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La ecuación:
Ecuación 2x^2-x-1=x^2-5x-(-1-x^2)
Ecuación x^2+4=5x
Ecuación x(x^2+2x+1)=6(x+1)
Ecuación 4x+1=-3x+15
Expresar {x} en función de y en la ecuación:
-6*x-20*y=8
13*x-12*y=19
-17*x-15*y=-17
-9*x+11*y=9
Expresiones idénticas
sin^ dos (x)- dos sqrt tres *sin(x)*cos(x)-3*cos^2(x)= cero
seno de al cuadrado (x) menos 2 raíz cuadrada de 3 multiplicar por seno de (x) multiplicar por coseno de (x) menos 3 multiplicar por coseno de al cuadrado (x) es igual a 0
seno de en el grado dos (x) menos dos raíz cuadrada de tres multiplicar por seno de (x) multiplicar por coseno de (x) menos 3 multiplicar por coseno de al cuadrado (x) es igual a cero
sin^2(x)-2√3*sin(x)*cos(x)-3*cos^2(x)=0
sin2(x)-2sqrt3*sin(x)*cos(x)-3*cos2(x)=0
sin2x-2sqrt3*sinx*cosx-3*cos2x=0
sin²(x)-2sqrt3*sin(x)*cos(x)-3*cos²(x)=0
sin en el grado 2(x)-2sqrt3*sin(x)*cos(x)-3*cos en el grado 2(x)=0
sin^2(x)-2sqrt3sin(x)cos(x)-3cos^2(x)=0
sin2(x)-2sqrt3sin(x)cos(x)-3cos2(x)=0
sin2x-2sqrt3sinxcosx-3cos2x=0
sin^2x-2sqrt3sinxcosx-3cos^2x=0
sin^2(x)-2sqrt3*sin(x)*cos(x)-3*cos^2(x)=O
Expresiones semejantes
sin^2(x)+2sqrt3*sin(x)*cos(x)-3*cos^2(x)=0
sin^2(x)-2sqrt3*sin(x)*cos(x)+3*cos^2(x)=0
sin^2(x)-2sqrt3*sinx*cosx-3*cos^2(x)=0
Expresiones con funciones
Seno sin
sin(x)=pi
sin(4*x)=0
sin(x)^2=1
sin(x)=(1/2)
sin(x)=0,5
Seno sin
sin(x)=pi
sin(4*x)=0
sin(x)^2=1
sin(x)=(1/2)
sin(x)=0,5
Coseno cos
cos(x)=-8
cos(x)=-(4/5)
cos(x+(pi/6))=-1
cos(3*x)=1
cos(x)=-3/2
Coseno cos
cos(x)=-8
cos(x)=-(4/5)
cos(x+(pi/6))=-1
cos(3*x)=1
cos(x)=-3/2

sin^2(x)-2sqrt3sin(x)cos(x)-3*cos^2(x)=0 la ecuación

El profesor se sorprenderá mucho al ver tu solución correcta😉

Solución

Ha introducido [src]

   2          ___                      2       
sin (x) - 2*\/ 3 *sin(x)*cos(x) - 3*cos (x) = 0

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

Simplificar

Gráfica

Trazar el gráfico f1(x)

Trazar el gráfico f2(x)

Respuesta rápida [src]

            /                           ___________\
            |    ___     ___     ___   /       ___ |
            |  \/ 3    \/ 6    \/ 6 *\/  3 - \/ 2  |
x1 = -2*atan|- ----- + ----- + --------------------|
            \    3       3              3          /

$$x_{1} = - 2 \operatorname{atan}{\left(- \frac{\sqrt{3}}{3} + \frac{\sqrt{6}}{3} + \frac{\sqrt{6} \sqrt{3 - \sqrt{2}}}{3} \right)}$$

           /                         ___________\
           |  ___     ___     ___   /       ___ |
           |\/ 3    \/ 6    \/ 6 *\/  3 + \/ 2  |
x2 = 2*atan|----- + ----- + --------------------|
           \  3       3              3          /

$$x_{2} = 2 \operatorname{atan}{\left(\frac{\sqrt{3}}{3} + \frac{\sqrt{6}}{3} + \frac{\sqrt{6} \sqrt{\sqrt{2} + 3}}{3} \right)}$$

