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- La ecuación:
-
Ecuación 1/(x-3)^2-3/(x-3)-4=0
-
Ecuación 9*(x-5)=-x
-
Ecuación 13x+10=6x-4
- Ecuación x-y=1
- Expresar {x} en función de y en la ecuación:
- 7*x-6*y=-2
- 13*x-15*y=-6
- 4*x-7*y=4
- -4*x+6*y=-7
- Integral de d{x}:
- 4*sin(3*x)
- Gráfico de la función y =:
-
4*sin(3*x)
- Límite de la función:
- 4*sin(3*x)
-
Expresiones idénticas
- sec(tres *x)- seis *cos(tres *x)= cuatro *sin(tres *x)
- sec(3 multiplicar por x) menos 6 multiplicar por coseno de (3 multiplicar por x) es igual a 4 multiplicar por seno de (3 multiplicar por x)
- sec(tres multiplicar por x) menos seis multiplicar por coseno de (tres multiplicar por x) es igual a cuatro multiplicar por seno de (tres multiplicar por x)
- sec(3x)-6cos(3x)=4sin(3x)
- sec3x-6cos3x=4sin3x
-
Expresiones semejantes
- sec(3*x)+6*cos(3*x)=4*sin(3*x)
- 4sin^3x+4*3^0.5*cos(x)+3sin(x)=4*3^0.5
- 4sin^3x-3sin^2+2sqrt3=2sqrt3cos2x
- 4sin^3x+2sqrt(3)cos2x+sinx=2sqrt(3)
- 4*sin^3(x)+3*sin(x)+(3^(1/2))*2=2*(3^(1/2))*cos(2x)
-
Expresiones con funciones
- sec
- sec^2y/cos^2(2x)=2
- sec(x)=5/2
- Coseno cos
- cos(x)=(-1/2)
- cos((pi*(x-7))/3)=1/2
- cos(x)/5=-1
- cos(x)=(-1)/sqrt(2)
- cos(a-b)+sin(-a)sinb
- Seno sin
- sin(x)=-√2/2
- sin(4*x)=1
- sin(-x)=1
- sin(x/2)=-1/2
- sin(x)=sqrt2/2
sec(3*x)-6*cos(3*x)=4*sin(3*x) la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
sec(3*x) - 6*cos(3*x) = 4*sin(3*x)
$$- 6 \cos{\left(3 x \right)} + \sec{\left(3 x \right)} = 4 \sin{\left(3 x \right)}$$
Suma y producto de raíces
[src]
suma
/ ____\ / ____\
|1 \/ 26 | |1 \/ 26 |
2*atan|- - ------| 2*atan|- + ------|
pi pi \5 5 / \5 5 /
- -- + -- - ------------------ - ------------------
12 4 3 3
$$- \frac{2 \operatorname{atan}{\left(\frac{1}{5} + \frac{\sqrt{26}}{5} \right)}}{3} + \left(- \frac{2 \operatorname{atan}{\left(\frac{1}{5} - \frac{\sqrt{26}}{5} \right)}}{3} + \left(- \frac{\pi}{12} + \frac{\pi}{4}\right)\right)$$
=
/ ____\ / ____\
|1 \/ 26 | |1 \/ 26 |
2*atan|- - ------| 2*atan|- + ------|
\5 5 / \5 5 / pi
- ------------------ - ------------------ + --
3 3 6
$$- \frac{2 \operatorname{atan}{\left(\frac{1}{5} + \frac{\sqrt{26}}{5} \right)}}{3} - \frac{2 \operatorname{atan}{\left(\frac{1}{5} - \frac{\sqrt{26}}{5} \right)}}{3} + \frac{\pi}{6}$$
producto
/ ____\ / ____\
|1 \/ 26 | |1 \/ 26 |
-2*atan|- - ------| -2*atan|- + ------|
-pi pi \5 5 / \5 5 /
----*--*-------------------*-------------------
12 4 3 3
$$- \frac{\pi}{12} \frac{\pi}{4} \left(- \frac{2 \operatorname{atan}{\left(\frac{1}{5} - \frac{\sqrt{26}}{5} \right)}}{3}\right) \left(- \frac{2 \operatorname{atan}{\left(\frac{1}{5} + \frac{\sqrt{26}}{5} \right)}}{3}\right)$$
=
/ ____\ / ____\
2 |1 \/ 26 | |1 \/ 26 |
-pi *atan|- - ------|*atan|- + ------|
\5 5 / \5 5 /
---------------------------------------
108
