Sr Examen
Otras calculadoras
-
¿Cómo usar?
- La ecuación:
-
Ecuación x-x/7=15/7
-
Ecuación (x-7)^2=(9-x)^2
-
Ecuación 1-2*(5-2*x)=-x-3
-
Ecuación x^3+4*x^2-x-4=0
- Expresar {x} en función de y en la ecuación:
- -16*x-7*y=-5
- 17*x-11*y=2
- 7*x+19*y=12
- -5*x+5*y=-9
-
Expresiones idénticas
- cos(cuatro *x)-sin(dos *x)= cero
- coseno de (4 multiplicar por x) menos seno de (2 multiplicar por x) es igual a 0
- coseno de (cuatro multiplicar por x) menos seno de (dos multiplicar por x) es igual a cero
- cos(4x)-sin(2x)=0
- cos4x-sin2x=0
- cos(4*x)-sin(2*x)=O
-
Expresiones semejantes
- cos(4*x)+sin(2*x)=0
-
Expresiones con funciones
- Coseno cos
- cos(x)=-sin(x)
- cos(x)=pi/2
- cos(2*x)-1=0
- cos(x)^(2)+3*sin(x)-3=0
- cos(x)=1/8
- Seno sin
- sin(x)+cos(x)=-1
- sin(x/2)=1
- sin(x)=3
- sin(x)=pi/3
- sinx-1=0
cos(4*x)-sin(2*x)=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
cos(4*x) - sin(2*x) = 0
$$- \sin{\left(2 x \right)} + \cos{\left(4 x \right)} = 0$$
Respuesta rápida
[src]
-11*pi
x1 = ------
12
$$x_{1} = - \frac{11 \pi}{12}$$
-7*pi
x2 = -----
12
$$x_{2} = - \frac{7 \pi}{12}$$
-pi
x3 = ----
4
$$x_{3} = - \frac{\pi}{4}$$
pi
x4 = --
12
$$x_{4} = \frac{\pi}{12}$$
5*pi
x5 = ----
12
$$x_{5} = \frac{5 \pi}{12}$$
3*pi
x6 = ----
4
$$x_{6} = \frac{3 \pi}{4}$$
x6 = 3*pi/4
Suma y producto de raíces
[src]
suma
11*pi 7*pi pi pi 5*pi 3*pi
- ----- - ---- - -- + -- + ---- + ----
12 12 4 12 12 4
$$\left(\left(\left(\left(- \frac{11 \pi}{12} - \frac{7 \pi}{12}\right) - \frac{\pi}{4}\right) + \frac{\pi}{12}\right) + \frac{5 \pi}{12}\right) + \frac{3 \pi}{4}$$
=
-pi ---- 2
$$- \frac{\pi}{2}$$
producto
-11*pi -7*pi -pi pi 5*pi 3*pi ------*-----*----*--*----*---- 12 12 4 12 12 4
$$\frac{3 \pi}{4} \frac{5 \pi}{12} \frac{\pi}{12} \cdot - \frac{\pi}{4} \cdot - \frac{11 \pi}{12} \left(- \frac{7 \pi}{12}\right)$$
=
6 -385*pi -------- 110592
$$- \frac{385 \pi^{6}}{110592}$$
-385*pi^6/110592
Respuesta numérica
[src]
x1 = 55.7632697084684
x2 = 11.7809725575561
x3 = 74.6128254494431
x4 = -81.4196096055355
x5 = -57.3340657552463
x6 = -78.2780169519457
x7 = 2.35619442805093
x8 = -87.7027949127151
x9 = -79.3252142621771
x10 = -30.1069295969022
x11 = 79.8488132787406
x12 = -21.7293491873294
x13 = -54.192473171035
x14 = 33.7721211331708
x15 = 24.3473430211116
x16 = 37.9609112308767
x17 = -8.11578102177363
x18 = -45.8148928648512
x19 = 40.0553066510342
x20 = -76.1836217477766
x21 = 4.45058959258554
x22 = -1.83259571459405
x23 = 66.2352451131848
x24 = 52.6216770943011
x25 = -65.7116463375865
x26 = 96.6039744565664
x27 = 81.9432083811338
x28 = 40.0553062088733
x29 = 90.3207887461398
x30 = -85.6083998872429
x31 = -100.269165527074
x32 = 8.63937935321672
x33 = -39.5317075576716
x34 = -89.7971900151083
x35 = -83.5140047079287
x36 = -56.2868683768171
x37 = -98.1747703247772
x38 = -13.3517687122218
x39 = -43.720497762458
x40 = -23.8237442897226
x41 = 26.4417381677141
x42 = 44.2440965380563
x43 = 20.1585528605345
x44 = 70.4240353179712
x45 = 88.2263936883134
x46 = -50.0036830696375
x47 = -16.493361661446
x48 = 52.6216769255375
x49 = -63.6172513086866
x50 = 96.6039740443119
x51 = -10.2101760183585
x52 = 35.8665161284835
x53 = 0.261799387799149
x54 = 30.6305286592118
x55 = 68.3296401663545
x56 = 99.7455668580236
x57 = -74.0892267471593
x58 = -71.9948316447661
x59 = 64.1408500107916
x60 = 8.63937982613242
x61 = 59.9520598060052
x62 = 15.9697626557481
x63 = 62.0464548182247
x64 = 77.754418283428
x65 = -61.5228561328001
x66 = 42.1497014356631
x67 = 57.857664703612
x68 = -6.02138591938044
x69 = -28.012534494509
x70 = -67.8060414399797
x71 = 24.3473430073119
x72 = -17.540558982543
x73 = -93.9859802198946
x74 = 48.4328867428426
x75 = -88.7499925549841
x76 = -96.0803753222878
x77 = 74.6128254831053
x78 = 84.0376034189652
x79 = 86.1319985859202
x80 = 30.6305283727134
x81 = -91.8915847054486
x82 = -52.0980781720307
x83 = -3.92699104405819
x84 = 13.8753675533549
x85 = -32.2013245945593
x86 = 22.2529479629277
x87 = -34.2957198016886
x88 = 92.4151838930998
x89 = -41.6261027299501
x90 = -35.3429172399617
x91 = 18.0641575860634
x92 = -19.6349541510368
x93 = 46.3384915867461
x93 = 46.3384915867461
Gráfico