           /                           ___________\
           |    ___     ___     ___   /       ___ |
           |  \/ 6    \/ 3    \/ 6 *\/  3 - \/ 2  |
x3 = 2*atan|- ----- + ----- + --------------------|
           \    3       3              3          /

$$x_{3} = 2 \operatorname{atan}{\left(- \frac{\sqrt{6}}{3} + \frac{\sqrt{3}}{3} + \frac{\sqrt{6} \sqrt{3 - \sqrt{2}}}{3} \right)}$$

           /                         ___________\
           |  ___     ___     ___   /       ___ |
           |\/ 3    \/ 6    \/ 6 *\/  3 + \/ 2  |
x4 = 2*atan|----- + ----- - --------------------|
           \  3       3              3          /

$$x_{4} = 2 \operatorname{atan}{\left(- \frac{\sqrt{6} \sqrt{\sqrt{2} + 3}}{3} + \frac{\sqrt{3}}{3} + \frac{\sqrt{6}}{3} \right)}$$

x4 = 2*atan(-sqrt(6)*sqrt(sqrt(2) + 3)/3 + sqrt(3)/3 + sqrt(6)/3)

Suma y producto de raíces [src]

suma

        /                           ___________\         /                         ___________\         /                           ___________\         /                         ___________\
        |    ___     ___     ___   /       ___ |         |  ___     ___     ___   /       ___ |         |    ___     ___     ___   /       ___ |         |  ___     ___     ___   /       ___ |
        |  \/ 3    \/ 6    \/ 6 *\/  3 - \/ 2  |         |\/ 3    \/ 6    \/ 6 *\/  3 + \/ 2  |         |  \/ 6    \/ 3    \/ 6 *\/  3 - \/ 2  |         |\/ 3    \/ 6    \/ 6 *\/  3 + \/ 2  |
- 2*atan|- ----- + ----- + --------------------| + 2*atan|----- + ----- + --------------------| + 2*atan|- ----- + ----- + --------------------| + 2*atan|----- + ----- - --------------------|
        \    3       3              3          /         \  3       3              3          /         \    3       3              3          /         \  3       3              3          /

$$2 \operatorname{atan}{\left(- \frac{\sqrt{6} \sqrt{\sqrt{2} + 3}}{3} + \frac{\sqrt{3}}{3} + \frac{\sqrt{6}}{3} \right)} + \left(\left(- 2 \operatorname{atan}{\left(- \frac{\sqrt{3}}{3} + \frac{\sqrt{6}}{3} + \frac{\sqrt{6} \sqrt{3 - \sqrt{2}}}{3} \right)} + 2 \operatorname{atan}{\left(\frac{\sqrt{3}}{3} + \frac{\sqrt{6}}{3} + \frac{\sqrt{6} \sqrt{\sqrt{2} + 3}}{3} \right)}\right) + 2 \operatorname{atan}{\left(- \frac{\sqrt{6}}{3} + \frac{\sqrt{3}}{3} + \frac{\sqrt{6} \sqrt{3 - \sqrt{2}}}{3} \right)}\right)$$

        /                           ___________\         /                           ___________\         /                         ___________\         /                         ___________\
        |    ___     ___     ___   /       ___ |         |    ___     ___     ___   /       ___ |         |  ___     ___     ___   /       ___ |         |  ___     ___     ___   /       ___ |
        |  \/ 3    \/ 6    \/ 6 *\/  3 - \/ 2  |         |  \/ 6    \/ 3    \/ 6 *\/  3 - \/ 2  |         |\/ 3    \/ 6    \/ 6 *\/  3 + \/ 2  |         |\/ 3    \/ 6    \/ 6 *\/  3 + \/ 2  |
- 2*atan|- ----- + ----- + --------------------| + 2*atan|- ----- + ----- + --------------------| + 2*atan|----- + ----- - --------------------| + 2*atan|----- + ----- + --------------------|
        \    3       3              3          /         \    3       3              3          /         \  3       3              3          /         \  3       3              3          /

