Sr Examen
Otras calculadoras
-
¿Cómo usar?
- ¿cómo vas a descomponer esta expresión en fracciones?:
- ((z-1)*((z*f*r*f)/(1+(z-1)*c*f)))/(z*r)
- (x^2+3*x-4)/(x+4)
- y+y/x-y+1/(x^2)-x
- -z^3-(-1)*z^2*y*(-x)*z/(z^2+x*y)-y^2*x*(-x)*z/((z^2+x*y)*((z^2+x*y)^2))
- Factorizar el polinomio:
- y^4-7*y^2+9
- y^4-25
- y*x^2+5*x*y
- y^k-1-3*y^k
- Descomponer al cuadrado:
- -y^4+y^2-10
- y^4+9*y^2-3
- -y^4+9*y^2+5
- -y^4-9*y^2+15
- Límite de la función:
-
cos(2*x)/(-sin(x)+cos(x))
-
Expresiones idénticas
- cos(dos *x)/(-sin(x)+cos(x))
- coseno de (2 multiplicar por x) dividir por ( menos seno de (x) más coseno de (x))
- coseno de (dos multiplicar por x) dividir por ( menos seno de (x) más coseno de (x))
- cos(2x)/(-sin(x)+cos(x))
- cos2x/-sinx+cosx
- cos(2*x) dividir por (-sin(x)+cos(x))
-
Expresiones semejantes
- cos(2*x)/(sin(x)+cos(x))
- cos(2*x)/(-sin(x)-cos(x))
- cos(2*x)/(-sinx+cosx)
-
Expresiones con funciones
- Coseno cos
- cos(4*x)/(8*(cos(4*x)^2)^(3/2))
- cos(2*x)*x/(cos(x)+sin(x))-cos(x)
- cos(2*x)*x/(sin(x)+cos(x))
- cos(106)/(sin(8)*cos(8))
- cos(a+b)/((cos(a)*sin(b)))
- Seno sin
- sin(2*a)/((2*tg(a)))
- sin(6*pi*x)/(12*pi)+sin(8*pi*x)/(16*pi)
- sin(2*x)/(1+cos(2*x))
- sin(x)*cos(x)/(cot(x)-1)
- sinx/(((1+tg(x/2))/(1-tg(x/2)))*(1+sinx))
- Coseno cos
- cos(4*x)/(8*(cos(4*x)^2)^(3/2))
- cos(2*x)*x/(cos(x)+sin(x))-cos(x)
- cos(2*x)*x/(sin(x)+cos(x))
- cos(106)/(sin(8)*cos(8))
- cos(a+b)/((cos(a)*sin(b)))
¿Cómo vas a descomponer esta cos(2*x)/(-sin(x)+cos(x)) expresión en fracciones?
Solución
Ha introducido
[src]
cos(2*x) ---------------- -sin(x) + cos(x)
$$\frac{\cos{\left(2 x \right)}}{- \sin{\left(x \right)} + \cos{\left(x \right)}}$$
cos(2*x)/(-sin(x) + cos(x))
Simplificación general
[src]
___
\/ 2 *cos(2*x)
--------------
/ pi\
2*cos|x + --|
\ 4 /
$$\frac{\sqrt{2} \cos{\left(2 x \right)}}{2 \cos{\left(x + \frac{\pi}{4} \right)}}$$
sqrt(2)*cos(2*x)/(2*cos(x + pi/4))
Potencias
[src]
-2*I*x 2*I*x
e e
------- + ------
2 2
---------------------------------
I*x -I*x / -I*x I*x\
e e I*\- e + e /
---- + ----- + ------------------
2 2 2
$$\frac{\frac{e^{2 i x}}{2} + \frac{e^{- 2 i x}}{2}}{\frac{i \left(e^{i x} - e^{- i x}\right)}{2} + \frac{e^{i x}}{2} + \frac{e^{- i x}}{2}}$$
(exp(-2*i*x)/2 + exp(2*i*x)/2)/(exp(i*x)/2 + exp(-i*x)/2 + i*(-exp(-i*x) + exp(i*x))/2)
Parte trigonométrica
[src]
___ 2 / 2/x pi\\ / 2 \
\/ 2 *cos (x)*|1 + tan |- + --||*\1 - tan (x)/
\ \2 8 //
----------------------------------------------
/ 2/x pi\\
2*|1 - tan |- + --||
\ \2 8 //
$$\frac{\sqrt{2} \left(1 - \tan^{2}{\left(x \right)}\right) \left(\tan^{2}{\left(\frac{x}{2} + \frac{\pi}{8} \right)} + 1\right) \cos^{2}{\left(x \right)}}{2 \left(1 - \tan^{2}{\left(\frac{x}{2} + \frac{\pi}{8} \right)}\right)}$$
