/ 7 \
tan|-------------|
| __________|
| / 4 |
\\/ 6 + 3*n /
$$\tan{\left(\frac{7}{\sqrt{3 n^{4} + 6}} \right)}$$
/ 7*I -7*I \
| ------------- -------------|
| __________ __________|
| / 4 / 4 |
| \/ 6 + 3*n \/ 6 + 3*n |
I*\- e + e /
-------------------------------------
-7*I 7*I
------------- -------------
__________ __________
/ 4 / 4
\/ 6 + 3*n \/ 6 + 3*n
e + e
$$\frac{i \left(- e^{\frac{7 i}{\sqrt{3 n^{4} + 6}}} + e^{- \frac{7 i}{\sqrt{3 n^{4} + 6}}}\right)}{e^{\frac{7 i}{\sqrt{3 n^{4} + 6}}} + e^{- \frac{7 i}{\sqrt{3 n^{4} + 6}}}}$$
i*(-exp(7*i/sqrt(6 + 3*n^4)) + exp(-7*i/sqrt(6 + 3*n^4)))/(exp(-7*i/sqrt(6 + 3*n^4)) + exp(7*i/sqrt(6 + 3*n^4)))
Abrimos la expresión
[src]
7/ 1 \ 3/ 1 \ / 1 \ 5/ 1 \
tan |-------------| 35*tan |-------------| 7*tan|-------------| 21*tan |-------------|
| __________| | __________| | __________| | __________|
| / 4 | | / 4 | | / 4 | | / 4 |
\\/ 6 + 3*n / \\/ 6 + 3*n / \\/ 6 + 3*n / \\/ 6 + 3*n /
- --------------------------------------------------------------------------- - --------------------------------------------------------------------------- + --------------------------------------------------------------------------- + ---------------------------------------------------------------------------
2/ 1 \ 6/ 1 \ 4/ 1 \ 2/ 1 \ 6/ 1 \ 4/ 1 \ 2/ 1 \ 6/ 1 \ 4/ 1 \ 2/ 1 \ 6/ 1 \ 4/ 1 \
1 - 21*tan |-------------| - 7*tan |-------------| + 35*tan |-------------| 1 - 21*tan |-------------| - 7*tan |-------------| + 35*tan |-------------| 1 - 21*tan |-------------| - 7*tan |-------------| + 35*tan |-------------| 1 - 21*tan |-------------| - 7*tan |-------------| + 35*tan |-------------|
| __________| | __________| | __________| | __________| | __________| | __________| | __________| | __________| | __________| | __________| | __________| | __________|
| / 4 | | / 4 | | / 4 | | / 4 | | / 4 | | / 4 | | / 4 | | / 4 | | / 4 | | / 4 | | / 4 | | / 4 |
\\/ 6 + 3*n / \\/ 6 + 3*n / \\/ 6 + 3*n / \\/ 6 + 3*n / \\/ 6 + 3*n / \\/ 6 + 3*n / \\/ 6 + 3*n / \\/ 6 + 3*n / \\/ 6 + 3*n / \\/ 6 + 3*n / \\/ 6 + 3*n / \\/ 6 + 3*n /
$$- \frac{\tan^{7}{\left(\frac{1}{\sqrt{3 n^{4} + 6}} \right)}}{- 7 \tan^{6}{\left(\frac{1}{\sqrt{3 n^{4} + 6}} \right)} + 35 \tan^{4}{\left(\frac{1}{\sqrt{3 n^{4} + 6}} \right)} - 21 \tan^{2}{\left(\frac{1}{\sqrt{3 n^{4} + 6}} \right)} + 1} + \frac{21 \tan^{5}{\left(\frac{1}{\sqrt{3 n^{4} + 6}} \right)}}{- 7 \tan^{6}{\left(\frac{1}{\sqrt{3 n^{4} + 6}} \right)} + 35 \tan^{4}{\left(\frac{1}{\sqrt{3 n^{4} + 6}} \right)} - 21 \tan^{2}{\left(\frac{1}{\sqrt{3 n^{4} + 6}} \right)} + 1} - \frac{35 \tan^{3}{\left(\frac{1}{\sqrt{3 n^{4} + 6}} \right)}}{- 7 \tan^{6}{\left(\frac{1}{\sqrt{3 n^{4} + 6}} \right)} + 35 \tan^{4}{\left(\frac{1}{\sqrt{3 n^{4} + 6}} \right)} - 21 \tan^{2}{\left(\frac{1}{\sqrt{3 n^{4} + 6}} \right)} + 1} + \frac{7 \tan{\left(\frac{1}{\sqrt{3 n^{4} + 6}} \right)}}{- 7 \tan^{6}{\left(\frac{1}{\sqrt{3 n^{4} + 6}} \right)} + 35 \tan^{4}{\left(\frac{1}{\sqrt{3 n^{4} + 6}} \right)} - 21 \tan^{2}{\left(\frac{1}{\sqrt{3 n^{4} + 6}} \right)} + 1}$$
/ ___ \
| 7*\/ 3 |
tan|-------------|
| ________|
| / 4 |
\3*\/ n + 2 /
$$\tan{\left(\frac{7 \sqrt{3}}{3 \sqrt{n^{4} + 2}} \right)}$$
tan(7*sqrt(3)/(3*sqrt(n^4 + 2)))
Parte trigonométrica
[src]
1
------------------
/ 7 \
cot|-------------|
| __________|
| / 4 |
\\/ 6 + 3*n /
$$\frac{1}{\cot{\left(\frac{7}{\sqrt{3 n^{4} + 6}} \right)}}$$
2/ 7 \
2*sin |-------------|
| __________|
| / 4 |
\\/ 6 + 3*n /
---------------------
/ 14 \
sin|-------------|
| __________|
| / 4 |
\\/ 6 + 3*n /
$$\frac{2 \sin^{2}{\left(\frac{7}{\sqrt{3 n^{4} + 6}} \right)}}{\sin{\left(\frac{14}{\sqrt{3 n^{4} + 6}} \right)}}$$
/ 7 \
tan|-------------|
| __________|
| / 4 |
\\/ 6 + 3*n /
$$\tan{\left(\frac{7}{\sqrt{3 n^{4} + 6}} \right)}$$
/pi 7 \
csc|-- - -------------|
|2 __________|
| / 4 |
\ \/ 6 + 3*n /
-----------------------
/ 7 \
csc|-------------|
| __________|
| / 4 |
\\/ 6 + 3*n /
$$\frac{\csc{\left(\frac{\pi}{2} - \frac{7}{\sqrt{3 n^{4} + 6}} \right)}}{\csc{\left(\frac{7}{\sqrt{3 n^{4} + 6}} \right)}}$$
/ 7 \
sin|-------------|
| __________|
| / 4 |
\\/ 6 + 3*n /
------------------
/ 7 \
cos|-------------|
| __________|
| / 4 |
\\/ 6 + 3*n /
$$\frac{\sin{\left(\frac{7}{\sqrt{3 n^{4} + 6}} \right)}}{\cos{\left(\frac{7}{\sqrt{3 n^{4} + 6}} \right)}}$$
/ 7 \
sec|-------------|
| __________|
| / 4 |
\\/ 6 + 3*n /
------------------
/ 7 \
csc|-------------|
| __________|
| / 4 |
\\/ 6 + 3*n /
$$\frac{\sec{\left(\frac{7}{\sqrt{3 n^{4} + 6}} \right)}}{\csc{\left(\frac{7}{\sqrt{3 n^{4} + 6}} \right)}}$$
/ 7 pi\
cos|------------- - --|
| __________ 2 |
| / 4 |
\\/ 6 + 3*n /
-----------------------
/ 7 \
cos|-------------|
| __________|
| / 4 |
\\/ 6 + 3*n /
$$\frac{\cos{\left(- \frac{\pi}{2} + \frac{7}{\sqrt{3 n^{4} + 6}} \right)}}{\cos{\left(\frac{7}{\sqrt{3 n^{4} + 6}} \right)}}$$
/ 7 \
sec|-------------|
| __________|
| / 4 |
\\/ 6 + 3*n /
-----------------------
/ 7 pi\
sec|------------- - --|
| __________ 2 |
| / 4 |
\\/ 6 + 3*n /
$$\frac{\sec{\left(\frac{7}{\sqrt{3 n^{4} + 6}} \right)}}{\sec{\left(- \frac{\pi}{2} + \frac{7}{\sqrt{3 n^{4} + 6}} \right)}}$$
sec(7/sqrt(6 + 3*n^4))/sec(7/sqrt(6 + 3*n^4) - pi/2)