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La ecuación:
Ecuación 2x^2-x-1=x^2-5x-(-1-x^2)
Ecuación x(x^2+2x+1)=6(x+1)
Ecuación 4x+1=-3x+15
Ecuación (3x−36)⋅(x+8)=0
Expresar {x} en función de y en la ecuación:
-6*x-20*y=8
13*x-12*y=19
-9*x+11*y=9
-4*x-8*y=-20
Expresiones idénticas
sinx-cos3x+cosx= cero
seno de x menos coseno de 3x más coseno de x es igual a 0
seno de x menos coseno de 3x más coseno de x es igual a cero
sinx-cos3x+cosx=O
Expresiones semejantes
sinx-cos3x-cosx=0
sinx+cos3x+cosx=0
Expresiones con funciones
sinx
Sinx=3
sinx=6,2+2x
Sinx^2-√3*sinx*cosx=0
sinx*(cosx*sinx-1)=0
sinx=-1,8
cosx
cosx+sinx=sqrt2*sin(2x)
cosx=8^(-1/6)
Cosx-cos2x-sin3x=0
cosx-1=1
cosx(x^2+x+1)=y

sinx-cos3x+cosx=0 la ecuación

El profesor se sorprenderá mucho al ver tu solución correcta😉

Solución

Ha introducido [src]

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

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

Simplificar

Gráfica

Trazar el gráfico f1(x)

Trazar el gráfico f2(x)

Suma y producto de raíces [src]

suma

                                                      /    ___     ___\                                      /    ___     ___\
                                                      |  \/ 2    \/ 6 |                                      |  \/ 6    \/ 2 |
                                                      |- ----- - -----|                                      |- ----- + -----|
  5*pi   pi               /log(2)      /  ___\\       |    4       4  |          /log(2)      /  ___\\       |    4       4  |
- ---- - -- + pi + pi + I*|------ - log\\/ 2 /| + atan|---------------| + pi + I*|------ - log\\/ 2 /| + atan|---------------|
   12    12               \  2                /       |    ___     ___|          \  2                /       |   ___     ___ |
                                                      |  \/ 2    \/ 6 |                                      | \/ 2    \/ 6  |
                                                      |- ----- + -----|                                      | ----- + ----- |
                                                      \    4       4  /                                      \   4       4   /

$$\left(\left(\left(- \frac{5 \pi}{12} - \frac{\pi}{12}\right) + \pi\right) + \left(\operatorname{atan}{\left(\frac{- \frac{\sqrt{6}}{4} - \frac{\sqrt{2}}{4}}{- \frac{\sqrt{2}}{4} + \frac{\sqrt{6}}{4}} \right)} + \pi + i \left(- \log{\left(\sqrt{2} \right)} + \frac{\log{\left(2 \right)}}{2}\right)\right)\right) + \left(\operatorname{atan}{\left(\frac{- \frac{\sqrt{6}}{4} + \frac{\sqrt{2}}{4}}{\frac{\sqrt{2}}{4} + \frac{\sqrt{6}}{4}} \right)} + \pi + i \left(- \log{\left(\sqrt{2} \right)} + \frac{\log{\left(2 \right)}}{2}\right)\right)$$

                                       /    ___     ___\       /    ___     ___\
                                       |  \/ 2    \/ 6 |       |  \/ 6    \/ 2 |
                                       |- ----- - -----|       |- ----- + -----|
5*pi       /log(2)      /  ___\\       |    4       4  |       |    4       4  |
---- + 2*I*|------ - log\\/ 2 /| + atan|---------------| + atan|---------------|
 2         \  2                /       |    ___     ___|       |   ___     ___ |
                                       |  \/ 2    \/ 6 |       | \/ 2    \/ 6  |
                                       |- ----- + -----|       | ----- + ----- |
                                       \    4       4  /       \   4       4   /

$$\operatorname{atan}{\left(\frac{- \frac{\sqrt{6}}{4} - \frac{\sqrt{2}}{4}}{- \frac{\sqrt{2}}{4} + \frac{\sqrt{6}}{4}} \right)} + \operatorname{atan}{\left(\frac{- \frac{\sqrt{6}}{4} + \frac{\sqrt{2}}{4}}{\frac{\sqrt{2}}{4} + \frac{\sqrt{6}}{4}} \right)} + \frac{5 \pi}{2} + 2 i \left(- \log{\left(\sqrt{2} \right)} + \frac{\log{\left(2 \right)}}{2}\right)$$

producto

                /                                   /    ___     ___\\ /                                   /    ___     ___\\
                |                                   |  \/ 2    \/ 6 || |                                   |  \/ 6    \/ 2 ||
                |                                   |- ----- - -----|| |                                   |- ----- + -----||
  -5*pi -pi     |       /log(2)      /  ___\\       |    4       4  || |       /log(2)      /  ___\\       |    4       4  ||
0*-----*----*pi*|pi + I*|------ - log\\/ 2 /| + atan|---------------||*|pi + I*|------ - log\\/ 2 /| + atan|---------------||
    12   12     |       \  2                /       |    ___     ___|| |       \  2                /       |   ___     ___ ||
                |                                   |  \/ 2    \/ 6 || |                                   | \/ 2    \/ 6  ||
                |                                   |- ----- + -----|| |                                   | ----- + ----- ||
                \                                   \    4       4  // \                                   \   4       4   //

