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- La ecuación:
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Ecuación (x-3)*(x+2)=0
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Ecuación z^2-6*z+10=0
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Ecuación 4/(x-4)=-5
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Ecuación (x-6)^2=-24*x
- Expresar {x} en función de y en la ecuación:
- -7*x-13*y=5
- 15*x+1*y=19
- 7*x-1*y=-7
- -14*x-12*y=5
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Expresiones idénticas
- y- uno /cos(x)= cero
- y menos 1 dividir por coseno de (x) es igual a 0
- y menos uno dividir por coseno de (x) es igual a cero
- y-1/cosx=0
- y-1/cos(x)=O
- y-1 dividir por cos(x)=0
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Expresiones semejantes
- y+1/cos(x)=0
- y-1/cosx=0
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Expresiones con funciones
- Coseno cos
- cos(x)^2=cos(x)
- cos^2(x)=1
- cos(4*x)=0
- cos(pi*x)=-1
- cos(x)=x^2+1
y-1/cos(x)=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Solución detallada
Tenemos la ecuación:
$$y - \frac{1}{\cos{\left(x \right)}} = 0$$
cambiamos:
$$y - \frac{1}{\cos{\left(x \right)}} = 0$$
Abrimos los paréntesis en el miembro izquierdo de la ecuación
Dividamos ambos miembros de la ecuación en (y - 1/cos(x))/y
Obtenemos la respuesta: y = 1/cos(x)
$$y - \frac{1}{\cos{\left(x \right)}} = 0$$
cambiamos:
$$y - \frac{1}{\cos{\left(x \right)}} = 0$$
Abrimos los paréntesis en el miembro izquierdo de la ecuación
y - 1/cosx = 0
Dividamos ambos miembros de la ecuación en (y - 1/cos(x))/y
y = 0 / ((y - 1/cos(x))/y)
Obtenemos la respuesta: y = 1/cos(x)
Gráfica
Respuesta rápida
[src]
cos(re(x))*cosh(im(x)) I*sin(re(x))*sinh(im(x))
y1 = --------------------------------------------------- + ---------------------------------------------------
2 2 2 2 2 2 2 2
cos (re(x))*cosh (im(x)) + sin (re(x))*sinh (im(x)) cos (re(x))*cosh (im(x)) + sin (re(x))*sinh (im(x))
$$y_{1} = \frac{i \sin{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)}}{\sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)} + \cos^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \cosh^{2}{\left(\operatorname{im}{\left(x\right)} \right)}} + \frac{\cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)}}{\sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)} + \cos^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \cosh^{2}{\left(\operatorname{im}{\left(x\right)} \right)}}$$
y1 = i*sin(re(x))*sinh(im(x))/(sin(re(x))^2*sinh(im(x))^2 + cos(re(x))^2*cosh(im(x))^2) + cos(re(x))*cosh(im(x))/(sin(re(x))^2*sinh(im(x))^2 + cos(re(x))^2*cosh(im(x))^2)
Suma y producto de raíces
[src]
suma
cos(re(x))*cosh(im(x)) I*sin(re(x))*sinh(im(x)) --------------------------------------------------- + --------------------------------------------------- 2 2 2 2 2 2 2 2 cos (re(x))*cosh (im(x)) + sin (re(x))*sinh (im(x)) cos (re(x))*cosh (im(x)) + sin (re(x))*sinh (im(x))
$$\frac{i \sin{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)}}{\sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)} + \cos^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \cosh^{2}{\left(\operatorname{im}{\left(x\right)} \right)}} + \frac{\cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)}}{\sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)} + \cos^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \cosh^{2}{\left(\operatorname{im}{\left(x\right)} \right)}}$$
=
cos(re(x))*cosh(im(x)) I*sin(re(x))*sinh(im(x)) --------------------------------------------------- + --------------------------------------------------- 2 2 2 2 2 2 2 2 cos (re(x))*cosh (im(x)) + sin (re(x))*sinh (im(x)) cos (re(x))*cosh (im(x)) + sin (re(x))*sinh (im(x))
$$\frac{i \sin{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)}}{\sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)} + \cos^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \cosh^{2}{\left(\operatorname{im}{\left(x\right)} \right)}} + \frac{\cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)}}{\sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)} + \cos^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \cosh^{2}{\left(\operatorname{im}{\left(x\right)} \right)}}$$
producto
cos(re(x))*cosh(im(x)) I*sin(re(x))*sinh(im(x)) --------------------------------------------------- + --------------------------------------------------- 2 2 2 2 2 2 2 2 cos (re(x))*cosh (im(x)) + sin (re(x))*sinh (im(x)) cos (re(x))*cosh (im(x)) + sin (re(x))*sinh (im(x))
$$\frac{i \sin{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)}}{\sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)} + \cos^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \cosh^{2}{\left(\operatorname{im}{\left(x\right)} \right)}} + \frac{\cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)}}{\sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)} + \cos^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \cosh^{2}{\left(\operatorname{im}{\left(x\right)} \right)}}$$
=
-1 -------------------------------------------------- -cos(re(x))*cosh(im(x)) + I*sin(re(x))*sinh(im(x))
$$- \frac{1}{i \sin{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} - \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)}}$$
-1/(-cos(re(x))*cosh(im(x)) + i*sin(re(x))*sinh(im(x)))