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Otras calculadoras
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- La ecuación:
-
Ecuación 5x+15=x-1
-
Ecuación 3x^2=0
- Ecuación x^2-49=0
-
Ecuación 1-x/2=x/3
- Expresar {x} en función de y en la ecuación:
- 4*x-1*y=-3
- -11*x+9*y=-20
- 9*x+17*y=13
- -19*x+14*y=20
-
Expresiones idénticas
- uno /(cos(x))-(tg(x))y
- 1 dividir por ( coseno de (x)) menos (tg(x))y
- uno dividir por ( coseno de (x)) menos (tg(x))y
- 1/cosx-tgxy
- 1 dividir por (cos(x))-(tg(x))y
-
Expresiones semejantes
- 1/(cos(x))+(tg(x))y
- 1/(cosx)-(tg(x))y
-
Expresiones con funciones
- Coseno cos
- cos(x)=-x+pi/2
- cos(x^2)=1
- cos(x/8+pi/4)=1
- cos(x)=1
- cos^2(x)=-1
- tg
- tg2πx9+4sin2πx9−6=0,
- tg2x-ctg3x=0
- tg(t)=(x)/(2)
- tg(x)=sqrt3/2
- tg(x)=-2/5
1/(cos(x))-(tg(x))y la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
1 ------ - tan(x)*y = 0 cos(x)
$$- y \tan{\left(x \right)} + \frac{1}{\cos{\left(x \right)}} = 0$$
Resolución de la ecuación paramétrica
Se da la ecuación con parámetro:
$$- y \tan{\left(x \right)} + \frac{1}{\cos{\left(x \right)}} = 0$$
Коэффициент при y равен
$$- \tan{\left(x \right)}$$
entonces son posibles los casos para x :
$$x < 0$$
$$x = 0$$
Consideremos todos los casos con detalles:
Con
$$x < 0$$
la ecuación será
$$y \tan{\left(1 \right)} + \frac{1}{\cos{\left(1 \right)}} = 0$$
su solución
$$y = - \frac{1}{\sin{\left(1 \right)}}$$
Con
$$x = 0$$
la ecuación será
$$1 = 0$$
su solución
no hay soluciones
$$- y \tan{\left(x \right)} + \frac{1}{\cos{\left(x \right)}} = 0$$
Коэффициент при y равен
$$- \tan{\left(x \right)}$$
entonces son posibles los casos para x :
$$x < 0$$
$$x = 0$$
Consideremos todos los casos con detalles:
Con
$$x < 0$$
la ecuación será
$$y \tan{\left(1 \right)} + \frac{1}{\cos{\left(1 \right)}} = 0$$
su solución
$$y = - \frac{1}{\sin{\left(1 \right)}}$$
Con
$$x = 0$$
la ecuación será
$$1 = 0$$
su solución
no hay soluciones
Gráfica
Suma y producto de raíces
[src]
suma
cosh(im(x))*sin(re(x)) I*cos(re(x))*sinh(im(x)) --------------------------------------------------- - --------------------------------------------------- 2 2 2 2 2 2 2 2 cos (re(x))*sinh (im(x)) + cosh (im(x))*sin (re(x)) cos (re(x))*sinh (im(x)) + cosh (im(x))*sin (re(x))
$$\frac{\sin{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)}}{\sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \cosh^{2}{\left(\operatorname{im}{\left(x\right)} \right)} + \cos^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)}} - \frac{i \cos{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)}}{\sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \cosh^{2}{\left(\operatorname{im}{\left(x\right)} \right)} + \cos^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)}}$$
=
cosh(im(x))*sin(re(x)) I*cos(re(x))*sinh(im(x)) --------------------------------------------------- - --------------------------------------------------- 2 2 2 2 2 2 2 2 cos (re(x))*sinh (im(x)) + cosh (im(x))*sin (re(x)) cos (re(x))*sinh (im(x)) + cosh (im(x))*sin (re(x))
$$\frac{\sin{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)}}{\sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \cosh^{2}{\left(\operatorname{im}{\left(x\right)} \right)} + \cos^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)}} - \frac{i \cos{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)}}{\sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \cosh^{2}{\left(\operatorname{im}{\left(x\right)} \right)} + \cos^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)}}$$
producto
cosh(im(x))*sin(re(x)) I*cos(re(x))*sinh(im(x)) --------------------------------------------------- - --------------------------------------------------- 2 2 2 2 2 2 2 2 cos (re(x))*sinh (im(x)) + cosh (im(x))*sin (re(x)) cos (re(x))*sinh (im(x)) + cosh (im(x))*sin (re(x))
$$\frac{\sin{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)}}{\sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \cosh^{2}{\left(\operatorname{im}{\left(x\right)} \right)} + \cos^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)}} - \frac{i \cos{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)}}{\sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \cosh^{2}{\left(\operatorname{im}{\left(x\right)} \right)} + \cos^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)}}$$
=
1 ------------------------------------------------- cosh(im(x))*sin(re(x)) + I*cos(re(x))*sinh(im(x))
$$\frac{1}{\sin{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + i \cos{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)}}$$
1/(cosh(im(x))*sin(re(x)) + i*cos(re(x))*sinh(im(x)))
Respuesta rápida
[src]
cosh(im(x))*sin(re(x)) I*cos(re(x))*sinh(im(x))
y1 = --------------------------------------------------- - ---------------------------------------------------
2 2 2 2 2 2 2 2
cos (re(x))*sinh (im(x)) + cosh (im(x))*sin (re(x)) cos (re(x))*sinh (im(x)) + cosh (im(x))*sin (re(x))
$$y_{1} = \frac{\sin{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)}}{\sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \cosh^{2}{\left(\operatorname{im}{\left(x\right)} \right)} + \cos^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)}} - \frac{i \cos{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)}}{\sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \cosh^{2}{\left(\operatorname{im}{\left(x\right)} \right)} + \cos^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)}}$$
y1 = sin(re(x))*cosh(im(x))/(sin(re(x))^2*cosh(im(x))^2 + cos(re(x))^2*sinh(im(x))^2) - i*cos(re(x))*sinh(im(x))/(sin(re(x))^2*cosh(im(x))^2 + cos(re(x))^2*sinh(im(x))^2)