9181393921158
x20 = 3.92699081698724
x21 = 96.6039740978861
x22 = -16.4933614313464
x23 = -91.8915851175014
x24 = -13.3517687777566
x25 = 98.174770424681
x26 = -40.0553063332699
x27 = -82.4668071567321
x28 = 87.1791961371168
x29 = 1973.70558461779
x30 = -60.4756585816035
x31 = -71.4712328691678
x32 = 77.7544181763474
x33 = -47.9092879672443
x34 = 44.7676953136546
x35 = -12461.9126586273
x36 = 5.49778714378214
x37 = 33.7721210260903
x38 = 38.484510006475
x39 = -98.174770424681
x40 = -77.7544181763474
x41 = -57.3340659280137
x42 = 22.776546738526
x43 = 8.63937979737193
x44 = -27.4889357189107
x45 = 40.0553063332699
x46 = -69.9004365423729
x47 = 54.1924732744239
x48 = -2.35619449019234
x49 = -54.1924732744239
x50 = 69.9004365423729
x51 = 82.4668071567321
x52 = 90.3207887907066
x53 = -33.7721210260903
x54 = 74.6128255227576
x55 = -46.3384916404494
x56 = 62.0464549083984
x57 = 60.4756585816035
x58 = -68.329640215578
x59 = 27.4889357189107
x60 = 85.6083998103219
x61 = -62.0464549083984
x62 = 88.7499924639117
x63 = -3.92699081698724
x64 = 10.2101761241668
x65 = 99.7455667514759
x66 = 49.4800842940392
x67 = -63.6172512351933
x68 = -90.3207887907066
x69 = -93.4623814442964
x70 = 66.7588438887831
x71 = 19.6349540849362
x72 = 2.35619449019234
x73 = 11.7809724509617
x74 = -10.2101761241668
x75 = 18.0641577581413
x76 = -18.0641577581413
x77 = 16.4933614313464
x78 = -24.3473430653209
x79 = -84.037603483527
x80 = -41.6261026600648
x81 = 30.6305283725005
x82 = -38.484510006475
x83 = 47.9092879672443
x84 = 91.8915851175014
x85 = -35.3429173528852
x86 = -49.4800842940392
x87 = -11.7809724509617
x88 = 76.1836218495525
x89 = 41.6261026600648
x90 = -99.7455667514759
x90 = -99.7455667514759