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La ecuación:
Ecuación x^2+5x=36
Ecuación 3*x-6=x+4
Ecuación 3^x=-1
Ecuación 9^x-8*3^x-9=0
Expresar {x} en función de y en la ecuación:
10*x-15*y=16
-17*x+2*y=-4
-2*x-19*y=3
6*x+17*y=-11
Integral de d{x}:
cos(4*x)
sin(3*x)
Gráfico de la función y =:
cos(4*x)
sin(3*x)
Límite de la función:
cos(4*x)
Derivada de:
sin(3*x)
Expresiones idénticas
cos(cuatro *x)=sin(tres *x)
coseno de (4 multiplicar por x) es igual a seno de (3 multiplicar por x)
coseno de (cuatro multiplicar por x) es igual a seno de (tres multiplicar por x)
cos(4x)=sin(3x)
cos4x=sin3x
Expresiones semejantes
sin(7x)-sin(x)=cos(4x)
sin3x*cosx=1
2*sin^3(x)+sin(x)+√2=√2*cos(2x)
sin(x)^2+sin(2x)^2-sin(3x)^2-sin(4x)^2=0
2*cos4x=-6
sin(3x+(2π/3))=-1
sin(2x)*cos(4x)=1
Expresiones con funciones
Coseno cos
cos^2x+cos^22*x-cos^23*x-cos^24*x=0
cos(m/3+x)=1/2
cos(2x)+sin(x)^(2)=3/4
cos𝑥=−7
cos(4*x)=4*sin(2*x)+8*cos(4*x)-4
Seno sin
sin(x)=sqrt(2)
sin(x)+x=0
sin(z)=3i/4
sin(2*x)+1=0
sin^2(x)=0

cos(4x)=sin(3x) la ecuación

El profesor se sorprenderá mucho al ver tu solución correcta😉

Solución

Ha introducido [src]

cos(4*x) = sin(3*x)

$$\cos{\left(4 x \right)} = \sin{\left(3 x \right)}$$

Simplificar

Gráfica

Trazar el gráfico f1(x)

Trazar el gráfico f2(x)

Respuesta rápida [src]

     -pi 
x1 = ----
      2

$$x_{1} = - \frac{\pi}{2}$$

     pi
x2 = --
     14

$$x_{2} = \frac{\pi}{14}$$

     13*pi
x3 = -----
       14

$$x_{3} = \frac{13 \pi}{14}$$

           /     3/14\
x4 = -I*log\-(-1)    /

$$x_{4} = - i \log{\left(- \left(-1\right)^{\frac{3}{14}} \right)}$$

                                              /   /pi\\
            /    _____________________\       |cos|--||
            |   /    2/pi\      2/pi\ |       |   \7 /|
x5 = - I*log|  /  cos |--| + sin |--| | + atan|-------|
            \\/       \7 /       \7 / /       |   /pi\|
                                              |sin|--||
                                              \   \7 //

$$x_{5} = - i \log{\left(\sqrt{\sin^{2}{\left(\frac{\pi}{7} \right)} + \cos^{2}{\left(\frac{\pi}{7} \right)}} \right)} + \operatorname{atan}{\left(\frac{\cos{\left(\frac{\pi}{7} \right)}}{\sin{\left(\frac{\pi}{7} \right)}} \right)}$$

           /   /2*pi\\                                       
           |cos|----||        /    _________________________\
           |   \ 7  /|        |   /    2/2*pi\      2/2*pi\ |
x6 = - atan|---------| - I*log|  /  cos |----| + sin |----| |
           |   /2*pi\|        \\/       \ 7  /       \ 7  / /
           |sin|----||                                       
           \   \ 7  //

$$x_{6} = - \operatorname{atan}{\left(\frac{\cos{\left(\frac{2 \pi}{7} \right)}}{\sin{\left(\frac{2 \pi}{7} \right)}} \right)} - i \log{\left(\sqrt{\cos^{2}{\left(\frac{2 \pi}{7} \right)} + \sin^{2}{\left(\frac{2 \pi}{7} \right)}} \right)}$$

