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La ecuación:
Ecuación 5(3x+1,2)+x=6,8
Ecuación 5-x=-13
Ecuación 2x=9
Ecuación 2x-x=5
Expresar {x} en función de y en la ecuación:
-8*x-6*y=-20
-20*x+1*y=12
-6*x-8*y=18
-11*x-18*y=18
Expresiones idénticas
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3 seno de en el grado dos (x) más seno de (x)× coseno de (x) menos dos coseno de al cuadrado (x) es igual a cero
3sin2(x)+sin(x)×cos(x)-2cos2(x)=0
3sin2x+sinx×cosx-2cos2x=0
3sin²(x)+sin(x)×cos(x)-2cos²(x)=0
3sin en el grado 2(x)+sin(x)×cos(x)-2cos en el grado 2(x)=0
3sin^2x+sinx×cosx-2cos^2x=0
3sin^2(x)+sin(x)×cos(x)-2cos^2(x)=O
Expresiones semejantes
3sin^2(x)-sin(x)×cos(x)-2cos^2(x)=0
3sin^2(x)+sin(x)×cos(x)+2cos^2(x)=0
3sin^2(x)+sinx×cosx-2cos^2(x)=0

3sin^2(x)+sin(x)×cos(x)-2cos^2(x)=0 la ecuación

El profesor se sorprenderá mucho al ver tu solución correcta😉

Solución

Ha introducido [src]

     2                           2       
3*sin (x) + sin(x)*cos(x) - 2*cos (x) = 0

$$\left(3 \sin^{2}{\left(x \right)} + \sin{\left(x \right)} \cos{\left(x \right)}\right) - 2 \cos^{2}{\left(x \right)} = 0$$

Simplificar

Gráfica

Trazar el gráfico f1(x)

Trazar el gráfico f2(x)

Respuesta rápida [src]

     -pi 
x1 = ----
      4

$$x_{1} = - \frac{\pi}{4}$$

     3*pi
x2 = ----
      4

$$x_{2} = \frac{3 \pi}{4}$$

            /      ____\
            |3   \/ 13 |
x3 = -2*atan|- - ------|
            \2     2   /

$$x_{3} = - 2 \operatorname{atan}{\left(\frac{3}{2} - \frac{\sqrt{13}}{2} \right)}$$

            /      ____\
            |3   \/ 13 |
x4 = -2*atan|- + ------|
            \2     2   /

$$x_{4} = - 2 \operatorname{atan}{\left(\frac{3}{2} + \frac{\sqrt{13}}{2} \right)}$$

x4 = -2*atan(3/2 + sqrt(13)/2)

Suma y producto de raíces [src]

suma

                    /      ____\         /      ____\
  pi   3*pi         |3   \/ 13 |         |3   \/ 13 |
- -- + ---- - 2*atan|- - ------| - 2*atan|- + ------|
  4     4           \2     2   /         \2     2   /

$$- 2 \operatorname{atan}{\left(\frac{3}{2} + \frac{\sqrt{13}}{2} \right)} + \left(- 2 \operatorname{atan}{\left(\frac{3}{2} - \frac{\sqrt{13}}{2} \right)} + \left(- \frac{\pi}{4} + \frac{3 \pi}{4}\right)\right)$$

           /      ____\         /      ____\
pi         |3   \/ 13 |         |3   \/ 13 |
-- - 2*atan|- + ------| - 2*atan|- - ------|
2          \2     2   /         \2     2   /

$$- 2 \operatorname{atan}{\left(\frac{3}{2} + \frac{\sqrt{13}}{2} \right)} - 2 \operatorname{atan}{\left(\frac{3}{2} - \frac{\sqrt{13}}{2} \right)} + \frac{\pi}{2}$$

producto

                 /      ____\        /      ____\
-pi  3*pi        |3   \/ 13 |        |3   \/ 13 |
----*----*-2*atan|- - ------|*-2*atan|- + ------|
 4    4          \2     2   /        \2     2   /

$$- \frac{\pi}{4} \frac{3 \pi}{4} \left(- 2 \operatorname{atan}{\left(\frac{3}{2} - \frac{\sqrt{13}}{2} \right)}\right) \left(- 2 \operatorname{atan}{\left(\frac{3}{2} + \frac{\sqrt{13}}{2} \right)}\right)$$

