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- La ecuación:
-
Ecuación -x-2+3*(x-3)=3*(4-x)-3
-
Ecuación 2x=18-x
-
Ecuación tan(x)=-1
-
Ecuación 17x-8=20x+7
- Expresar {x} en función de y en la ecuación:
- 9*x-4*y=2
- 14*x+16*y=14
- -1*x+17*y=-12
- 15*x+15*y=16
- Gráfico de la función y =:
- sin(x)^3+cos(x)^3
-
Expresiones idénticas
- sin(x)^ tres +cos(x)^ tres = cero
- seno de (x) al cubo más coseno de (x) al cubo es igual a 0
- seno de (x) en el grado tres más coseno de (x) en el grado tres es igual a cero
- sin(x)3+cos(x)3=0
- sinx3+cosx3=0
- sin(x)³+cos(x)³=0
- sin(x) en el grado 3+cos(x) en el grado 3=0
- sinx^3+cosx^3=0
- sin(x)^3+cos(x)^3=O
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Expresiones semejantes
- sin(x)^3-cos(x)^3=0
- sinx^3+cosx^3=0
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Expresiones con funciones
- Seno sin
- sin(2*x)=0
- sin(pi*x)=1
- sin(x)-cos(x)=0
- sin(3x)=1/2
- sinx-cosx=1/2
- Coseno cos
- cos(4*x)=sqrt(3)/2
- cosz=2
- cosx=-6/5
- cosx/2+1=0
- cos^2(x)-3*sin^2(x)=0
sin(x)^3+cos(x)^3=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
3 3 sin (x) + cos (x) = 0
$$\sin^{3}{\left(x \right)} + \cos^{3}{\left(x \right)} = 0$$
Respuesta rápida
[src]
-pi
x1 = ----
4
$$x_{1} = - \frac{\pi}{4}$$
/ / ___\\ / / ___\\
| |1 I*\/ 3 || | |1 I*\/ 3 ||
x2 = I*im|atan|- - -------|| + re|atan|- - -------||
\ \2 2 // \ \2 2 //
$$x_{2} = \operatorname{re}{\left(\operatorname{atan}{\left(\frac{1}{2} - \frac{\sqrt{3} i}{2} \right)}\right)} + i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{1}{2} - \frac{\sqrt{3} i}{2} \right)}\right)}$$
/ / ___\\ / / ___\\
| |1 I*\/ 3 || | |1 I*\/ 3 ||
x3 = I*im|atan|- + -------|| + re|atan|- + -------||
\ \2 2 // \ \2 2 //
$$x_{3} = \operatorname{re}{\left(\operatorname{atan}{\left(\frac{1}{2} + \frac{\sqrt{3} i}{2} \right)}\right)} + i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{1}{2} + \frac{\sqrt{3} i}{2} \right)}\right)}$$
x3 = re(atan(1/2 + sqrt(3)*i/2)) + i*im(atan(1/2 + sqrt(3)*i/2))
Suma y producto de raíces
[src]
suma
/ / ___\\ / / ___\\ / / ___\\ / / ___\\ pi | |1 I*\/ 3 || | |1 I*\/ 3 || | |1 I*\/ 3 || | |1 I*\/ 3 || - -- + I*im|atan|- - -------|| + re|atan|- - -------|| + I*im|atan|- + -------|| + re|atan|- + -------|| 4 \ \2 2 // \ \2 2 // \ \2 2 // \ \2 2 //
$$\left(- \frac{\pi}{4} + \left(\operatorname{re}{\left(\operatorname{atan}{\left(\frac{1}{2} - \frac{\sqrt{3} i}{2} \right)}\right)} + i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{1}{2} - \frac{\sqrt{3} i}{2} \right)}\right)}\right)\right) + \left(\operatorname{re}{\left(\operatorname{atan}{\left(\frac{1}{2} + \frac{\sqrt{3} i}{2} \right)}\right)} + i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{1}{2} + \frac{\sqrt{3} i}{2} \right)}\right)}\right)$$
=
/ / ___\\ / / ___\\ / / ___\\ / / ___\\ pi | |1 I*\/ 3 || | |1 I*\/ 3 || | |1 I*\/ 3 || | |1 I*\/ 3 || - -- + I*im|atan|- + -------|| + I*im|atan|- - -------|| + re|atan|- + -------|| + re|atan|- - -------|| 4 \ \2 2 // \ \2 2 // \ \2 2 // \ \2 2 //
