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Otras calculadoras
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¿Cómo usar?
- 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
- Derivada de:
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arctg(1/x)
- Gráfico de la función y =:
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arctg(1/x)
- Integral de d{x}:
- arctg(1/x)
-
Expresiones idénticas
- arctg(uno /x)=O(uno)
- arctg(1 dividir por x) es igual a O(1)
- arctg(uno dividir por x) es igual a O(uno)
- arctg1/x=O1
- arctg(1 dividir por x)=O(1)
-
Expresiones con funciones
- arctg
- arctg-0,63050=0
- Arctg2x+arctgx+0.02x=-3.14
- arctg*x=arctg*y
- arctg(x)=1
- arctg(x)=pi/3
arctg(1/x)=O(1) la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Gráfica
Respuesta rápida
[src]
sin(2*re(o)) I*sinh(2*im(o))
x1 = -------------------------------------------------------------------------------------------------- - --------------------------------------------------------------------------------------------------
/ 2 2 \ / 2 2 \
| sin (2*re(o)) sinh (2*im(o)) | | sin (2*re(o)) sinh (2*im(o)) |
|------------------------------- + -------------------------------|*(cos(2*re(o)) + cosh(2*im(o))) |------------------------------- + -------------------------------|*(cos(2*re(o)) + cosh(2*im(o)))
| 2 2| | 2 2|
\(cos(2*re(o)) + cosh(2*im(o))) (cos(2*re(o)) + cosh(2*im(o))) / \(cos(2*re(o)) + cosh(2*im(o))) (cos(2*re(o)) + cosh(2*im(o))) /
$$x_{1} = \frac{\sin{\left(2 \operatorname{re}{\left(o\right)} \right)}}{\left(\frac{\sin^{2}{\left(2 \operatorname{re}{\left(o\right)} \right)}}{\left(\cos{\left(2 \operatorname{re}{\left(o\right)} \right)} + \cosh{\left(2 \operatorname{im}{\left(o\right)} \right)}\right)^{2}} + \frac{\sinh^{2}{\left(2 \operatorname{im}{\left(o\right)} \right)}}{\left(\cos{\left(2 \operatorname{re}{\left(o\right)} \right)} + \cosh{\left(2 \operatorname{im}{\left(o\right)} \right)}\right)^{2}}\right) \left(\cos{\left(2 \operatorname{re}{\left(o\right)} \right)} + \cosh{\left(2 \operatorname{im}{\left(o\right)} \right)}\right)} - \frac{i \sinh{\left(2 \operatorname{im}{\left(o\right)} \right)}}{\left(\frac{\sin^{2}{\left(2 \operatorname{re}{\left(o\right)} \right)}}{\left(\cos{\left(2 \operatorname{re}{\left(o\right)} \right)} + \cosh{\left(2 \operatorname{im}{\left(o\right)} \right)}\right)^{2}} + \frac{\sinh^{2}{\left(2 \operatorname{im}{\left(o\right)} \right)}}{\left(\cos{\left(2 \operatorname{re}{\left(o\right)} \right)} + \cosh{\left(2 \operatorname{im}{\left(o\right)} \right)}\right)^{2}}\right) \left(\cos{\left(2 \operatorname{re}{\left(o\right)} \right)} + \cosh{\left(2 \operatorname{im}{\left(o\right)} \right)}\right)}$$
x1 = sin(2*re(o))/((sin(2*re(o))^2/(cos(2*re(o)) + cosh(2*im(o)))^2 + sinh(2*im(o))^2/(cos(2*re(o)) + cosh(2*im(o)))^2)*(cos(2*re(o)) + cosh(2*im(o)))) - i*sinh(2*im(o))/((sin(2*re(o))^2/(cos(2*re(o)) + cosh(2*im(o)))^2 + sinh(2*im(o))^2/(cos(2*re(o)) + cosh(2*im(o)))^2)*(cos(2*re(o)) + cosh(2*im(o))))
Suma y producto de raíces
