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La ecuación:
Ecuación x^2-14*x+33=0
Ecuación 3^8-x=27
Ecuación 6,4(y-12,8)=3,2
Ecuación 3*x^2=18
Expresar {x} en función de y en la ecuación:
-13*x-19*y=17
-9*x-12*y=-19
-17*x-12*y=-9
-8*x+3*y=-4
Expresiones idénticas
cos(dos x)+√(tres)sin((pi/2)+x)= cero
coseno de (2x) más √(3) seno de (( número pi dividir por 2) más x) es igual a 0
coseno de (dos x) más √(tres) seno de (( número pi dividir por 2) más x) es igual a cero
cos2x+√3sinpi/2+x=0
cos(2x)+√(3)sin((pi/2)+x)=O
cos(2x)+√(3)sin((pi dividir por 2)+x)=0
Expresiones semejantes
cos(2x)+√(3)sin((pi/2)-x)=0
cos(2x)-√(3)sin((pi/2)+x)=0
Expresiones con funciones
Coseno cos
cos(x+(|x|))=1
cos(5*x)^2=4
cos(x)-cos(2*x)/2+cos(x-acos(1-a/b))/2-1=0
cos(3*x)^4+cos(3*x-pi/4)^4=1/4
cos(2*x)+1/2=cos(x)^2
Seno sin
sin(pi*x/6)=-1
sin(x)=-sqrt(3)/2
sin(x)=4/5
sin(z)=-2
sin(x)+cos(x)=0

cos(2x)+√(3)sin((pi/2)+x)=0 la ecuación

El profesor se sorprenderá mucho al ver tu solución correcta😉

Solución

Ha introducido [src]

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

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

Simplificar

Gráfica

Trazar el gráfico f1(x)

Trazar el gráfico f2(x)

Suma y producto de raíces [src]

suma

       /                              ____________\        /                              ____________\             /                          _____________\             /                          _____________\
       |    ___     ____       ___   /       ____ |        |    ___     ____       ___   /       ____ |             |  ___     ____     ___   /        ____ |             |  ___     ____     ___   /        ____ |
       |  \/ 3    \/ 11    I*\/ 2 *\/  1 + \/ 33  |        |  \/ 3    \/ 11    I*\/ 2 *\/  1 + \/ 33  |             |\/ 3    \/ 11    \/ 2 *\/  -1 + \/ 33  |             |\/ 3    \/ 11    \/ 2 *\/  -1 + \/ 33  |
- I*log|- ----- + ------ - -----------------------| - I*log|- ----- + ------ + -----------------------| + pi - I*log|----- + ------ + ----------------------| + pi - I*log|----- + ------ - ----------------------|
       \    4       4                 4           /        \    4       4                 4           /             \  4       4                4           /             \  4       4                4           /

$$\left(\left(- i \log{\left(- \frac{\sqrt{3}}{4} + \frac{\sqrt{11}}{4} - \frac{\sqrt{2} i \sqrt{1 + \sqrt{33}}}{4} \right)} - i \log{\left(- \frac{\sqrt{3}}{4} + \frac{\sqrt{11}}{4} + \frac{\sqrt{2} i \sqrt{1 + \sqrt{33}}}{4} \right)}\right) + \left(\pi - i \log{\left(\frac{\sqrt{3}}{4} + \frac{\sqrt{2} \sqrt{-1 + \sqrt{33}}}{4} + \frac{\sqrt{11}}{4} \right)}\right)\right) + \left(\pi - i \log{\left(- \frac{\sqrt{2} \sqrt{-1 + \sqrt{33}}}{4} + \frac{\sqrt{3}}{4} + \frac{\sqrt{11}}{4} \right)}\right)$$

            /                              ____________\        /                              ____________\        /                          _____________\        /                          _____________\
            |    ___     ____       ___   /       ____ |        |    ___     ____       ___   /       ____ |        |  ___     ____     ___   /        ____ |        |  ___     ____     ___   /        ____ |
            |  \/ 3    \/ 11    I*\/ 2 *\/  1 + \/ 33  |        |  \/ 3    \/ 11    I*\/ 2 *\/  1 + \/ 33  |        |\/ 3    \/ 11    \/ 2 *\/  -1 + \/ 33  |        |\/ 3    \/ 11    \/ 2 *\/  -1 + \/ 33  |
2*pi - I*log|- ----- + ------ - -----------------------| - I*log|- ----- + ------ + -----------------------| - I*log|----- + ------ - ----------------------| - I*log|----- + ------ + ----------------------|
            \    4       4                 4           /        \    4       4                 4           /        \  4       4                4           /        \  4       4                4           /