              /         2/pi\\                                                      
              |1 - 2*sin |--||        /    ________________________________________\
              |          \14/|        |   /        2/pi\        2/pi\        4/pi\ |
x7 = pi - atan|--------------| - I*log|  /  1 + sin |--| - 4*sin |--| + 4*sin |--| |
              |      /pi\    |        \\/           \7 /         \14/         \14/ /
              |   sin|--|    |                                                      
              \      \7 /    /

$$x_{7} = - \operatorname{atan}{\left(\frac{1 - 2 \sin^{2}{\left(\frac{\pi}{14} \right)}}{\sin{\left(\frac{\pi}{7} \right)}} \right)} - i \log{\left(\sqrt{- 4 \sin^{2}{\left(\frac{\pi}{14} \right)} + 4 \sin^{4}{\left(\frac{\pi}{14} \right)} + \sin^{2}{\left(\frac{\pi}{7} \right)} + 1} \right)} + \pi$$

x7 = -atan((1 - 2*sin(pi/14)^2)/sin(pi/7)) - i*log(sqrt(-4*sin(pi/14)^2 + 4*sin(pi/14)^4 + sin(pi/7)^2 + 1)) + pi

Suma y producto de raíces [src]

suma

                                                                                /   /pi\\         /   /2*pi\\                                                   /         2/pi\\                                                      
                                              /    _____________________\       |cos|--||         |cos|----||        /    _________________________\            |1 - 2*sin |--||        /    ________________________________________\
  pi   pi   13*pi        /     3/14\          |   /    2/pi\      2/pi\ |       |   \7 /|         |   \ 7  /|        |   /    2/2*pi\      2/2*pi\ |            |          \14/|        |   /        2/pi\        2/pi\        4/pi\ |
- -- + -- + ----- - I*log\-(-1)    / + - I*log|  /  cos |--| + sin |--| | + atan|-------| + - atan|---------| - I*log|  /  cos |----| + sin |----| | + pi - atan|--------------| - I*log|  /  1 + sin |--| - 4*sin |--| + 4*sin |--| |
  2    14     14                              \\/       \7 /       \7 / /       |   /pi\|         |   /2*pi\|        \\/       \ 7  /       \ 7  / /            |      /pi\    |        \\/           \7 /         \14/         \14/ /
                                                                                |sin|--||         |sin|----||                                                   |   sin|--|    |                                                      
                                                                                \   \7 //         \   \ 7  //                                                   \      \7 /    /

$$\left(\left(- \operatorname{atan}{\left(\frac{\cos{\left(\frac{2 \pi}{7} \right)}}{\sin{\left(\frac{2 \pi}{7} \right)}} \right)} - i \log{\left(\sqrt{\cos^{2}{\left(\frac{2 \pi}{7} \right)} + \sin^{2}{\left(\frac{2 \pi}{7} \right)}} \right)}\right) + \left(\left(- i \log{\left(- \left(-1\right)^{\frac{3}{14}} \right)} + \left(\left(- \frac{\pi}{2} + \frac{\pi}{14}\right) + \frac{13 \pi}{14}\right)\right) + \left(- i \log{\left(\sqrt{\sin^{2}{\left(\frac{\pi}{7} \right)} + \cos^{2}{\left(\frac{\pi}{7} \right)}} \right)} + \operatorname{atan}{\left(\frac{\cos{\left(\frac{\pi}{7} \right)}}{\sin{\left(\frac{\pi}{7} \right)}} \right)}\right)\right)\right) + \left(- \operatorname{atan}{\left(\frac{1 - 2 \sin^{2}{\left(\frac{\pi}{14} \right)}}{\sin{\left(\frac{\pi}{7} \right)}} \right)} - i \log{\left(\sqrt{- 4 \sin^{2}{\left(\frac{\pi}{14} \right)} + 4 \sin^{4}{\left(\frac{\pi}{14} \right)} + \sin^{2}{\left(\frac{\pi}{7} \right)} + 1} \right)} + \pi\right)$$

      /         2/pi\\       /   /2*pi\\                                                                                                                                                                 /   /pi\\
      |1 - 2*sin |--||       |cos|----||               /    _____________________\        /    _________________________\        /    ________________________________________\                          |cos|--||
      |          \14/|       |   \ 7  /|   3*pi        |   /    2/pi\      2/pi\ |        |   /    2/2*pi\      2/2*pi\ |        |   /        2/pi\        2/pi\        4/pi\ |        /     3/14\       |   \7 /|
- atan|--------------| - atan|---------| + ---- - I*log|  /  cos |--| + sin |--| | - I*log|  /  cos |----| + sin |----| | - I*log|  /  1 + sin |--| - 4*sin |--| + 4*sin |--| | - I*log\-(-1)    / + atan|-------|
      |      /pi\    |       |   /2*pi\|    2          \\/       \7 /       \7 / /        \\/       \ 7  /       \ 7  / /        \\/           \7 /         \14/         \14/ /                          |   /pi\|
      |   sin|--|    |       |sin|----||                                                                                                                                                                 |sin|--||
      \      \7 /    /       \   \ 7  //                                                                                                                                                                 \   \7 //