$$- 2 \operatorname{atan}{\left(- \frac{\sqrt{3}}{3} + \frac{\sqrt{6}}{3} + \frac{\sqrt{6} \sqrt{3 - \sqrt{2}}}{3} \right)} + 2 \operatorname{atan}{\left(- \frac{\sqrt{6} \sqrt{\sqrt{2} + 3}}{3} + \frac{\sqrt{3}}{3} + \frac{\sqrt{6}}{3} \right)} + 2 \operatorname{atan}{\left(- \frac{\sqrt{6}}{3} + \frac{\sqrt{3}}{3} + \frac{\sqrt{6} \sqrt{3 - \sqrt{2}}}{3} \right)} + 2 \operatorname{atan}{\left(\frac{\sqrt{3}}{3} + \frac{\sqrt{6}}{3} + \frac{\sqrt{6} \sqrt{\sqrt{2} + 3}}{3} \right)}$$

producto

       /                           ___________\       /                         ___________\       /                           ___________\       /                         ___________\
       |    ___     ___     ___   /       ___ |       |  ___     ___     ___   /       ___ |       |    ___     ___     ___   /       ___ |       |  ___     ___     ___   /       ___ |
       |  \/ 3    \/ 6    \/ 6 *\/  3 - \/ 2  |       |\/ 3    \/ 6    \/ 6 *\/  3 + \/ 2  |       |  \/ 6    \/ 3    \/ 6 *\/  3 - \/ 2  |       |\/ 3    \/ 6    \/ 6 *\/  3 + \/ 2  |
-2*atan|- ----- + ----- + --------------------|*2*atan|----- + ----- + --------------------|*2*atan|- ----- + ----- + --------------------|*2*atan|----- + ----- - --------------------|
       \    3       3              3          /       \  3       3              3          /       \    3       3              3          /       \  3       3              3          /

$$- 2 \operatorname{atan}{\left(- \frac{\sqrt{3}}{3} + \frac{\sqrt{6}}{3} + \frac{\sqrt{6} \sqrt{3 - \sqrt{2}}}{3} \right)} 2 \operatorname{atan}{\left(\frac{\sqrt{3}}{3} + \frac{\sqrt{6}}{3} + \frac{\sqrt{6} \sqrt{\sqrt{2} + 3}}{3} \right)} 2 \operatorname{atan}{\left(- \frac{\sqrt{6}}{3} + \frac{\sqrt{3}}{3} + \frac{\sqrt{6} \sqrt{3 - \sqrt{2}}}{3} \right)} 2 \operatorname{atan}{\left(- \frac{\sqrt{6} \sqrt{\sqrt{2} + 3}}{3} + \frac{\sqrt{3}}{3} + \frac{\sqrt{6}}{3} \right)}$$

        /                           ___________\     /                           ___________\     /                         ___________\     /                         ___________\
        |    ___     ___     ___   /       ___ |     |    ___     ___     ___   /       ___ |     |  ___     ___     ___   /       ___ |     |  ___     ___     ___   /       ___ |
        |  \/ 3    \/ 6    \/ 6 *\/  3 - \/ 2  |     |  \/ 6    \/ 3    \/ 6 *\/  3 - \/ 2  |     |\/ 3    \/ 6    \/ 6 *\/  3 + \/ 2  |     |\/ 3    \/ 6    \/ 6 *\/  3 + \/ 2  |
-16*atan|- ----- + ----- + --------------------|*atan|- ----- + ----- + --------------------|*atan|----- + ----- - --------------------|*atan|----- + ----- + --------------------|
        \    3       3              3          /     \    3       3              3          /     \  3       3              3          /     \  3       3              3          /

$$- 16 \operatorname{atan}{\left(- \frac{\sqrt{3}}{3} + \frac{\sqrt{6}}{3} + \frac{\sqrt{6} \sqrt{3 - \sqrt{2}}}{3} \right)} \operatorname{atan}{\left(\frac{\sqrt{3}}{3} + \frac{\sqrt{6}}{3} + \frac{\sqrt{6} \sqrt{\sqrt{2} + 3}}{3} \right)} \operatorname{atan}{\left(- \frac{\sqrt{6}}{3} + \frac{\sqrt{3}}{3} + \frac{\sqrt{6} \sqrt{3 - \sqrt{2}}}{3} \right)} \operatorname{atan}{\left(- \frac{\sqrt{6} \sqrt{\sqrt{2} + 3}}{3} + \frac{\sqrt{3}}{3} + \frac{\sqrt{6}}{3} \right)}$$