$$- i \log{\left(- \frac{\sqrt{3}}{4} + \frac{\sqrt{11}}{4} - \frac{\sqrt{2} i \sqrt{1 + \sqrt{33}}}{4} \right)} - i \log{\left(- \frac{\sqrt{3}}{4} + \frac{\sqrt{11}}{4} + \frac{\sqrt{2} i \sqrt{1 + \sqrt{33}}}{4} \right)} + 2 \pi - i \log{\left(\frac{\sqrt{3}}{4} + \frac{\sqrt{2} \sqrt{-1 + \sqrt{33}}}{4} + \frac{\sqrt{11}}{4} \right)} - i \log{\left(- \frac{\sqrt{2} \sqrt{-1 + \sqrt{33}}}{4} + \frac{\sqrt{3}}{4} + \frac{\sqrt{11}}{4} \right)}$$

producto

      /                              ____________\ /      /                              ____________\\ /          /                          _____________\\ /          /                          _____________\\
      |    ___     ____       ___   /       ____ | |      |    ___     ____       ___   /       ____ || |          |  ___     ____     ___   /        ____ || |          |  ___     ____     ___   /        ____ ||
      |  \/ 3    \/ 11    I*\/ 2 *\/  1 + \/ 33  | |      |  \/ 3    \/ 11    I*\/ 2 *\/  1 + \/ 33  || |          |\/ 3    \/ 11    \/ 2 *\/  -1 + \/ 33  || |          |\/ 3    \/ 11    \/ 2 *\/  -1 + \/ 33  ||
-I*log|- ----- + ------ - -----------------------|*|-I*log|- ----- + ------ + -----------------------||*|pi - I*log|----- + ------ + ----------------------||*|pi - I*log|----- + ------ - ----------------------||
      \    4       4                 4           / \      \    4       4                 4           // \          \  4       4                4           // \          \  4       4                4           //

$$- i \log{\left(- \frac{\sqrt{3}}{4} + \frac{\sqrt{11}}{4} - \frac{\sqrt{2} i \sqrt{1 + \sqrt{33}}}{4} \right)} \left(- i \log{\left(- \frac{\sqrt{3}}{4} + \frac{\sqrt{11}}{4} + \frac{\sqrt{2} i \sqrt{1 + \sqrt{33}}}{4} \right)}\right) \left(\pi - i \log{\left(\frac{\sqrt{3}}{4} + \frac{\sqrt{2} \sqrt{-1 + \sqrt{33}}}{4} + \frac{\sqrt{11}}{4} \right)}\right) \left(\pi - i \log{\left(- \frac{\sqrt{2} \sqrt{-1 + \sqrt{33}}}{4} + \frac{\sqrt{3}}{4} + \frac{\sqrt{11}}{4} \right)}\right)$$

 /          /                          _____________\\ /          /                          _____________\\    /                              ____________\    /                              ____________\
 |          |  ___     ____     ___   /        ____ || |          |  ___     ____     ___   /        ____ ||    |    ___     ____       ___   /       ____ |    |    ___     ____       ___   /       ____ |
 |          |\/ 3    \/ 11    \/ 2 *\/  -1 + \/ 33  || |          |\/ 3    \/ 11    \/ 2 *\/  -1 + \/ 33  ||    |  \/ 3    \/ 11    I*\/ 2 *\/  1 + \/ 33  |    |  \/ 3    \/ 11    I*\/ 2 *\/  1 + \/ 33  |
-|pi - I*log|----- + ------ - ----------------------||*|pi - I*log|----- + ------ + ----------------------||*log|- ----- + ------ - -----------------------|*log|- ----- + ------ + -----------------------|
 \          \  4       4                4           // \          \  4       4                4           //    \    4       4                 4           /    \    4       4                 4           /

$$- \left(\pi - i \log{\left(\frac{\sqrt{3}}{4} + \frac{\sqrt{2} \sqrt{-1 + \sqrt{33}}}{4} + \frac{\sqrt{11}}{4} \right)}\right) \left(\pi - i \log{\left(- \frac{\sqrt{2} \sqrt{-1 + \sqrt{33}}}{4} + \frac{\sqrt{3}}{4} + \frac{\sqrt{11}}{4} \right)}\right) \log{\left(- \frac{\sqrt{3}}{4} + \frac{\sqrt{11}}{4} - \frac{\sqrt{2} i \sqrt{1 + \sqrt{33}}}{4} \right)} \log{\left(- \frac{\sqrt{3}}{4} + \frac{\sqrt{11}}{4} + \frac{\sqrt{2} i \sqrt{1 + \sqrt{33}}}{4} \right)}$$