$$\pi - \frac{\pi}{12} \cdot 0 \left(- \frac{5 \pi}{12}\right) \left(\operatorname{atan}{\left(\frac{- \frac{\sqrt{6}}{4} - \frac{\sqrt{2}}{4}}{- \frac{\sqrt{2}}{4} + \frac{\sqrt{6}}{4}} \right)} + \pi + i \left(- \log{\left(\sqrt{2} \right)} + \frac{\log{\left(2 \right)}}{2}\right)\right) \left(\operatorname{atan}{\left(\frac{- \frac{\sqrt{6}}{4} + \frac{\sqrt{2}}{4}}{\frac{\sqrt{2}}{4} + \frac{\sqrt{6}}{4}} \right)} + \pi + i \left(- \log{\left(\sqrt{2} \right)} + \frac{\log{\left(2 \right)}}{2}\right)\right)$$

$$0$$

Respuesta rápida [src]

x1 = 0

$$x_{1} = 0$$

     -5*pi
x2 = -----
       12

$$x_{2} = - \frac{5 \pi}{12}$$

     -pi 
x3 = ----
      12

$$x_{3} = - \frac{\pi}{12}$$

x4 = pi

$$x_{4} = \pi$$

                                        /    ___     ___\
                                        |  \/ 2    \/ 6 |
                                        |- ----- - -----|
            /log(2)      /  ___\\       |    4       4  |
x5 = pi + I*|------ - log\\/ 2 /| + atan|---------------|
            \  2                /       |    ___     ___|
                                        |  \/ 2    \/ 6 |
                                        |- ----- + -----|
                                        \    4       4  /

$$x_{5} = \operatorname{atan}{\left(\frac{- \frac{\sqrt{6}}{4} - \frac{\sqrt{2}}{4}}{- \frac{\sqrt{2}}{4} + \frac{\sqrt{6}}{4}} \right)} + \pi + i \left(- \log{\left(\sqrt{2} \right)} + \frac{\log{\left(2 \right)}}{2}\right)$$

                                        /    ___     ___\
                                        |  \/ 6    \/ 2 |
                                        |- ----- + -----|
            /log(2)      /  ___\\       |    4       4  |
x6 = pi + I*|------ - log\\/ 2 /| + atan|---------------|
            \  2                /       |   ___     ___ |
                                        | \/ 2    \/ 6  |
                                        | ----- + ----- |
                                        \   4       4   /

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

x6 = atan((-sqrt(6)/4 + sqrt(2)/4)/(sqrt(2)/4 + sqrt(6)/4)) + pi + i*(-log(sqrt(2)) + log(2)/2)

Respuesta numérica [src]

x1 = 31.4159265358979

x2 = -53.6688744988256

x3 = -69.1150383789755

x4 = -34.5575191894877

x5 = -57.857664703612

x6 = -82.9904059323304

x7 = 45.8148928648512

x8 = 23.8237442897226

x9 = -100.530964914873

x10 = 43.9822971502571

x11 = 74.0892267471593

x12 = -59.9520598060052

x13 = -7.59218224617533

x14 = -1.30899693899575

x15 = 78.2780169519457

x16 = 1.83259571459405

x17 = -15.707963267949

x18 = -113736.38783485

x19 = -28.2743338823081

x20 = -21.9911485751286

x21 = -78.5398163397448

x22 = 50.0036830696375

x23 = -72.2566310325652

x24 = 0.0

x25 = -29.5833308213039

x26 = 34.2957198016886

x27 = -50.2654824574367

x28 = -66.2352451131848

x29 = -91.106186954104

x30 = 30.1069295969022

x31 = -45.2912940892529

x32 = 67.8060414399797

x33 = 20.6821516361328

x34 = -13.8753675533549

x35 = 97.3893722612836

x36 = -94.2477796076938

x37 = 89.7971900151083

x38 = -86.1319985859202

x39 = 58.3812634792103

x40 = -79.8488132787406

x41 = 53.4070751110265

x42 = 100.269165527074

x43 = -64.1408500107916

x44 = -15.9697626557481

x45 = -3.14159265358979

x46 = 109.955742875643

x47 = 21.7293491873294

x48 = -31.6777259236971

x49 = 52.0980781720307

x50 = -97.6511716490827

x51 = -95.5567765466895

x52 = 56.2868683768171

x53 = -75.6600230739542

x54 = -47.1238898038469

x55 = 75.398223686155

x56 = -56.5486677646163

x57 = 36.3901149040818

x58 = -35.8665161284835

x59 = 21.9911485751286

x60 = -9.68657734856853

x61 = 40.5789051088682

x62 = -73.565627971561

x63 = 80.3724120543389

x64 = -67.2824426643814

x65 = 62.5700536839967

x66 = 86.6555973615185

x67 = 96.0803753222878

x68 = 64.6644487863899

x69 = -23.3001455141243

x70 = 18.5877565337396

x71 = 42.6733002112614

x72 = -207.606914524726

x73 = -89.27359123951

x74 = -87.9645943005142

x75 = 9.42477796076938

x76 = -37.9609112308767

x77 = 37.6991118430775

x78 = 28.2743338823081

x79 = 12.30457122656

x80 = -12.5663706143592

x81 = -51.5744793964324

x82 = -65.9734457253857

x83 = 59.6902604182061

x84 = 72.2566310325652

x85 = -10.7337748997651

x86 = -6.28318530717959

x87 = 6.28318530717959

x88 = -25.1327412287183

x89 = 94.2477796076938

x90 = 65.9734457253857

x91 = -43.9822971502571

x92 = -42.1497014356631

x93 = 87.9645943005142

x94 = 8.11578102177363

x95 = 81.6814089933346

x96 = 84.5612022591253

x97 = -20.1585528605345

x98 = 14.3989663289532

x99 = 15.707963267949

x100 = 171.478599008443

x100 = 171.478599008443

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Expresiones idénticas

Expresiones semejantes

Expresiones con funciones

sinx-cos3x+cosx=0 la ecuación

Solución numérica:

Solución