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Otras calculadoras
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- La ecuación:
- Ecuación x^2-49=0
-
Ecuación 1-x/2=x/3
-
Ecuación 3*x^2-9=0
-
Ecuación -8x-17=3x-105
- Expresar {x} en función de y en la ecuación:
- 4*x-1*y=-3
- -11*x+9*y=-20
- -19*x+14*y=20
- 5*x-14*y=-15
-
Expresiones idénticas
- z=ctg^ dos *(tres *x+ cinco *y)-e^(x*y)
- z es igual a ctg al cuadrado multiplicar por (3 multiplicar por x más 5 multiplicar por y) menos e en el grado (x multiplicar por y)
- z es igual a ctg en el grado dos multiplicar por (tres multiplicar por x más cinco multiplicar por y) menos e en el grado (x multiplicar por y)
- z=ctg2*(3*x+5*y)-e(x*y)
- z=ctg2*3*x+5*y-ex*y
- z=ctg²*(3*x+5*y)-e^(x*y)
- z=ctg en el grado 2*(3*x+5*y)-e en el grado (x*y)
- z=ctg^2(3x+5y)-e^(xy)
- z=ctg2(3x+5y)-e(xy)
- z=ctg23x+5y-exy
- z=ctg^23x+5y-e^xy
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Expresiones semejantes
- z=ctg^2*(3*x-5*y)-e^(x*y)
- z=ctg^2*(3*x+5*y)+e^(x*y)
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Expresiones con funciones
- ctg
- ctg(x)=-1
- ctg(x)=-5
- ctg(x)=√3
- ctg(-x+(5π/6))=-(1/√3)
- ctgx=1,8
z=ctg^2*(3*x+5*y)-e^(x*y) la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
2 x*y z = cot (3*x + 5*y) - E
$$z = - e^{x y} + \cot^{2}{\left(3 x + 5 y \right)}$$
Gráfica
Respuesta rápida
[src]
2 2
/ re(x*y) 2*sin(6*re(x) + 10*re(y))*sinh(6*im(x) + 10*im(y)) \ sin (6*re(x) + 10*re(y)) sinh (6*im(x) + 10*im(y)) re(x*y)
z1 = I*|- e *sin(im(x*y)) + ------------------------------------------------------| + ------------------------------------------------------ - ------------------------------------------------------ - cos(im(x*y))*e
| 2| 2 2
\ (-cosh(6*im(x) + 10*im(y)) + cos(6*re(x) + 10*re(y))) / (-cosh(6*im(x) + 10*im(y)) + cos(6*re(x) + 10*re(y))) (-cosh(6*im(x) + 10*im(y)) + cos(6*re(x) + 10*re(y)))
$$z_{1} = i \left(- e^{\operatorname{re}{\left(x y\right)}} \sin{\left(\operatorname{im}{\left(x y\right)} \right)} + \frac{2 \sin{\left(6 \operatorname{re}{\left(x\right)} + 10 \operatorname{re}{\left(y\right)} \right)} \sinh{\left(6 \operatorname{im}{\left(x\right)} + 10 \operatorname{im}{\left(y\right)} \right)}}{\left(\cos{\left(6 \operatorname{re}{\left(x\right)} + 10 \operatorname{re}{\left(y\right)} \right)} - \cosh{\left(6 \operatorname{im}{\left(x\right)} + 10 \operatorname{im}{\left(y\right)} \right)}\right)^{2}}\right) - e^{\operatorname{re}{\left(x y\right)}} \cos{\left(\operatorname{im}{\left(x y\right)} \right)} + \frac{\sin^{2}{\left(6 \operatorname{re}{\left(x\right)} + 10 \operatorname{re}{\left(y\right)} \right)}}{\left(\cos{\left(6 \operatorname{re}{\left(x\right)} + 10 \operatorname{re}{\left(y\right)} \right)} - \cosh{\left(6 \operatorname{im}{\left(x\right)} + 10 \operatorname{im}{\left(y\right)} \right)}\right)^{2}} - \frac{\sinh^{2}{\left(6 \operatorname{im}{\left(x\right)} + 10 \operatorname{im}{\left(y\right)} \right)}}{\left(\cos{\left(6 \operatorname{re}{\left(x\right)} + 10 \operatorname{re}{\left(y\right)} \right)} - \cosh{\left(6 \operatorname{im}{\left(x\right)} + 10 \operatorname{im}{\left(y\right)} \right)}\right)^{2}}$$
z1 = i*(-exp(re(x*y))*sin(im(x*y)) + 2*sin(6*re(x) + 10*re(y))*sinh(6*im(x) + 10*im(y))/(cos(6*re(x) + 10*re(y)) - cosh(6*im(x) + 10*im(y)))^2) - exp(re(x*y))*cos(im(x*y)) + sin(6*re(x) + 10*re(y))^2/(cos(6*re(x) + 10*re(y)) - cosh(6*im(x) + 10*im(y)))^2 - sinh(6*im(x) + 10*im(y))^2/(cos(6*re(x) + 10*re(y)) - cosh(6*im(x) + 10*im(y)))^2
Suma y producto de raíces
[src]
suma
2 2 / re(x*y) 2*sin(6*re(x) + 10*re(y))*sinh(6*im(x) + 10*im(y)) \ sin (6*re(x) + 10*re(y)) sinh (6*im(x) + 10*im(y)) re(x*y) I*|- e *sin(im(x*y)) + ------------------------------------------------------| + ------------------------------------------------------ - ------------------------------------------------------ - cos(im(x*y))*e | 2| 2 2 \ (-cosh(6*im(x) + 10*im(y)) + cos(6*re(x) + 10*re(y))) / (-cosh(6*im(x) + 10*im(y)) + cos(6*re(x) + 10*re(y))) (-cosh(6*im(x) + 10*im(y)) + cos(6*re(x) + 10*re(y)))
$$i \left(- e^{\operatorname{re}{\left(x y\right)}} \sin{\left(\operatorname{im}{\left(x y\right)} \right)} + \frac{2 \sin{\left(6 \operatorname{re}{\left(x\right)} + 10 \operatorname{re}{\left(y\right)} \right)} \sinh{\left(6 \operatorname{im}{\left(x\right)} + 10 \operatorname{im}{\left(y\right)} \right)}}{\left(\cos{\left(6 \operatorname{re}{\left(x\right)} + 10 \operatorname{re}{\left(y\right)} \right)} - \cosh{\left(6 \operatorname{im}{\left(x\right)} + 10 \operatorname{im}{\left(y\right)} \right)}\right)^{2}}\right) - e^{\operatorname{re}{\left(x y\right)}} \cos{\left(\operatorname{im}{\left(x y\right)} \right)} + \frac{\sin^{2}{\left(6 \operatorname{re}{\left(x\right)} + 10 \operatorname{re}{\left(y\right)} \right)}}{\left(\cos{\left(6 \operatorname{re}{\left(x\right)} + 10 \operatorname{re}{\left(y\right)} \right)} - \cosh{\left(6 \operatorname{im}{\left(x\right)} + 10 \operatorname{im}{\left(y\right)} \right)}\right)^{2}} - \frac{\sinh^{2}{\left(6 \operatorname{im}{\left(x\right)} + 10 \operatorname{im}{\left(y\right)} \right)}}{\left(\cos{\left(6 \operatorname{re}{\left(x\right)} + 10 \operatorname{re}{\left(y\right)} \right)} - \cosh{\left(6 \operatorname{im}{\left(x\right)} + 10 \operatorname{im}{\left(y\right)} \right)}\right)^{2}}$$
=