           /      ____\     /      ____\
     2     |3   \/ 13 |     |3   \/ 13 |
-3*pi *atan|- + ------|*atan|- - ------|
           \2     2   /     \2     2   /
----------------------------------------
                   4

$$- \frac{3 \pi^{2} \operatorname{atan}{\left(\frac{3}{2} - \frac{\sqrt{13}}{2} \right)} \operatorname{atan}{\left(\frac{3}{2} + \frac{\sqrt{13}}{2} \right)}}{4}$$

-3*pi^2*atan(3/2 + sqrt(13)/2)*atan(3/2 - sqrt(13)/2)/4

Respuesta numérica [src]

x1 = 97.9773748648312

x2 = 96.6039740978861

x3 = 68.329640215578

x4 = -91.8915851175014

x5 = -99.9429623113258

x6 = 99.7455667514759

x7 = -3.92699081698724

x8 = -93.6597770041462

x9 = -54.1924732744239

x10 = 66.5614483289332

x11 = -536.624341160307

x12 = -10.2101761241668

x13 = 88.5525969040618

x14 = -76.1836218495525

x15 = -25.9181393921158

x16 = 75.9862262897026

x17 = 47.7118924073945

x18 = -87.3765916969666

x19 = 77.7544181763474

x20 = 22.5791511786761

x21 = 53.9950777145741

x22 = 44.5702997538047

x23 = -57.3340659280137

x24 = 57.1366703681638

x25 = 38.2871144466251

x26 = 91.6941895576516

x27 = -69.9004365423729

x28 = -49.6774798538891

x29 = 2.35619449019234

x30 = -19.6349540849362

x31 = 24.3473430653209

x32 = 19054.3474466256

x33 = -85.6083998103219

x34 = -84.2349990433768

x35 = -18.2615533179912

x36 = -2.55359005004223

x37 = 90.3207887907066

x38 = 743.772060737384

x39 = 60.2782630217536

x40 = 74.6128255227576

x41 = 40.0553063332699

x42 = 776.561388040226

x43 = -40.2527018931197

x44 = 30.6305283725005

x45 = 8.63937979737193

x46 = 19.4375585250863

x47 = -98.174770424681

x48 = -68.5270357754279

x49 = -11.9783680108116

x50 = 32.0039291394455

x51 = -24.5447386251708

x52 = -90.5181843505564

x53 = 84.037603483527

x54 = -63.6172512351933

x55 = -33.9695165859402

x56 = -46.5358872002993

x57 = -35.3429173528852

x58 = 33.7721210260903

x59 = 46.3384916404494

x60 = -32.2013246992954

x61 = 11.7809724509617

x62 = -65.3854431218381

x63 = -41.6261026600648

x64 = 3.72959525713736

x65 = 18.0641577581413

x66 = -47.9092879672443

x67 = 52.621676947629

x68 = 82.2694115968822

x69 = 55.7632696012188

x70 = 62.0464549083984

x71 = -43.3942945467095

x72 = -5.69518270363202

x73 = 25.7207438322659

x74 = -21.403145971581

x75 = 10.0127805643169

x76 = 1799.34719234355

x77 = -77.9518137361973

x78 = 69.703040982523

x79 = 63.4198556753434

x80 = 0.588002603547568

x81 = -79.3252145031423

x82 = -13.3517687777566

x83 = 16.2959658714965

x84 = -62.2438504682483

x85 = 41.4287071002149

x86 = 85.411004250472

x87 = -71.6686284290177

x88 = -55.9606651610687

x89 = -27.6863312787606

x89 = -27.6863312787606

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Expresiones idénticas

Expresiones semejantes

3sin^2(x)+sin(x)×cos(x)-2cos^2(x)=0 la ecuación

Solución numérica:

Solución