$$- i \log{\left(- \left(-1\right)^{\frac{3}{14}} \right)} - \operatorname{atan}{\left(\frac{1 - 2 \sin^{2}{\left(\frac{\pi}{14} \right)}}{\sin{\left(\frac{\pi}{7} \right)}} \right)} - \operatorname{atan}{\left(\frac{\cos{\left(\frac{2 \pi}{7} \right)}}{\sin{\left(\frac{2 \pi}{7} \right)}} \right)} - i \log{\left(\sqrt{\sin^{2}{\left(\frac{\pi}{7} \right)} + \cos^{2}{\left(\frac{\pi}{7} \right)}} \right)} - i \log{\left(\sqrt{\cos^{2}{\left(\frac{2 \pi}{7} \right)} + \sin^{2}{\left(\frac{2 \pi}{7} \right)}} \right)} - i \log{\left(\sqrt{- 4 \sin^{2}{\left(\frac{\pi}{14} \right)} + 4 \sin^{4}{\left(\frac{\pi}{14} \right)} + \sin^{2}{\left(\frac{\pi}{7} \right)} + 1} \right)} + \operatorname{atan}{\left(\frac{\cos{\left(\frac{\pi}{7} \right)}}{\sin{\left(\frac{\pi}{7} \right)}} \right)} + \frac{3 \pi}{2}$$

producto

                                  /                                         /   /pi\\\ /      /   /2*pi\\                                       \ /         /         2/pi\\                                                      \
                                  |       /    _____________________\       |cos|--||| |      |cos|----||        /    _________________________\| |         |1 - 2*sin |--||        /    ________________________________________\|
-pi  pi 13*pi /      /     3/14\\ |       |   /    2/pi\      2/pi\ |       |   \7 /|| |      |   \ 7  /|        |   /    2/2*pi\      2/2*pi\ || |         |          \14/|        |   /        2/pi\        2/pi\        4/pi\ ||
----*--*-----*\-I*log\-(-1)    //*|- I*log|  /  cos |--| + sin |--| | + atan|-------||*|- atan|---------| - I*log|  /  cos |----| + sin |----| ||*|pi - atan|--------------| - I*log|  /  1 + sin |--| - 4*sin |--| + 4*sin |--| ||
 2   14   14                      |       \\/       \7 /       \7 / /       |   /pi\|| |      |   /2*pi\|        \\/       \ 7  /       \ 7  / /| |         |      /pi\    |        \\/           \7 /         \14/         \14/ /|
                                  |                                         |sin|--||| |      |sin|----||                                       | |         |   sin|--|    |                                                      |
                                  \                                         \   \7 /// \      \   \ 7  //                                       / \         \      \7 /    /                                                      /

$$- i \log{\left(- \left(-1\right)^{\frac{3}{14}} \right)} \frac{13 \pi}{14} \cdot - \frac{\pi}{2} \frac{\pi}{14} \left(- i \log{\left(\sqrt{\sin^{2}{\left(\frac{\pi}{7} \right)} + \cos^{2}{\left(\frac{\pi}{7} \right)}} \right)} + \operatorname{atan}{\left(\frac{\cos{\left(\frac{\pi}{7} \right)}}{\sin{\left(\frac{\pi}{7} \right)}} \right)}\right) \left(- \operatorname{atan}{\left(\frac{\cos{\left(\frac{2 \pi}{7} \right)}}{\sin{\left(\frac{2 \pi}{7} \right)}} \right)} - i \log{\left(\sqrt{\cos^{2}{\left(\frac{2 \pi}{7} \right)} + \sin^{2}{\left(\frac{2 \pi}{7} \right)}} \right)}\right) \left(- \operatorname{atan}{\left(\frac{1 - 2 \sin^{2}{\left(\frac{\pi}{14} \right)}}{\sin{\left(\frac{\pi}{7} \right)}} \right)} - i \log{\left(\sqrt{- 4 \sin^{2}{\left(\frac{\pi}{14} \right)} + 4 \sin^{4}{\left(\frac{\pi}{14} \right)} + \sin^{2}{\left(\frac{\pi}{7} \right)} + 1} \right)} + \pi\right)$$