___ / 2/x pi\\ / 2 \
\/ 2 *|1 + cot |- + --||*\-1 + cot (x)/
\ \2 8 //
---------------------------------------
/ 2 \ / 2/x pi\\
2*\1 + cot (x)/*|-1 + cot |- + --||
\ \2 8 //
$$\frac{\sqrt{2} \left(\cot^{2}{\left(x \right)} - 1\right) \left(\cot^{2}{\left(\frac{x}{2} + \frac{\pi}{8} \right)} + 1\right)}{2 \left(\cot^{2}{\left(x \right)} + 1\right) \left(\cot^{2}{\left(\frac{x}{2} + \frac{\pi}{8} \right)} - 1\right)}$$
___ /x pi\
2*\/ 2 *tan|- + --|
\2 8 /
-------------------
2/x pi\
1 + tan |- + --|
\2 8 /
$$\frac{2 \sqrt{2} \tan{\left(\frac{x}{2} + \frac{\pi}{8} \right)}}{\tan^{2}{\left(\frac{x}{2} + \frac{\pi}{8} \right)} + 1}$$
___
\/ 2 *cos(2*x)
--------------
/ pi\
2*cos|x + --|
\ 4 /
$$\frac{\sqrt{2} \cos{\left(2 x \right)}}{2 \cos{\left(x + \frac{\pi}{4} \right)}}$$
___ / pi\
\/ 2 *cos(2*x)*sec|x + --|
\ 4 /
--------------------------
2
$$\frac{\sqrt{2} \cos{\left(2 x \right)} \sec{\left(x + \frac{\pi}{4} \right)}}{2}$$
/pi \
sin|-- + 2*x|
\2 /
---------------------
/ pi\
-sin(x) + sin|x + --|
\ 2 /
$$\frac{\sin{\left(2 x + \frac{\pi}{2} \right)}}{- \sin{\left(x \right)} + \sin{\left(x + \frac{\pi}{2} \right)}}$$
___ 2/x pi\ /x pi\
2*\/ 2 *sin |- + --|*cot|- + --|
\2 8 / \2 8 /
$$2 \sqrt{2} \sin^{2}{\left(\frac{x}{2} + \frac{\pi}{8} \right)} \cot{\left(\frac{x}{2} + \frac{\pi}{8} \right)}$$
___ /x pi\
2*\/ 2 *cot|- + --|
\2 8 /
-------------------
2/x pi\
1 + cot |- + --|
\2 8 /
$$\frac{2 \sqrt{2} \cot{\left(\frac{x}{2} + \frac{\pi}{8} \right)}}{\cot^{2}{\left(\frac{x}{2} + \frac{\pi}{8} \right)} + 1}$$
2
1 - tan (x)
-----------------------------------------
/ 2/x\ /x\ \
|1 - tan |-| 2*tan|-| |
/ 2 \ | \2/ \2/ |
\1 + tan (x)/*|----------- - -----------|
| 2/x\ 2/x\|
|1 + tan |-| 1 + tan |-||
\ \2/ \2//
$$\frac{1 - \tan^{2}{\left(x \right)}}{\left(\frac{1 - \tan^{2}{\left(\frac{x}{2} \right)}}{\tan^{2}{\left(\frac{x}{2} \right)} + 1} - \frac{2 \tan{\left(\frac{x}{2} \right)}}{\tan^{2}{\left(\frac{x}{2} \right)} + 1}\right) \left(\tan^{2}{\left(x \right)} + 1\right)}$$
___ / 2/x pi\\ / 2 \
\/ 2 *|1 + tan |- + --||*\1 - tan (x)/
\ \2 8 //
--------------------------------------
/ 2 \ / 2/x pi\\
2*\1 + tan (x)/*|1 - tan |- + --||
\ \2 8 //
$$\frac{\sqrt{2} \left(1 - \tan^{2}{\left(x \right)}\right) \left(\tan^{2}{\left(\frac{x}{2} + \frac{\pi}{8} \right)} + 1\right)}{2 \left(1 - \tan^{2}{\left(\frac{x}{2} + \frac{\pi}{8} \right)}\right) \left(\tan^{2}{\left(x \right)} + 1\right)}$$
___
-\/ 2 *cos(2*x)
-----------------------------------------------------
___________ ___________
___ / ___ / ___
- \/ 2 *cos(x) + \/ 2 + \/ 2 *\/ 2 - \/ 2 *sin(x)
