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- La ecuación:
-
Ecuación x^4+2*x^2-8=0
-
Ecuación x*(x^2+8*x+16)=5*(x+4)
-
Ecuación -25-x=-17
-
Ecuación x^2+3x=4
- Expresar {x} en función de y en la ecuación:
- -18*x-2*y=9
- -14*x+10*y=19
- -9*x+1*y=3
- -17*x+1*y=-11
- Derivada de:
-
sin(2*x)+cos(2*x)
-
-cos(2x)
- Gráfico de la función y =:
-
sin(2*x)+cos(2*x)
- Integral de d{x}:
- -cos(2x)
-
Expresiones idénticas
- sin(dos *x)+cos(dos *x)=-cos(2x)
- seno de (2 multiplicar por x) más coseno de (2 multiplicar por x) es igual a menos coseno de (2x)
- seno de (dos multiplicar por x) más coseno de (dos multiplicar por x) es igual a menos coseno de (2x)
- sin(2x)+cos(2x)=-cos(2x)
- sin2x+cos2x=-cos2x
-
Expresiones semejantes
- sin(2*x)+cos(2*x)=+cos(2x)
- sin(2*x)-cos(2*x)=-cos(2x)
- sin^2(x)-cos^2(x)=1
- -j^3*sin(2*x)-sin(x)+sin(22*x)-cos(2*x)+2=o
- -sin^2x-cos^2x-2sinx=0
- 3sin^2(x)+cos^2(x)-2=0
- 3sin2x+cos2x=2
- sinxcos4x+cosx=cos4xsin2x+cos2x
- 3sin(2x)+cos(2x)=2
- sin2x-cos2x=-0,5
-
Expresiones con funciones
- Seno sin
- sin(x)=1,5
- sin(x-1)=0
- sin2x=1
- sin(3*x)=-1/2
- sin(3*x)=-1
- Coseno cos
- cos(x)=sqrt(3)
- cos2x=1/2
- cos(2*x)+3*sin(x)-2=0
- cos(2*x)+sqrt(2)*sin(x)+1=0
- cos(pi+x)=1/2
- Coseno cos
- cos(x)=sqrt(3)
- cos2x=1/2
- cos(2*x)+3*sin(x)-2=0
- cos(2*x)+sqrt(2)*sin(x)+1=0
- cos(pi+x)=1/2
sin(2*x)+cos(2*x)=-cos(2x) la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
sin(2*x) + cos(2*x) = -cos(2*x)
$$\sin{\left(2 x \right)} + \cos{\left(2 x \right)} = - \cos{\left(2 x \right)}$$
Solución detallada
Tenemos la ecuación
$$\sin{\left(2 x \right)} + \cos{\left(2 x \right)} = - \cos{\left(2 x \right)}$$
cambiamos:
$$\frac{\sin{\left(2 x \right)}}{\cos{\left(2 x \right)}} = -2$$
o
$$\tan{\left(2 x \right)} = -2$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$2 x = \pi n + \operatorname{atan}{\left(2 \right)}$$
O
$$2 x = \pi n + \operatorname{atan}{\left(2 \right)}$$
, donde n es cualquier número entero
Dividamos ambos miembros de la ecuación obtenida en
$$2$$
obtenemos la respuesta:
$$x_{1} = \frac{\pi n}{2} + \frac{\operatorname{atan}{\left(2 \right)}}{2}$$
$$\sin{\left(2 x \right)} + \cos{\left(2 x \right)} = - \cos{\left(2 x \right)}$$
cambiamos:
$$\frac{\sin{\left(2 x \right)}}{\cos{\left(2 x \right)}} = -2$$
o
$$\tan{\left(2 x \right)} = -2$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$2 x = \pi n + \operatorname{atan}{\left(2 \right)}$$
O
$$2 x = \pi n + \operatorname{atan}{\left(2 \right)}$$
, donde n es cualquier número entero
Dividamos ambos miembros de la ecuación obtenida en
$$2$$
obtenemos la respuesta:
$$x_{1} = \frac{\pi n}{2} + \frac{\operatorname{atan}{\left(2 \right)}}{2}$$
Respuesta rápida
[src]
-atan(2)
x1 = ---------
2
$$x_{1} = - \frac{\operatorname{atan}{\left(2 \right)}}{2}$$
x1 = -atan(2)/2
Suma y producto de raíces
[src]
suma
-atan(2)
---------
2
$$- \frac{\operatorname{atan}{\left(2 \right)}}{2}$$
=
-atan(2)
---------
2
$$- \frac{\operatorname{atan}{\left(2 \right)}}{2}$$
producto
-atan(2)
---------
2
$$- \frac{\operatorname{atan}{\left(2 \right)}}{2}$$
=
-atan(2)
---------
2
$$- \frac{\operatorname{atan}{\left(2 \right)}}{2}$$
-atan(2)/2
Respuesta numérica
[src]
x1 = 98.4065942291814
x2 = -3.69516701248684
x3 = -31.969500894795
x4 = -11.5491486464613
x5 = -71.2394090646674
x6 = 90.552612595207
x7 = -82.2349833522317
x8 = -52.3898531431286
x9 = -91.6597613130011
x10 = 46.5703154449499
x11 = -41.3942788555644
x12 = 70.1322603468733
x13 = 62.2782787128988
x14 = -19.4031302804358
x15 = -49.2482604895388
x16 = 85.8402236148223
x17 = -99.5137429469755
x18 = 93.6942052487967
x19 = -25.6863155876154
x20 = -97.9429466201806
x21 = -55.5314457967184
x22 = -39.8234825287695
x23 = 16.7251852358468
x24 = 18.2959815626417
x25 = 49.7119080985396
x26 = 84.2694272880274
x27 = 4.15881462148764
x28 = -46.106667835949
x29 = -24.1155192608205
x30 = 40.2871301377703
x31 = 57.5658897325141
x32 = -68.0978164110776
x33 = 82.6986309612325
x34 = 76.4154456540529
x35 = 55.9950934057192
x36 = -38.2526862019746
x37 = 13.583592582257
x38 = -96.3721502933857
x39 = -3740.61962845755
x40 = -69.6686127378725
x41 = 48.1411117717447
x42 = -9.97835231966642
x43 = 71.7030566736682
x44 = -63.3854274306929
x45 = -27.2571119144103
x46 = 24.5791668698213
x47 = 32.4331485037958
x48 = -83.8057796790266
x49 = 27.7207595234111
x50 = -53.9606494699235
x51 = 68.5614640200784
x52 = -85.3765760058215
x53 = -2.12437068569194
x54 = -61.814631103898
x55 = -75.9517980450521
x56 = -90.0889649862062
x57 = 26.1499631966162
x58 = -42.9650751823593
x59 = 99.9773905559763
x60 = 38.7163338109754
x61 = -5.26596333928174
x62 = 34.0039448305907
x63 = -88.5181686594113
x64 = 2.58801829469275
x65 = 12.0127962554621
x66 = 5.72961094828254
x67 = 19.8667778894366
x68 = 41.8579264645652
x69 = -33.5402972215899
x70 = 92.1234089220019
x71 = -74.3810017182572
x72 = 54.4242970789243
x73 = -30.3987045680001
x74 = 79.5570383076427
x75 = -77.522594371847
x76 = 77.9862419808478
x77 = -8.40755599287153
x78 = 60.7074823861039
x79 = -16.261537626846
x80 = -47.6774641627439
x81 = 35.5747411573856
x82 = -17.8323339536409
x83 = -60.2438347771031
x84 = 63.8490750396937
x85 = 10.4419999286672
x86 = -93.2305576397959
x86 = -93.2305576397959