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- La ecuación:
-
Ecuación 3-x/7=x/3
-
Ecuación 11x-9=4x+19
-
Ecuación (x-7)^2=(9-x)^2
-
Ecuación 5-2*x=11-7*(x+2)
- Expresar {x} en función de y en la ecuación:
- 10*x+5*y=-17
- -6*x-2*y=-10
- 17*x-11*y=2
- -14*x-3*y=-5
-
Expresiones idénticas
- dos sin^2(x)+2sin(x)cos(2x)- uno = cero
- 2 seno de al cuadrado (x) más 2 seno de (x) coseno de (2x) menos 1 es igual a 0
- dos seno de al cuadrado (x) más 2 seno de (x) coseno de (2x) menos uno es igual a cero
- 2sin2(x)+2sin(x)cos(2x)-1=0
- 2sin2x+2sinxcos2x-1=0
- 2sin²(x)+2sin(x)cos(2x)-1=0
- 2sin en el grado 2(x)+2sin(x)cos(2x)-1=0
- 2sin^2x+2sinxcos2x-1=0
- 2sin^2(x)+2sin(x)cos(2x)-1=O
-
Expresiones semejantes
- 2sin^2(x)-2sin(x)cos(2x)-1=0
- 2sin^2(x)+2sin(x)cos(2x)+1=0
- 2sin^2(x)+2sinxcos(2x)-1=0
-
Expresiones con funciones
- Coseno cos
- cos(x)=-1/3
- cos(x)=-3/4
- cos(x)=-sin(x)
- cos(x/2)=1/2
- cos(x)=-√3/2
2sin^2(x)+2sin(x)cos(2x)-1=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
2 2*sin (x) + 2*sin(x)*cos(2*x) - 1 = 0
$$\left(2 \sin^{2}{\left(x \right)} + 2 \sin{\left(x \right)} \cos{\left(2 x \right)}\right) - 1 = 0$$
Respuesta rápida
[src]
-3*pi
x1 = -----
4
$$x_{1} = - \frac{3 \pi}{4}$$
-pi
x2 = ----
4
$$x_{2} = - \frac{\pi}{4}$$
pi
x3 = --
6
$$x_{3} = \frac{\pi}{6}$$
pi
x4 = --
4
$$x_{4} = \frac{\pi}{4}$$
3*pi
x5 = ----
4
$$x_{5} = \frac{3 \pi}{4}$$
5*pi
x6 = ----
6
$$x_{6} = \frac{5 \pi}{6}$$
x6 = 5*pi/6
Suma y producto de raíces
[src]
suma
3*pi pi pi pi 3*pi 5*pi - ---- - -- + -- + -- + ---- + ---- 4 4 6 4 4 6
$$\left(\left(\left(\left(- \frac{3 \pi}{4} - \frac{\pi}{4}\right) + \frac{\pi}{6}\right) + \frac{\pi}{4}\right) + \frac{3 \pi}{4}\right) + \frac{5 \pi}{6}$$
=
pi
$$\pi$$
producto
-3*pi -pi pi pi 3*pi 5*pi -----*----*--*--*----*---- 4 4 6 4 4 6
$$\frac{5 \pi}{6} \frac{3 \pi}{4} \frac{\pi}{4} \frac{\pi}{6} \cdot - \frac{3 \pi}{4} \left(- \frac{\pi}{4}\right)$$
=
6 5*pi ----- 1024
$$\frac{5 \pi^{6}}{1024}$$
5*pi^6/1024
Respuesta numérica
[src]
x1 = 10.2101761241668
x2 = -74.8746249105567
x3 = 96.6039740978861
x4 = 68.329640215578
x5 = -53.9306738866248
x6 = -91.8915851175014
x7 = 95.0331777710912
x8 = 3.92699081698724
x9 = 99.7455667514759
x10 = -11.7809724509617
x11 = -24.3473430653209
x12 = -22.776546738526
x13 = 63.6172512351933
x14 = 69.9004365423729
x15 = 0.523598775598299
x16 = 98.174770424681
x17 = -76.1836218495525
x18 = -25.9181393921158
x19 = -87.4409955249159
x20 = 41.6261026600648
x21 = 84.2994028713261
x22 = 21.2057504117311
x23 = -16.2315620435473
x24 = 38.2227106186758
x25 = -18.3259571459405
x26 = -33.7721210260903
x27 = 40.317105721069
x28 = -57.3340659280137
x29 = -46.3384916404494
x30 = 51.0508806208341
x31 = 27.7507351067098
x32 = -18.0641577581413
x33 = 7.06858347057703
x34 = -66.7588438887831
x35 = -69.9004365423729
x36 = 2.35619449019234
x37 = -19.6349540849362
x38 = 24.3473430653209
x39 = -43.4586983746588
x40 = -68.329640215578
x41 = 44.5058959258554
x42 = 60.4756585816035
x43 = 88.4881930761125
x44 = -85.6083998103219
x45 = -77.7544181763474
x46 = 78.0162175641465
x47 = 94.7713783832921
x48 = -90.3207887907066
x49 = 90.3207887907066
x50 = -139.015474921348
x51 = 74.6128255227576
x52 = -5.75958653158129
x53 = 30.6305283725005
x54 = 8.63937979737193
x55 = -62.0464549083984
x56 = 19.6349540849362
x57 = 82.2050077689329
x58 = -63.6172512351933
x59 = 54.1924732744239
x60 = -99.7455667514759
x61 = -71.4712328691678
x62 = -35.3429173528852
x63 = -60.2138591938044
x64 = 46.3384916404494
x65 = -93.7241808320955
x66 = -32.2013246992954
x67 = 11.7809724509617
x68 = 0.785398163397448
x69 = -41.6261026600648
x70 = -27.4889357189107
x71 = 85.6083998103219
x72 = -49.7418836818384
x73 = 47.9092879672443
x74 = 18.0641577581413
x75 = 34.0339204138894
x76 = -55.7632696012188
x77 = -47.9092879672443
x78 = 52.621676947629
x79 = -97.9129710368819
x80 = 55.7632696012188
x81 = 62.0464549083984
x82 = -3.66519142918809
x83 = 32.2013246992954
x84 = -84.037603483527
x85 = -79.3252145031423
x86 = 65.1880475619882
x87 = -13.3517687777566
x88 = 76.1836218495525
x89 = 71.733032256967
x90 = -2.35619449019234
x91 = 25.9181393921158
x92 = -40.0553063332699
x93 = -9.94837673636768
x94 = 16.4933614313464
x95 = -1105.31701528801
x96 = 91.8915851175014
x96 = 91.8915851175014