-(pi - i*log(sqrt(3)/4 + sqrt(11)/4 - sqrt(2)*sqrt(-1 + sqrt(33))/4))*(pi - i*log(sqrt(3)/4 + sqrt(11)/4 + sqrt(2)*sqrt(-1 + sqrt(33))/4))*log(-sqrt(3)/4 + sqrt(11)/4 - i*sqrt(2)*sqrt(1 + sqrt(33))/4)*log(-sqrt(3)/4 + sqrt(11)/4 + i*sqrt(2)*sqrt(1 + sqrt(33))/4)

Respuesta rápida [src]

           /                              ____________\
           |    ___     ____       ___   /       ____ |
           |  \/ 3    \/ 11    I*\/ 2 *\/  1 + \/ 33  |
x1 = -I*log|- ----- + ------ - -----------------------|
           \    4       4                 4           /

$$x_{1} = - i \log{\left(- \frac{\sqrt{3}}{4} + \frac{\sqrt{11}}{4} - \frac{\sqrt{2} i \sqrt{1 + \sqrt{33}}}{4} \right)}$$

           /                              ____________\
           |    ___     ____       ___   /       ____ |
           |  \/ 3    \/ 11    I*\/ 2 *\/  1 + \/ 33  |
x2 = -I*log|- ----- + ------ + -----------------------|
           \    4       4                 4           /

$$x_{2} = - i \log{\left(- \frac{\sqrt{3}}{4} + \frac{\sqrt{11}}{4} + \frac{\sqrt{2} i \sqrt{1 + \sqrt{33}}}{4} \right)}$$

               /                          _____________\
               |  ___     ____     ___   /        ____ |
               |\/ 3    \/ 11    \/ 2 *\/  -1 + \/ 33  |
x3 = pi - I*log|----- + ------ + ----------------------|
               \  4       4                4           /

$$x_{3} = \pi - i \log{\left(\frac{\sqrt{3}}{4} + \frac{\sqrt{2} \sqrt{-1 + \sqrt{33}}}{4} + \frac{\sqrt{11}}{4} \right)}$$

               /                          _____________\
               |  ___     ____     ___   /        ____ |
               |\/ 3    \/ 11    \/ 2 *\/  -1 + \/ 33  |
x4 = pi - I*log|----- + ------ - ----------------------|
               \  4       4                4           /

$$x_{4} = \pi - i \log{\left(- \frac{\sqrt{2} \sqrt{-1 + \sqrt{33}}}{4} + \frac{\sqrt{3}}{4} + \frac{\sqrt{11}}{4} \right)}$$

x4 = pi - i*log(-sqrt(2)*sqrt(-1 + sqrt(33))/4 + sqrt(3)/4 + sqrt(11)/4)

Respuesta numérica [src]

x1 = -49.1019990297588

x2 = 70.2785218066533

x3 = 36.5356284153996

x4 = 42.8188137225792

x5 = 95.4112630353717

x6 = 80.5179255656567

x7 = -95.4112630353717

x8 = -11.4028871866813

x9 = 63.9953364994738

x10 = -42.8188137225792

x11 = -5.11970187950169

x12 = -30.25244310822

x13 = 11.4028871866813

x14 = -93.0842961800159

x15 = -32.5794099635758

x16 = -61.668369644118

x17 = -74.2347402584771

x18 = -63.9953364994738

x19 = 57.7121511922942

x20 = 32.5794099635758

x21 = -1.1634834276779

x22 = 89.1280777281921

x23 = -23.9692578010404

x24 = 86.8011108728363

x25 = 30.25244310822

x26 = 76.5617071138329

x27 = 13.7298540420371

x28 = 55.3851843369384

x29 = 51.4289658851146

x30 = -76.5617071138329

x31 = 74.2347402584771

x32 = 7.44666873485748

x33 = 193.615261094889

x34 = 17.6860724938609

x35 = -99.3674814871955

x36 = -4397.06623159803

x37 = 26.2962246563962

x38 = -7.44666873485748

x39 = -20.0130393492167

x40 = -13.7298540420371

x41 = 67.9515549512976

x42 = 23.9692578010404

x43 = -36.5356284153996

x44 = 20.0130393492167

x45 = -26.2962246563962

x46 = -67.9515549512976

x47 = -45.145780577935

x48 = -86.8011108728363

x49 = -51.4289658851146

x50 = -17.6860724938609

x51 = -57.7121511922942

x52 = -80.5179255656567

x53 = -70.2785218066533

x54 = -55.3851843369384

x55 = 38.8625952707554

x56 = 82.8448924210125

x57 = 99.3674814871955

x58 = -168.482519866171

x59 = 61.668369644118

x59 = 61.668369644118

Otras calculadoras

¿Cómo usar?

Expresiones idénticas

Expresiones semejantes

Expresiones con funciones

cos(2x)+√(3)sin((pi/2)+x)=0 la ecuación

Solución numérica:

Solución