-6*I*a 6*I*a
- e + e
----------------------
/ -3*I*a 3*I*a\
2*\- e + e /
$$\frac{e^{6 i a} - e^{- 6 i a}}{2 \left(e^{3 i a} - e^{- 3 i a}\right)}$$
(-exp(-6*i*a) + exp(6*i*a))/(2*(-exp(-3*i*a) + exp(3*i*a)))
Abrimos la expresión
[src]
3 5
16*sin (a)*cos(a) 3*cos(a)*sin(a) 16*sin (a)*cos(a)
- ---------------------- + ---------------------- + ----------------------
3 3 3
- 4*sin (a) + 3*sin(a) - 4*sin (a) + 3*sin(a) - 4*sin (a) + 3*sin(a)
$$\frac{16 \sin^{5}{\left(a \right)} \cos{\left(a \right)}}{- 4 \sin^{3}{\left(a \right)} + 3 \sin{\left(a \right)}} - \frac{16 \sin^{3}{\left(a \right)} \cos{\left(a \right)}}{- 4 \sin^{3}{\left(a \right)} + 3 \sin{\left(a \right)}} + \frac{3 \sin{\left(a \right)} \cos{\left(a \right)}}{- 4 \sin^{3}{\left(a \right)} + 3 \sin{\left(a \right)}}$$
-16*sin(a)^3*cos(a)/(-4*sin(a)^3 + 3*sin(a)) + 3*cos(a)*sin(a)/(-4*sin(a)^3 + 3*sin(a)) + 16*sin(a)^5*cos(a)/(-4*sin(a)^3 + 3*sin(a))
Parte trigonométrica
[src]
/ 2/3*a\\
|1 + cot |---||*cot(3*a)
\ \ 2 //
--------------------------
/ 2 \ /3*a\
2*\1 + cot (3*a)/*cot|---|
\ 2 /
$$\frac{\left(\cot^{2}{\left(\frac{3 a}{2} \right)} + 1\right) \cot{\left(3 a \right)}}{2 \left(\cot^{2}{\left(3 a \right)} + 1\right) \cot{\left(\frac{3 a}{2} \right)}}$$
$$\frac{1}{\sec{\left(3 a \right)}}$$
1
-------------
/pi \
csc|-- - 3*a|
\2 /
$$\frac{1}{\csc{\left(- 3 a + \frac{\pi}{2} \right)}}$$
2/3*a\
-1 + cot |---|
\ 2 /
--------------
2/3*a\
1 + cot |---|
\ 2 /
$$\frac{\cot^{2}{\left(\frac{3 a}{2} \right)} - 1}{\cot^{2}{\left(\frac{3 a}{2} \right)} + 1}$$
/ pi\
sec|3*a - --|
\ 2 /
---------------
/ pi\
2*sec|6*a - --|
\ 2 /
$$\frac{\sec{\left(3 a - \frac{\pi}{2} \right)}}{2 \sec{\left(6 a - \frac{\pi}{2} \right)}}$$
$$\cos{\left(3 a \right)}$$
csc(3*a)
----------
2*csc(6*a)
$$\frac{\csc{\left(3 a \right)}}{2 \csc{\left(6 a \right)}}$$
/ 2/3*a\\
|1 + tan |---||*tan(3*a)
\ \ 2 //
--------------------------
/ 2 \ /3*a\
2*\1 + tan (3*a)/*tan|---|
\ 2 /
$$\frac{\left(\tan^{2}{\left(\frac{3 a}{2} \right)} + 1\right) \tan{\left(3 a \right)}}{2 \left(\tan^{2}{\left(3 a \right)} + 1\right) \tan{\left(\frac{3 a}{2} \right)}}$$
2/3*a\
1 - tan |---|
\ 2 /
-------------
2/3*a\
1 + tan |---|
\ 2 /
$$\frac{1 - \tan^{2}{\left(\frac{3 a}{2} \right)}}{\tan^{2}{\left(\frac{3 a}{2} \right)} + 1}$$
$$\sin{\left(3 a + \frac{\pi}{2} \right)}$$
/ pi\
cos|6*a - --|
\ 2 /
---------------
/ pi\
2*cos|3*a - --|
\ 2 /
$$\frac{\cos{\left(6 a - \frac{\pi}{2} \right)}}{2 \cos{\left(3 a - \frac{\pi}{2} \right)}}$$
cos(6*a - pi/2)/(2*cos(3*a - pi/2))