$$- \frac{\sqrt{2} \cos{\left(2 x \right)}}{\sqrt{2 - \sqrt{2}} \sqrt{\sqrt{2} + 2} \sin{\left(x \right)} - \sqrt{2} \cos{\left(x \right)}}$$
cos(2*x)
----------------------
/ pi\
- cos|x - --| + cos(x)
\ 2 /
$$\frac{\cos{\left(2 x \right)}}{\cos{\left(x \right)} - \cos{\left(x - \frac{\pi}{2} \right)}}$$
2
-1 + cot (x)
------------------------------------------
/ 2/x\ /x\ \
|-1 + cot |-| 2*cot|-| |
/ 2 \ | \2/ \2/ |
\1 + cot (x)/*|------------ - -----------|
| 2/x\ 2/x\|
|1 + cot |-| 1 + cot |-||
\ \2/ \2//
$$\frac{\cot^{2}{\left(x \right)} - 1}{\left(\frac{\cot^{2}{\left(\frac{x}{2} \right)} - 1}{\cot^{2}{\left(\frac{x}{2} \right)} + 1} - \frac{2 \cot{\left(\frac{x}{2} \right)}}{\cot^{2}{\left(\frac{x}{2} \right)} + 1}\right) \left(\cot^{2}{\left(x \right)} + 1\right)}$$
1 -------------------------- / 1 1 \ |------ - ------|*sec(2*x) \sec(x) csc(x)/
$$\frac{1}{\left(\frac{1}{\sec{\left(x \right)}} - \frac{1}{\csc{\left(x \right)}}\right) \sec{\left(2 x \right)}}$$
___ /pi \
\/ 2 *sin|-- + 2*x|
\2 /
-------------------
/ 3*pi\
2*sin|x + ----|
\ 4 /
$$\frac{\sqrt{2} \sin{\left(2 x + \frac{\pi}{2} \right)}}{2 \sin{\left(x + \frac{3 \pi}{4} \right)}}$$
1 ------------------------------- / 1 1 \ |------ - -----------|*sec(2*x) |sec(x) / pi\| | sec|x - --|| \ \ 2 //
$$\frac{1}{\left(- \frac{1}{\sec{\left(x - \frac{\pi}{2} \right)}} + \frac{1}{\sec{\left(x \right)}}\right) \sec{\left(2 x \right)}}$$
___ / pi\
\/ 2 *cos|x - --|
\ 4 /
$$\sqrt{2} \cos{\left(x - \frac{\pi}{4} \right)}$$
___ \/ 2 ----------- / pi\ sec|x - --| \ 4 /
$$\frac{\sqrt{2}}{\sec{\left(x - \frac{\pi}{4} \right)}}$$
1 ------------------------------------ / 1 1 \ /pi \ |----------- - ------|*csc|-- - 2*x| | /pi \ csc(x)| \2 / |csc|-- - x| | \ \2 / /
$$\frac{1}{\left(\frac{1}{\csc{\left(- x + \frac{\pi}{2} \right)}} - \frac{1}{\csc{\left(x \right)}}\right) \csc{\left(- 2 x + \frac{\pi}{2} \right)}}$$
___ / pi\
\/ 2 *csc|-x + --|
\ 4 /
------------------
/pi \
2*csc|-- - 2*x|
\2 /
$$\frac{\sqrt{2} \csc{\left(- x + \frac{\pi}{4} \right)}}{2 \csc{\left(- 2 x + \frac{\pi}{2} \right)}}$$
___ / pi\
\/ 2 *cos(2*x)*csc|-x + --|
\ 4 /
---------------------------
2
$$\frac{\sqrt{2} \cos{\left(2 x \right)} \csc{\left(- x + \frac{\pi}{4} \right)}}{2}$$
___ \/ 2 ----------- / pi\ csc|x + --| \ 4 /
$$\frac{\sqrt{2}}{\csc{\left(x + \frac{\pi}{4} \right)}}$$
___ / pi\
\/ 2 *sec|x + --|
\ 4 /
-----------------
2*sec(2*x)
$$\frac{\sqrt{2} \sec{\left(x + \frac{\pi}{4} \right)}}{2 \sec{\left(2 x \right)}}$$
___ / pi\
\/ 2 *sin|x + --|
\ 4 /
$$\sqrt{2} \sin{\left(x + \frac{\pi}{4} \right)}$$
sqrt(2)*sin(x + pi/4)