-16*atan(-sqrt(3)/3 + sqrt(6)/3 + sqrt(6)*sqrt(3 - sqrt(2))/3)*atan(-sqrt(6)/3 + sqrt(3)/3 + sqrt(6)*sqrt(3 - sqrt(2))/3)*atan(sqrt(3)/3 + sqrt(6)/3 - sqrt(6)*sqrt(3 + sqrt(2))/3)*atan(sqrt(3)/3 + sqrt(6)/3 + sqrt(6)*sqrt(3 + sqrt(2))/3)

Respuesta numérica [src]

x1 = 57.8847264608137

x2 = 68.4927040617228

x3 = 42.1767631928647

x4 = 29.6103925785056

x5 = 5795.61611155592

x6 = -98.0117065785362

x7 = -58.3542017220087

x8 = 11.9440362971065

x9 = -61.4957943755984

x10 = -60.3125947354587

x11 = 2.51925833633714

x12 = -8.08871926457196

x13 = 21.3688142578759

x14 = 18.2272216042861

x15 = -3.76392697084245

x16 = 7.61924400337701

x17 = 77.9174820224922

x18 = 98.725430957481

x19 = 24.5104069114657

x20 = -10.047112278022

x21 = -85.4453359641771

x22 = 32.7519852320954

x23 = -30.0798678397005

x24 = 71.6342967153126

x25 = 4.47765134978722

x26 = 49.643148140184

x27 = -14.3719045717515

x28 = -55.2126090684189

x29 = 5.66085098992693

x30 = 79.8758750359423

x31 = -33.2214604932903

x32 = 48.4599485000443

x33 = -22.6134828923812

x34 = -1.80553395739237

x35 = -63.4541873890485

x36 = 70.4510970751729

x37 = -80.3453502971372

x38 = 10.7608366569668

x39 = 35.8935778856851

x40 = -89.7701282579066

x41 = -38.3214461603302

x42 = -91.7285212713567

x43 = -47.7462241210996

x44 = 33.9351848722351

x45 = -54.0294094282791

x46 = 27.6519995650555

x47 = -36.3630531468801

x48 = -20.6550898789311

x49 = -52.0710164148291

x50 = 54.7431338072239

x51 = -74.0621649899576

x52 = -96.0533135650862

x53 = -19.4718902387914

x54 = 30.7935922186453

x55 = -17.5134972253413

x56 = 20.1856146177362

x57 = -88.5869286177669

x58 = -41.46303881392

x59 = 92.4422456503014

x60 = 40.2183701794147

x61 = 64.1679117679933

x62 = 55.9263334473636

x63 = -23.7966825325209

x64 = -32.0382608531506

x65 = 26.4687999249158

x66 = 62.2095187545432

x67 = -99.194906218676

x68 = -69.7373726962281

x69 = -83.486942950727

x70 = -11.2303119181618

x71 = 84.2006673296718

x72 = -66.5957800426383

x73 = -45.7878311076495

x74 = -0.622334317252656

x75 = 90.4838526368514

x76 = 76.7342823823525

x77 = -25.755075545971

x78 = -67.778979682778

x79 = -44.6046314675098

x80 = 46.5015554865942

x81 = -16.3302975852016

x82 = -82.3037433105873

x83 = -77.2037576435474

x84 = 99.9086305976207

x85 = 86.1590603431218

x86 = 93.6254452904411

x87 = -39.5046458004699

x88 = 13.9024293105566

x89 = -76.0205580034077

x90 = 101.867023611071

x90 = 101.867023611071

Otras calculadoras

¿Cómo usar?

Expresiones idénticas

Expresiones semejantes

Expresiones con funciones

sin^2(x)-2sqrt3*sin(x)*cos(x)-3*cos^2(x)=0 la ecuación

Solución numérica:

Solución

sin^2(x)-2sqrt3sin(x)cos(x)-3*cos^2(x)=0 la ecuación