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- La ecuación:
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Ecuación x^2-11*x+30=0
- Ecuación x^2+y^2=9
-
Ecuación -33-y=-19
-
Ecuación 11/(x-9)=-10
- Expresar {x} en función de y en la ecuación:
- -18*x-2*y=9
- -4*x+6*y=-7
- 4*x+2*y=5
- -9*x+1*y=3
-
Expresiones idénticas
- sin(tres *x)-cos(tres *x)= cero
- seno de (3 multiplicar por x) menos coseno de (3 multiplicar por x) es igual a 0
- seno de (tres multiplicar por x) menos coseno de (tres multiplicar por x) es igual a cero
- sin(3x)-cos(3x)=0
- sin3x-cos3x=0
- sin(3*x)-cos(3*x)=O
-
Expresiones semejantes
- 3cosx+3sinx+sin3x-cos3x=0
- sin3x-cos3x=√2sinx
- sin(3*x)+cos(3*x)=0
-
Expresiones con funciones
- Seno sin
- sin(x)^3+cos(x)^3=1
- sin(pi*x/3)=1/2
- sin(x)=sqrt2/2
- sin(x)=-5/2
- sin(x)^(2)-sin(x)=0
- Coseno cos
- cos(x)=(-1)/sqrt(2)
- cos(2*x)+3*sin(x)-2=0
- cos(-x)=-1
- cos(2x)=1/2
- cos(4*x)=1
sin(3*x)-cos(3*x)=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
sin(3*x) - cos(3*x) = 0
$$\sin{\left(3 x \right)} - \cos{\left(3 x \right)} = 0$$
Solución detallada
Tenemos la ecuación
$$\sin{\left(3 x \right)} - \cos{\left(3 x \right)} = 0$$
cambiamos:
$$\frac{\sin{\left(3 x \right)}}{\cos{\left(3 x \right)}} = 1$$
o
$$\tan{\left(3 x \right)} = 1$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$3 x = \pi n + \operatorname{atan}{\left(-1 \right)}$$
O
$$3 x = \pi n - \frac{\pi}{4}$$
, donde n es cualquier número entero
Dividamos ambos miembros de la ecuación obtenida en
$$3$$
obtenemos la respuesta:
$$x_{1} = \frac{\pi n}{3} - \frac{\pi}{12}$$
$$\sin{\left(3 x \right)} - \cos{\left(3 x \right)} = 0$$
cambiamos:
$$\frac{\sin{\left(3 x \right)}}{\cos{\left(3 x \right)}} = 1$$
o
$$\tan{\left(3 x \right)} = 1$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$3 x = \pi n + \operatorname{atan}{\left(-1 \right)}$$
O
$$3 x = \pi n - \frac{\pi}{4}$$
, donde n es cualquier número entero
Dividamos ambos miembros de la ecuación obtenida en
$$3$$
obtenemos la respuesta:
$$x_{1} = \frac{\pi n}{3} - \frac{\pi}{12}$$
Suma y producto de raíces
[src]
suma
pi -- 12
$$\frac{\pi}{12}$$
=
pi -- 12
$$\frac{\pi}{12}$$
producto
pi -- 12
$$\frac{\pi}{12}$$
=
pi -- 12
$$\frac{\pi}{12}$$
pi/12
Respuesta numérica
[src]
x1 = 40.0553063332699
x2 = -3.92699081698724
x3 = 6.54498469497874
x4 = -78.2780169519457
x5 = -87.7027949127151
x6 = 99.7455667514759
x7 = -54.1924732744239
x8 = -30.1069295969022
x9 = 79.8488132787406
x10 = -21.7293491873294
x11 = -91.8915851175014
x12 = 10.7337748997651
x13 = 52.621676947629
x14 = 18.0641577581413
x15 = 72.5184304203644
x16 = 37.9609112308767
x17 = -8.11578102177363
x18 = -45.8148928648512
x19 = 62.0464549083984
x20 = 4.45058959258554
x21 = -1.83259571459405
x22 = 66.2352451131848
x23 = 49.4800842940392
x24 = 2.35619449019234
x25 = -58.3812634792103
x26 = -65.7116463375865
x27 = 101.839961853869
x28 = 81.9432083811338
x29 = -32.2013246992954
x30 = 50.5272818452358
x31 = -1053.21893711598
x32 = -100.269165527074
x33 = 77.7544181763474
x34 = -76.1836218495525
x35 = -39.5317075576716
x36 = -89.7971900151083
x37 = -47.9092879672443
x38 = -83.5140047079287
x39 = -41.6261026600648
x40 = -69.9004365423729
x41 = -56.2868683768171
x42 = 68.329640215578
x43 = -25.9181393921158
x44 = -43.720497762458
x45 = -23.8237442897226
x46 = -10.2101761241668
x47 = 26.4417381677141
x48 = 24.3473430653209
x49 = 44.2440965380563
x50 = 55.7632696012188
x51 = 20.1585528605345
x52 = 70.4240353179712
x53 = 88.2263936883134
x54 = -50.0036830696375
x55 = -15.4461638801498
x56 = 35.8665161284835
x57 = 0.261799387799149
x58 = 64.1408500107916
x59 = 71.4712328691678
x60 = -74.0892267471593
x61 = -71.9948316447661
x62 = 59.9520598060052
x63 = 15.9697626557481
x64 = -85.6083998103219
x65 = -98.174770424681
x66 = -61.5228561328001
x67 = 42.1497014356631
x68 = 57.857664703612
x69 = 215.984494934298
x70 = -6.02138591938044
x71 = -28.012534494509
x72 = -67.8060414399797
x73 = -63.6172512351933
x74 = -17.540558982543
x75 = -93.9859802198946
x76 = 46.3384916404494
x77 = -80.3724120543389
x78 = 48.4328867428426
x79 = -19.6349540849362
x80 = -12.30457122656
x81 = -96.0803753222878
x82 = 28.5361332701073
x83 = 86.1319985859202
x84 = -52.0980781720307
x85 = 33.7721210260903
x86 = 94.5095789954929
x87 = 13.8753675533549
x88 = 30.6305283725005
x89 = 84.037603483527
x90 = 22.2529479629277
x91 = -34.2957198016886
x92 = 75.6600230739542
x93 = 90.3207887907066
x94 = 92.4151838930998
x95 = 2287.34125120117
x96 = 11.7809724509617
x96 = 11.7809724509617
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