$$- \frac{\pi^{2} \operatorname{atan}{\left(\frac{1}{5} - \frac{\sqrt{26}}{5} \right)} \operatorname{atan}{\left(\frac{1}{5} + \frac{\sqrt{26}}{5} \right)}}{108}$$
-pi^2*atan(1/5 - sqrt(26)/5)*atan(1/5 + sqrt(26)/5)/108
Respuesta rápida
[src]
-pi
x1 = ----
12
$$x_{1} = - \frac{\pi}{12}$$
pi
x2 = --
4
$$x_{2} = \frac{\pi}{4}$$
/ ____\
|1 \/ 26 |
-2*atan|- - ------|
\5 5 /
x3 = -------------------
3
$$x_{3} = - \frac{2 \operatorname{atan}{\left(\frac{1}{5} - \frac{\sqrt{26}}{5} \right)}}{3}$$
/ ____\
|1 \/ 26 |
-2*atan|- + ------|
\5 5 /
x4 = -------------------
3
$$x_{4} = - \frac{2 \operatorname{atan}{\left(\frac{1}{5} + \frac{\sqrt{26}}{5} \right)}}{3}$$
x4 = -2*atan(1/5 + sqrt(26)/5)/3
Respuesta numérica
[src]
x1 = 40.2513072011191
x2 = 20.6821516361328
x3 = -74.6128255227576
x4 = -33.7721210260903
x5 = 3.92699081698724
x6 = 12.30457122656
x7 = 81.4196096055355
x8 = -81.9432083811338
x9 = -31.6777259236971
x10 = -99.7455667514759
x11 = 8.11578102177363
x12 = 84.2336043513762
x13 = 62.2424557762476
x14 = -2.35619449019234
x15 = -55.7632696012188
x16 = 32.2013246992954
x17 = -75.6600230739542
x18 = 78.2780169519457
x19 = 37.1097145475293
x20 = -66.2352451131848
x21 = 57.3340659280137
x22 = 79.3252145031423
x23 = 91.8915851175014
x24 = 1.83259571459405
x25 = 6.02138591938044
x26 = 93.9859802198946
x27 = -15.9697626557481
x28 = -42.1497014356631
x29 = -25.7221385242666
x30 = -97.6511716490827
x31 = 52.0980781720307
x32 = -79.8488132787406
x33 = 13.3517687777566
x34 = 42.6733002112614
x35 = 47.9092879672443
x36 = 18.2601586259905
x37 = -11.7809724509617
x38 = 100.269165527074
x39 = -62.0464549083984
x40 = -57.857664703612
x41 = -47.3856891916461
x42 = -18.0641577581413
x43 = 46.5344925082986
x44 = 5310.07698273015
x45 = 54.1924732744239
x46 = -50.5272818452358
x47 = -85.0848010347236
x48 = -77.7544181763474
x49 = -312.326669644385
x50 = -88.2263936883134
x51 = 35.3429173528852
x52 = 23.8237442897226
x53 = 34.2957198016886
x54 = -59.9520598060052
x55 = 91.5639872097523
x56 = 71.9948316447661
x57 = 163.10101859887
x58 = -93.7899793520455
x59 = -37.9609112308767
x60 = -8.63937979737193
x61 = -86.1319985859202
x62 = 76.1836218495525
x63 = 69.9004365423729
x64 = -44.2440965380563
x65 = 98.174770424681
x66 = 41.6261026600648
x67 = -20.1585528605345
x68 = 64.6644487863899
x69 = 96.0803753222878
x70 = -35.8665161284835
x71 = -27.4889357189107
x72 = -52.621676947629
x73 = 56.2868683768171
x74 = -30.6305283725005
x75 = -1.30899693899575
x76 = 283.20113907873
x77 = 74.0892267471593
x78 = 59.4284610304069
x79 = -84.037603483527
x80 = 10.2101761241668
x81 = -9.68657734856853
x82 = 25.9181393921158
x83 = -72.5184304203644
x84 = 50.0036830696375
x85 = -3.73098994913805
x86 = 28.012534494509
x87 = 86.6555973615185
x88 = -40.0553063332699
x89 = 30.1069295969022
x90 = 67.4784435322306
x91 = -64.1408500107916
x92 = -13.8753675533549
x93 = -23.3001455141243
x94 = -5.49778714378214
x95 = -92.4151838930998
x95 = -92.4151838930998