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La ecuación:
Ecuación (x-3)*(x+2)=0
Ecuación z^2-6*z+10=0
Ecuación 4/(x-4)=-5
Ecuación (x-6)^2=-24*x
Expresar {x} en función de y en la ecuación:
-7*x-13*y=5
15*x+1*y=19
7*x-1*y=-7
-14*x-12*y=5
Integral de d{x}:
sinxcosx
0,25
Derivada de:
sinxcosx
Suma de la serie:
0,25
Expresiones idénticas
sinxcosx= cero , veinticinco
seno de x coseno de x es igual a 0,25
seno de x coseno de x es igual a cero , veinticinco
sinxcosx=O,25
Expresiones semejantes
3sin^2(x)+4sin(x)cos(x)+cos^2(x)=0
2*sin(x)*cos(x)=1/2
-2*sin(x)*cos(x)-2*sin(x)=0
Expresiones con funciones
sinxcosx
sinxcosx=-0,5

sinxcosx=0,25 la ecuación

El profesor se sorprenderá mucho al ver tu solución correcta😉

Solución

Ha introducido [src]

sin(x)*cos(x) = 1/4

$$\sin{\left(x \right)} \cos{\left(x \right)} = \frac{1}{4}$$

Simplificar

Gráfica

Trazar el gráfico f1(x)

Trazar el gráfico f2(x)

Respuesta rápida [src]

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

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

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

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

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

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

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

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

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

Suma y producto de raíces [src]

suma

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

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

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

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

producto

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

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

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

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

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

Respuesta numérica [src]

x1 = -31.1541271480988

x2 = -65.7116463375865

x3 = 6.54498469497874

x4 = 34.8193185772869

x5 = -71.9948316447661

x6 = -86.6555973615185

x7 = 53.6688744988256

x8 = -78.2780169519457

x9 = 26.4417381677141

x10 = -21.7293491873294

x11 = 4.45058959258554

x12 = -694.030177055545

x13 = 95.5567765466895

x14 = -37.4373124552784

x15 = -81.4196096055355

x16 = -42.6733002112614

x17 = 73.565627971561

x18 = -56.2868683768171

x19 = -52.0980781720307

x20 = -87.7027949127151

x21 = 13.8753675533549

x22 = -14.3989663289532

x23 = -58.3812634792103

x24 = 35.8665161284835

x25 = 56.8104671524154

x26 = -30.1069295969022

x27 = -17.540558982543

x28 = 50.5272818452358

x29 = 28.5361332701073

x30 = 20.1585528605345

x31 = 31.6777259236971

x32 = -50.0036830696375

x33 = 45.2912940892529

x34 = -93.9859802198946

x35 = -80.3724120543389

x36 = 57.857664703612

x37 = 12.8281700021583

x38 = 42.1497014356631

x39 = 44.2440965380563

x40 = -100.269165527074

x41 = -67.8060414399797

x42 = 78.801615727544

x43 = -1.83259571459405

x44 = -36.3901149040818

x45 = 100.792764302673

x46 = -8.11578102177363

x47 = -23.8237442897226

x48 = 9.68657734856853

x49 = -64.6644487863899

x50 = 59.9520598060052

x51 = 0.261799387799149

x52 = 75.6600230739542

x53 = 29.5833308213039

x54 = 51.5744793964324

x55 = -96.0803753222878

x56 = 79.8488132787406

x57 = 48.4328867428426

x58 = -12.30457122656

x59 = -9.16297857297023

x60 = 92.4151838930998

x61 = -61.5228561328001

x62 = -59.4284610304069

x63 = -83.5140047079287

x64 = -43.720497762458

x65 = -75.1364242983559

x66 = -97.1275728734844

x67 = 22.2529479629277

x68 = 86.1319985859202

x69 = -28.012534494509

x70 = 37.9609112308767

x71 = -15.4461638801498

x72 = 15.9697626557481

x73 = 64.1408500107916

x74 = -40.5789051088682

x75 = -55.2396708256205

x76 = 66.2352451131848

x77 = -34.2957198016886

x78 = 70.4240353179712

x79 = -6.02138591938044

x80 = -89.7971900151083

x81 = 81.9432083811338

x82 = 72.5184304203644

x83 = 88.2263936883134

x84 = -45.8148928648512

x85 = -74.0892267471593

x86 = -53.1452757232273

x87 = -39.5317075576716

x88 = 94.5095789954929

x89 = 7.59218224617533

x89 = 7.59218224617533

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Expresiones idénticas

Expresiones semejantes

Expresiones con funciones

sinxcosx=0,25 la ecuación

Solución numérica:

Solución