[src]
suma
sin(2*re(o)) I*sinh(2*im(o)) -------------------------------------------------------------------------------------------------- - -------------------------------------------------------------------------------------------------- / 2 2 \ / 2 2 \ | sin (2*re(o)) sinh (2*im(o)) | | sin (2*re(o)) sinh (2*im(o)) | |------------------------------- + -------------------------------|*(cos(2*re(o)) + cosh(2*im(o))) |------------------------------- + -------------------------------|*(cos(2*re(o)) + cosh(2*im(o))) | 2 2| | 2 2| \(cos(2*re(o)) + cosh(2*im(o))) (cos(2*re(o)) + cosh(2*im(o))) / \(cos(2*re(o)) + cosh(2*im(o))) (cos(2*re(o)) + cosh(2*im(o))) /
$$\frac{\sin{\left(2 \operatorname{re}{\left(o\right)} \right)}}{\left(\frac{\sin^{2}{\left(2 \operatorname{re}{\left(o\right)} \right)}}{\left(\cos{\left(2 \operatorname{re}{\left(o\right)} \right)} + \cosh{\left(2 \operatorname{im}{\left(o\right)} \right)}\right)^{2}} + \frac{\sinh^{2}{\left(2 \operatorname{im}{\left(o\right)} \right)}}{\left(\cos{\left(2 \operatorname{re}{\left(o\right)} \right)} + \cosh{\left(2 \operatorname{im}{\left(o\right)} \right)}\right)^{2}}\right) \left(\cos{\left(2 \operatorname{re}{\left(o\right)} \right)} + \cosh{\left(2 \operatorname{im}{\left(o\right)} \right)}\right)} - \frac{i \sinh{\left(2 \operatorname{im}{\left(o\right)} \right)}}{\left(\frac{\sin^{2}{\left(2 \operatorname{re}{\left(o\right)} \right)}}{\left(\cos{\left(2 \operatorname{re}{\left(o\right)} \right)} + \cosh{\left(2 \operatorname{im}{\left(o\right)} \right)}\right)^{2}} + \frac{\sinh^{2}{\left(2 \operatorname{im}{\left(o\right)} \right)}}{\left(\cos{\left(2 \operatorname{re}{\left(o\right)} \right)} + \cosh{\left(2 \operatorname{im}{\left(o\right)} \right)}\right)^{2}}\right) \left(\cos{\left(2 \operatorname{re}{\left(o\right)} \right)} + \cosh{\left(2 \operatorname{im}{\left(o\right)} \right)}\right)}$$
=
sin(2*re(o)) I*sinh(2*im(o)) -------------------------------------------------------------------------------------------------- - -------------------------------------------------------------------------------------------------- / 2 2 \ / 2 2 \ | sin (2*re(o)) sinh (2*im(o)) | | sin (2*re(o)) sinh (2*im(o)) | |------------------------------- + -------------------------------|*(cos(2*re(o)) + cosh(2*im(o))) |------------------------------- + -------------------------------|*(cos(2*re(o)) + cosh(2*im(o))) | 2 2| | 2 2| \(cos(2*re(o)) + cosh(2*im(o))) (cos(2*re(o)) + cosh(2*im(o))) / \(cos(2*re(o)) + cosh(2*im(o))) (cos(2*re(o)) + cosh(2*im(o))) /
$$\frac{\sin{\left(2 \operatorname{re}{\left(o\right)} \right)}}{\left(\frac{\sin^{2}{\left(2 \operatorname{re}{\left(o\right)} \right)}}{\left(\cos{\left(2 \operatorname{re}{\left(o\right)} \right)} + \cosh{\left(2 \operatorname{im}{\left(o\right)} \right)}\right)^{2}} + \frac{\sinh^{2}{\left(2 \operatorname{im}{\left(o\right)} \right)}}{\left(\cos{\left(2 \operatorname{re}{\left(o\right)} \right)} + \cosh{\left(2 \operatorname{im}{\left(o\right)} \right)}\right)^{2}}\right) \left(\cos{\left(2 \operatorname{re}{\left(o\right)} \right)} + \cosh{\left(2 \operatorname{im}{\left(o\right)} \right)}\right)} - \frac{i \sinh{\left(2 \operatorname{im}{\left(o\right)} \right)}}{\left(\frac{\sin^{2}{\left(2 \operatorname{re}{\left(o\right)} \right)}}{\left(\cos{\left(2 \operatorname{re}{\left(o\right)} \right)} + \cosh{\left(2 \operatorname{im}{\left(o\right)} \right)}\right)^{2}} + \frac{\sinh^{2}{\left(2 \operatorname{im}{\left(o\right)} \right)}}{\left(\cos{\left(2 \operatorname{re}{\left(o\right)} \right)} + \cosh{\left(2 \operatorname{im}{\left(o\right)} \right)}\right)^{2}}\right) \left(\cos{\left(2 \operatorname{re}{\left(o\right)} \right)} + \cosh{\left(2 \operatorname{im}{\left(o\right)} \right)}\right)}$$
producto
sin(2*re(o)) I*sinh(2*im(o)) -------------------------------------------------------------------------------------------------- - -------------------------------------------------------------------------------------------------- / 2 2 \ / 2 2 \ | sin (2*re(o)) sinh (2*im(o)) | | sin (2*re(o)) sinh (2*im(o)) | |------------------------------- + -------------------------------|*(cos(2*re(o)) + cosh(2*im(o))) |------------------------------- + -------------------------------|*(cos(2*re(o)) + cosh(2*im(o))) | 2 2| | 2 2| \(cos(2*re(o)) + cosh(2*im(o))) (cos(2*re(o)) + cosh(2*im(o))) / \(cos(2*re(o)) + cosh(2*im(o))) (cos(2*re(o)) + cosh(2*im(o))) /
$$\frac{\sin{\left(2 \operatorname{re}{\left(o\right)} \right)}}{\left(\frac{\sin^{2}{\left(2 \operatorname{re}{\left(o\right)} \right)}}{\left(\cos{\left(2 \operatorname{re}{\left(o\right)} \right)} + \cosh{\left(2 \operatorname{im}{\left(o\right)} \right)}\right)^{2}} + \frac{\sinh^{2}{\left(2 \operatorname{im}{\left(o\right)} \right)}}{\left(\cos{\left(2 \operatorname{re}{\left(o\right)} \right)} + \cosh{\left(2 \operatorname{im}{\left(o\right)} \right)}\right)^{2}}\right) \left(\cos{\left(2 \operatorname{re}{\left(o\right)} \right)} + \cosh{\left(2 \operatorname{im}{\left(o\right)} \right)}\right)} - \frac{i \sinh{\left(2 \operatorname{im}{\left(o\right)} \right)}}{\left(\frac{\sin^{2}{\left(2 \operatorname{re}{\left(o\right)} \right)}}{\left(\cos{\left(2 \operatorname{re}{\left(o\right)} \right)} + \cosh{\left(2 \operatorname{im}{\left(o\right)} \right)}\right)^{2}} + \frac{\sinh^{2}{\left(2 \operatorname{im}{\left(o\right)} \right)}}{\left(\cos{\left(2 \operatorname{re}{\left(o\right)} \right)} + \cosh{\left(2 \operatorname{im}{\left(o\right)} \right)}\right)^{2}}\right) \left(\cos{\left(2 \operatorname{re}{\left(o\right)} \right)} + \cosh{\left(2 \operatorname{im}{\left(o\right)} \right)}\right)}$$
=
cos(2*re(o)) + cosh(2*im(o)) ------------------------------ I*sinh(2*im(o)) + sin(2*re(o))
$$\frac{\cos{\left(2 \operatorname{re}{\left(o\right)} \right)} + \cosh{\left(2 \operatorname{im}{\left(o\right)} \right)}}{\sin{\left(2 \operatorname{re}{\left(o\right)} \right)} + i \sinh{\left(2 \operatorname{im}{\left(o\right)} \right)}}$$
(cos(2*re(o)) + cosh(2*im(o)))/(i*sinh(2*im(o)) + sin(2*re(o)))