Sr Examen
Otras calculadoras
-
¿Cómo usar?
- ¿cómo vas a descomponer esta expresión en fracciones?:
- (x*(x-1)^2)^(1/3)*((x-1)^2/3+x*(-2+2*x)/3)/(x*(x-1)^2)
- (m^2-1)/(m+1)
- (z-x)/(r/(m/(r*r)))
- ((z^2-z)/(z^2-9))^-1/(z^2-3*z)/(z-1)
- Factorizar el polinomio:
- z^2-6*z+10
- z^2+d/z-2
- z^3+3*z^2+z-5
- z^3+3*z^2+4*z+12
- Descomponer al cuadrado:
- y^4-y^2+9
- -y^4+y^2+8
- -y^4-y^2-3
- y^4+y^2-15
- Límite de la función:
-
(sin(x)/x)^(1/(1-cos(x)))
-
Expresiones idénticas
- (sin(x)/x)^(uno /(uno -cos(x)))
- ( seno de (x) dividir por x) en el grado (1 dividir por (1 menos coseno de (x)))
- ( seno de (x) dividir por x) en el grado (uno dividir por (uno menos coseno de (x)))
- (sin(x)/x)(1/(1-cos(x)))
- sinx/x1/1-cosx
- sinx/x^1/1-cosx
- (sin(x) dividir por x)^(1 dividir por (1-cos(x)))
-
Expresiones semejantes
- (sin(x)/x)^(1/(1+cos(x)))
- (sinx/x)^(1/(1-cosx))
-
Expresiones con funciones
- Seno sin
- sin(2*x)/((13*sin(x)))
- sin(tan(x))/(1+x^2)+(1+tan(x)^2)*atan(x)*cos(tan(x))
- sin(2*x)/((2*cos(2*x)))
- sin10/(2*cos5)
- sin^2(x)-cos^2(x)+cos^4(x)/(cos^2(x)-sin^2(x)+sin^4(x))
- Coseno cos
- cos((\pi)/(2)+a)cos(\pi-a)+sin((3\pi)/(2)+a)sin(\pi+a)
- cos^2a/(1+sina)
- cos(a-b)*b/((sin(a)*sin(a)))-1
- cos2x-sin^2/(2sin^2-cosx)
- cos(x)/(2*sqrt(x))-sqrt(x)*sin(x)
¿Cómo vas a descomponer esta (sin(x)/x)^(1/(1-cos(x))) expresión en fracciones?
Solución
Ha introducido
[src]
1
----------
1 - cos(x)
/sin(x)\
|------|
\ x /
$$\left(\frac{\sin{\left(x \right)}}{x}\right)^{\frac{1}{1 - \cos{\left(x \right)}}}$$
(sin(x)/x)^(1/(1 - cos(x)))
Descomposición de una fracción
[src]
(sin(x)/x)^(1/(1 - cos(x)))
$$\left(\frac{\sin{\left(x \right)}}{x}\right)^{\frac{1}{1 - \cos{\left(x \right)}}}$$
1
----------
1 - cos(x)
/sin(x)\
|------|
\ x /
Simplificación general
[src]
-1
-----------
-1 + cos(x)
/sin(x)\
|------|
\ x /
$$\left(\frac{\sin{\left(x \right)}}{x}\right)^{- \frac{1}{\cos{\left(x \right)} - 1}}$$
(sin(x)/x)^(-1/(-1 + cos(x)))
Potencias
[src]
1
----------------
I*x -I*x
e e
1 - ---- - -----
2 2
/ / -I*x I*x\ \
|-I*\- e + e / |
|--------------------|
\ 2*x /
$$\left(- \frac{i \left(e^{i x} - e^{- i x}\right)}{2 x}\right)^{\frac{1}{- \frac{e^{i x}}{2} + 1 - \frac{e^{- i x}}{2}}}$$
(-i*(-exp(-i*x) + exp(i*x))/(2*x))^(1/(1 - exp(i*x)/2 - exp(-i*x)/2))
Denominador racional
[src]
-1
-----------
-1 + cos(x)
/sin(x)\
|------|
\ x /
$$\left(\frac{\sin{\left(x \right)}}{x}\right)^{- \frac{1}{\cos{\left(x \right)} - 1}}$$
(sin(x)/x)^(-1/(-1 + cos(x)))
Parte trigonométrica
[src]
1
----------
1
1 - ------
sec(x)
/ 1 \
|--------|
\x*csc(x)/
$$\left(\frac{1}{x \csc{\left(x \right)}}\right)^{\frac{1}{1 - \frac{1}{\sec{\left(x \right)}}}}$$
1
---------------
2/x\
1 - tan |-|
\2/
1 - -----------
2/x\
1 + tan |-|
\2/
/ /x\ \
| 2*tan|-| |
| \2/ |
|---------------|
| / 2/x\\|
|x*|1 + tan |-|||
\ \ \2///
$$\left(\frac{2 \tan{\left(\frac{x}{2} \right)}}{x \left(\tan^{2}{\left(\frac{x}{2} \right)} + 1\right)}\right)^{\frac{1}{- \frac{1 - \tan^{2}{\left(\frac{x}{2} \right)}}{\tan^{2}{\left(\frac{x}{2} \right)} + 1} + 1}}$$
1
----------
1 - cos(x)
/ / pi\\
|cos|x - --||
| \ 2 /|
|-----------|
\ x /
$$\left(\frac{\cos{\left(x - \frac{\pi}{2} \right)}}{x}\right)^{\frac{1}{1 - \cos{\left(x \right)}}}$$
1
---------------
/ pi\
1 - sin|x + --|
\ 2 /
/sin(x)\
|------|
\ x /
$$\left(\frac{\sin{\left(x \right)}}{x}\right)^{\frac{1}{1 - \sin{\left(x + \frac{\pi}{2} \right)}}}$$
1
---------------
1
1 - -----------
/pi \
csc|-- - x|
\2 /
/ 1 \
|--------|
\x*csc(x)/
$$\left(\frac{1}{x \csc{\left(x \right)}}\right)^{\frac{1}{1 - \frac{1}{\csc{\left(- x + \frac{\pi}{2} \right)}}}}$$
1
----------
1
1 - ------
sec(x)
/ 1 \
|-------------|
| / pi\|
|x*sec|x - --||
\ \ 2 //
$$\left(\frac{1}{x \sec{\left(x - \frac{\pi}{2} \right)}}\right)^{\frac{1}{1 - \frac{1}{\sec{\left(x \right)}}}}$$
1
----------------
2/x\
-1 + cot |-|
\2/
1 - ------------
2/x\
1 + cot |-|
\2/
/ /x\ \
| 2*cot|-| |
| \2/ |
|---------------|
| / 2/x\\|
|x*|1 + cot |-|||
\ \ \2///
$$\left(\frac{2 \cot{\left(\frac{x}{2} \right)}}{x \left(\cot^{2}{\left(\frac{x}{2} \right)} + 1\right)}\right)^{\frac{1}{- \frac{\cot^{2}{\left(\frac{x}{2} \right)} - 1}{\cot^{2}{\left(\frac{x}{2} \right)} + 1} + 1}}$$
(2*cot(x/2)/(x*(1 + cot(x/2)^2)))^(1/(1 - (-1 + cot(x/2)^2)/(1 + cot(x/2)^2)))