2 2 / re(x*y) 2*sin(6*re(x) + 10*re(y))*sinh(6*im(x) + 10*im(y)) \ sin (6*re(x) + 10*re(y)) sinh (6*im(x) + 10*im(y)) re(x*y) I*|- e *sin(im(x*y)) + ------------------------------------------------------| + ------------------------------------------------------ - ------------------------------------------------------ - cos(im(x*y))*e | 2| 2 2 \ (-cosh(6*im(x) + 10*im(y)) + cos(6*re(x) + 10*re(y))) / (-cosh(6*im(x) + 10*im(y)) + cos(6*re(x) + 10*re(y))) (-cosh(6*im(x) + 10*im(y)) + cos(6*re(x) + 10*re(y)))
$$i \left(- e^{\operatorname{re}{\left(x y\right)}} \sin{\left(\operatorname{im}{\left(x y\right)} \right)} + \frac{2 \sin{\left(6 \operatorname{re}{\left(x\right)} + 10 \operatorname{re}{\left(y\right)} \right)} \sinh{\left(6 \operatorname{im}{\left(x\right)} + 10 \operatorname{im}{\left(y\right)} \right)}}{\left(\cos{\left(6 \operatorname{re}{\left(x\right)} + 10 \operatorname{re}{\left(y\right)} \right)} - \cosh{\left(6 \operatorname{im}{\left(x\right)} + 10 \operatorname{im}{\left(y\right)} \right)}\right)^{2}}\right) - e^{\operatorname{re}{\left(x y\right)}} \cos{\left(\operatorname{im}{\left(x y\right)} \right)} + \frac{\sin^{2}{\left(6 \operatorname{re}{\left(x\right)} + 10 \operatorname{re}{\left(y\right)} \right)}}{\left(\cos{\left(6 \operatorname{re}{\left(x\right)} + 10 \operatorname{re}{\left(y\right)} \right)} - \cosh{\left(6 \operatorname{im}{\left(x\right)} + 10 \operatorname{im}{\left(y\right)} \right)}\right)^{2}} - \frac{\sinh^{2}{\left(6 \operatorname{im}{\left(x\right)} + 10 \operatorname{im}{\left(y\right)} \right)}}{\left(\cos{\left(6 \operatorname{re}{\left(x\right)} + 10 \operatorname{re}{\left(y\right)} \right)} - \cosh{\left(6 \operatorname{im}{\left(x\right)} + 10 \operatorname{im}{\left(y\right)} \right)}\right)^{2}}$$
producto
2 2 / re(x*y) 2*sin(6*re(x) + 10*re(y))*sinh(6*im(x) + 10*im(y)) \ sin (6*re(x) + 10*re(y)) sinh (6*im(x) + 10*im(y)) re(x*y) I*|- e *sin(im(x*y)) + ------------------------------------------------------| + ------------------------------------------------------ - ------------------------------------------------------ - cos(im(x*y))*e | 2| 2 2 \ (-cosh(6*im(x) + 10*im(y)) + cos(6*re(x) + 10*re(y))) / (-cosh(6*im(x) + 10*im(y)) + cos(6*re(x) + 10*re(y))) (-cosh(6*im(x) + 10*im(y)) + cos(6*re(x) + 10*re(y)))
$$i \left(- e^{\operatorname{re}{\left(x y\right)}} \sin{\left(\operatorname{im}{\left(x y\right)} \right)} + \frac{2 \sin{\left(6 \operatorname{re}{\left(x\right)} + 10 \operatorname{re}{\left(y\right)} \right)} \sinh{\left(6 \operatorname{im}{\left(x\right)} + 10 \operatorname{im}{\left(y\right)} \right)}}{\left(\cos{\left(6 \operatorname{re}{\left(x\right)} + 10 \operatorname{re}{\left(y\right)} \right)} - \cosh{\left(6 \operatorname{im}{\left(x\right)} + 10 \operatorname{im}{\left(y\right)} \right)}\right)^{2}}\right) - e^{\operatorname{re}{\left(x