$$- \frac{\pi}{4} + \operatorname{re}{\left(\operatorname{atan}{\left(\frac{1}{2} + \frac{\sqrt{3} i}{2} \right)}\right)} + \operatorname{re}{\left(\operatorname{atan}{\left(\frac{1}{2} - \frac{\sqrt{3} i}{2} \right)}\right)} + i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{1}{2} - \frac{\sqrt{3} i}{2} \right)}\right)} + i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{1}{2} + \frac{\sqrt{3} i}{2} \right)}\right)}$$
producto
/ / / ___\\ / / ___\\\ / / / ___\\ / / ___\\\ -pi | | |1 I*\/ 3 || | |1 I*\/ 3 ||| | | |1 I*\/ 3 || | |1 I*\/ 3 ||| ----*|I*im|atan|- - -------|| + re|atan|- - -------|||*|I*im|atan|- + -------|| + re|atan|- + -------||| 4 \ \ \2 2 // \ \2 2 /// \ \ \2 2 // \ \2 2 ///
$$- \frac{\pi}{4} \left(\operatorname{re}{\left(\operatorname{atan}{\left(\frac{1}{2} - \frac{\sqrt{3} i}{2} \right)}\right)} + i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{1}{2} - \frac{\sqrt{3} i}{2} \right)}\right)}\right) \left(\operatorname{re}{\left(\operatorname{atan}{\left(\frac{1}{2} + \frac{\sqrt{3} i}{2} \right)}\right)} + i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{1}{2} + \frac{\sqrt{3} i}{2} \right)}\right)}\right)$$
=
/ / / ___\\ / / ___\\\ / / / ___\\ / / ___\\\
| | |1 I*\/ 3 || | |1 I*\/ 3 ||| | | |1 I*\/ 3 || | |1 I*\/ 3 |||
-pi*|I*im|atan|- + -------|| + re|atan|- + -------|||*|I*im|atan|- - -------|| + re|atan|- - -------|||
\ \ \2 2 // \ \2 2 /// \ \ \2 2 // \ \2 2 ///
--------------------------------------------------------------------------------------------------------
4
$$- \frac{\pi \left(\operatorname{re}{\left(\operatorname{atan}{\left(\frac{1}{2} - \frac{\sqrt{3} i}{2} \right)}\right)} + i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{1}{2} - \frac{\sqrt{3} i}{2} \right)}\right)}\right) \left(\operatorname{re}{\left(\operatorname{atan}{\left(\frac{1}{2} + \frac{\sqrt{3} i}{2} \right)}\right)} + i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{1}{2} + \frac{\sqrt{3} i}{2} \right)}\right)}\right)}{4}$$
-pi*(i*im(atan(1/2 + i*sqrt(3)/2)) + re(atan(1/2 + i*sqrt(3)/2)))*(i*im(atan(1/2 - i*sqrt(3)/2)) + re(atan(1/2 - i*sqrt(3)/2)))/4
Respuesta numérica
[src]
x1 = 1262.1348485797
x2 = 40.0553063332699
x3 = 2.35619449019234
x4 = 74.6128255227576
x5 = -3.92699081698724
x6 = -16.4933614313464
x7 = -82.4668071567321
x8 = 71.4712328691678
x9 = -3902.64347392192
x10 = 8.63937979737193
x11 = -13.3517687777566
x12 = -32.2013246992954
x13 = -44.7676953136546
x14 = -204.988920646734
x15 = -85.6083998103219
x16 = -98.174770424681
x17 = 33.7721210260903
x18 = 99.7455667514759
x19 = -54.1924732744239
x20 = 77.7544181763474
x21 = -57.3340659280137
x22 = -79.3252145031423
x23 = -76.1836218495525
x24 = 80.8960108299372
x25 = 11.7809724509617
x26 = 150.011049208913
x27 = 30.6305283725005
x28 = -47.9092879672443
x29 = 84.037603483527
x30 = -38.484510006475
x31 = -60.4756585816035
x32 = -41.6261026600648
x33 = 96.6039740978861
x34 = -91.8915851175014
x35 = -69.9004365423729
x36 = -63.6172512351933
x37 = 68.329640215578
x38 = 52.621676947629
x39 = -25.9181393921158
x40 = -35.3429173528852
x41 = 46.3384916404494
x42 = 5.49778714378214
x43 = 18.0641577581413
x44 = -19.6349540849362
x45 = 90.3207887907066
x46 = -10.2101761241668
x47 = 24.3473430653209
x48 = 55.7632696012188
x49 = 62.0464549083984
x50 = 36.9137136796801
x51 = 58.9048622548086
x51 = 58.9048622548086
Gráfico