        5 /               /       2/pi\        2/pi\        4/pi\\\    /     3/14\
195*I*pi *|-9*pi + 7*I*log|1 + sin |--| - 4*sin |--| + 4*sin |--|||*log\-(-1)    /
          \               \        \7 /         \14/         \14///               
----------------------------------------------------------------------------------
                                     1075648

$$\frac{195 i \pi^{5} \left(- 9 \pi + 7 i \log{\left(- 4 \sin^{2}{\left(\frac{\pi}{14} \right)} + 4 \sin^{4}{\left(\frac{\pi}{14} \right)} + \sin^{2}{\left(\frac{\pi}{7} \right)} + 1 \right)}\right) \log{\left(- \left(-1\right)^{\frac{3}{14}} \right)}}{1075648}$$

195*i*pi^5*(-9*pi + 7*i*log(1 + sin(pi/7)^2 - 4*sin(pi/14)^2 + 4*sin(pi/14)^4))*log(-(-1)^(3/14))/1075648

Respuesta numérica [src]

x1 = 52.2850777347444

x2 = -41.9627018729494

x3 = 80.1106125979845

x4 = 78.3154168644884

x5 = 36.1283157056838

x6 = -32.0891249616672

x7 = -6389.77505792638

x8 = -1.57079641056828

x9 = -87.7401948252578

x10 = 54.9778718284043

x11 = 37.0259134173083

x12 = 88.1889937757706

x13 = -51.8362786929408

x14 = -53.6314745862829

x15 = -19.522754347308

x16 = 44.2066966255135

x17 = -9.64917743602579

x18 = -37.4747123678211

x19 = -69.7882368047447

x20 = -89.5353901107052

x21 = -43.7578976750007

x22 = -92.2281843303861

x23 = 55.875469338847

x24 = -35.6795165657698

x25 = 63.9538504480779

x26 = -58.1194640123104

x27 = -6.05878583192317

x28 = 36.1283155818579

x29 = -89.5353907147005

x30 = 29.8451302978042

x31 = -50.0410829821803

x32 = 28.0499344070517

x33 = 86.3937978989358

x34 = -17.7275585452567

x35 = 60.3634588439753

x36 = 95.3697769839759

x37 = -59.9146598934625

x38 = -67.9930410026934

x39 = 42.4115007436173

x40 = -76.0714221119243

x41 = 70.2370357552575

x42 = 80.1106125046314

x43 = 18.1763574957695

x44 = 72.0322315573088

x45 = -45.5530935634334

x46 = 0.224399475256414

x47 = -24.0107438524363

x48 = -27.6011354565389

x49 = 62.1586546460266

x50 = -7.85398151477289

x51 = -95.8185758687118

x52 = -102.101761161769

x53 = -25.8059396544876

x54 = 73.8274274509396

x55 = 96.2673748850015

x56 = 21.7667490998721

x57 = -85.9449990232065

x58 = -58.119464470516

x59 = 26.2547386050004

x60 = 19.9715532978208

x61 = -49.1434850811546

x62 = 16.3811616937182

x63 = -51.8362784319896

x64 = 54.0802735367957

x65 = -77.8666179139756

x66 = 81.905808468591

x67 = 28.9475323080774

x68 = 8.30278058448731

x69 = 37.9235113183339

x70 = -33.8843207637185

x71 = 46.0018924275648

x72 = -61.7098556955138

x73 = -76.9690201859833

x74 = -14.1371668566255

x75 = 11.8931721885899

x76 = -20.4203521466569

x77 = -97.61377173654

x78 = -84.1498032211552

x79 = 1.12199737628207

x80 = -79.6618137160269

x81 = 92.6769835268997

x82 = -71.583432606796

x83 = 2.01959527730772

x84 = -15.9323627432054

x85 = -66.1978452006421

x86 = 98.0625706870528

x87 = 34.3331197142313

x88 = 99.8577664891041

x89 = 89.9841895778219

x90 = -94.0233801324374

x91 = 68.4418399532062

x92 = 10.0979763865386

x92 = 10.0979763865386

Otras calculadoras

¿Cómo usar?

Expresiones idénticas

Expresiones semejantes

Expresiones con funciones

cos(4*x)=sin(3*x) la ecuación

Solución numérica:

Solución

cos(4x)=sin(3x) la ecuación