y\right)}} \cos{\left(\operatorname{im}{\left(x y\right)} \right)} + \frac{\sin^{2}{\left(6 \operatorname{re}{\left(x\right)} + 10 \operatorname{re}{\left(y\right)} \right)}}{\left(\cos{\left(6 \operatorname{re}{\left(x\right)} + 10 \operatorname{re}{\left(y\right)} \right)} - \cosh{\left(6 \operatorname{im}{\left(x\right)} + 10 \operatorname{im}{\left(y\right)} \right)}\right)^{2}} - \frac{\sinh^{2}{\left(6 \operatorname{im}{\left(x\right)} + 10 \operatorname{im}{\left(y\right)} \right)}}{\left(\cos{\left(6 \operatorname{re}{\left(x\right)} + 10 \operatorname{re}{\left(y\right)} \right)} - \cosh{\left(6 \operatorname{im}{\left(x\right)} + 10 \operatorname{im}{\left(y\right)} \right)}\right)^{2}}$$
=
/ 2 2 / 2 re(x*y) \ 2 re(x*y)\
-\sinh (6*im(x) + 10*im(y)) - sin (6*re(x) + 10*re(y)) + I*\-2*sin(6*re(x) + 10*re(y))*sinh(6*im(x) + 10*im(y)) + (-cosh(6*im(x) + 10*im(y)) + cos(6*re(x) + 10*re(y))) *e *sin(im(x*y))/ + (-cosh(6*im(x) + 10*im(y)) + cos(6*re(x) + 10*re(y))) *cos(im(x*y))*e /
--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
2
(-cosh(6*im(x) + 10*im(y)) + cos(6*re(x) + 10*re(y)))
$$- \frac{i \left(\left(\cos{\left(6 \operatorname{re}{\left(x\right)} + 10 \operatorname{re}{\left(y\right)} \right)} - \cosh{\left(6 \operatorname{im}{\left(x\right)} + 10 \operatorname{im}{\left(y\right)} \right)}\right)^{2} e^{\operatorname{re}{\left(x y\right)}} \sin{\left(\operatorname{im}{\left(x y\right)} \right)} - 2 \sin{\left(6 \operatorname{re}{\left(x\right)} + 10 \operatorname{re}{\left(y\right)} \right)} \sinh{\left(6 \operatorname{im}{\left(x\right)} + 10 \operatorname{im}{\left(y\right)} \right)}\right) + \left(\cos{\left(6 \operatorname{re}{\left(x\right)} + 10 \operatorname{re}{\left(y\right)} \right)} - \cosh{\left(6 \operatorname{im}{\left(x\right)} + 10 \operatorname{im}{\left(y\right)} \right)}\right)^{2} e^{\operatorname{re}{\left(x y\right)}} \cos{\left(\operatorname{im}{\left(x y\right)} \right)} - \sin^{2}{\left(6 \operatorname{re}{\left(x\right)} + 10 \operatorname{re}{\left(y\right)} \right)} + \sinh^{2}{\left(6 \operatorname{im}{\left(x\right)} + 10 \operatorname{im}{\left(y\right)} \right)}}{\left(\cos{\left(6 \operatorname{re}{\left(x\right)} + 10 \operatorname{re}{\left(y\right)} \right)} - \cosh{\left(6 \operatorname{im}{\left(x\right)} + 10 \operatorname{im}{\left(y\right)} \right)}\right)^{2}}$$
-(sinh(6*im(x) + 10*im(y))^2 - sin(6*re(x) + 10*re(y))^2 + i*(-2*sin(6*re(x) + 10*re(y))*sinh(6*im(x) + 10*im(y)) + (-cosh(6*im(x) + 10*im(y)) + cos(6*re(x) + 10*re(y)))^2*exp(re(x*y))*sin(im(x*y))) + (-cosh(6*im(x) + 10*im(y)) + cos(6*re(x) + 10*re(y)))^2*cos(im(x*y))*exp(re(x*y)))/(-cosh(6*im(x) + 10*im(y)) + cos(6*re(x) + 10*re(y)))^2