General simplification
[src]
-1
---------------------
/ ___________\
| / ___ |
| / 1 \/ 2 |
sin| / - - ----- |
\\/ 2 4 /
$$- \frac{1}{\sin{\left(\sqrt{\frac{1}{2} - \frac{\sqrt{2}}{4}} \right)}}$$
-1/sin(sqrt(1/2 - sqrt(2)/4))
Fraction decomposition
[src]
-1/sin(sqrt(1/2 - sqrt(2)/4))
$$- \frac{1}{\sin{\left(\sqrt{\frac{1}{2} - \frac{\sqrt{2}}{4}} \right)}}$$
-1
---------------------
/ ___________\
| / ___ |
| / 1 \/ 2 |
sin| / - - ----- |
\\/ 2 4 /
Combining rational expressions
[src]
-1
---------------------
/ ___________\
| / ___ |
| / 1 \/ 2 |
sin| / - - ----- |
\\/ 2 4 /
$$- \frac{1}{\sin{\left(\sqrt{\frac{1}{2} - \frac{\sqrt{2}}{4}} \right)}}$$
-1/sin(sqrt(1/2 - sqrt(2)/4))
Rational denominator
[src]
-1
---------------------
/ ___________\
| / ___ |
| / 1 \/ 2 |
sin| / - - ----- |
\\/ 2 4 /
$$- \frac{1}{\sin{\left(\sqrt{\frac{1}{2} - \frac{\sqrt{2}}{4}} \right)}}$$
-1/sin(sqrt(1/2 - sqrt(2)/4))
-1
---------------------
/ ___________\
| / ___ |
| / 1 \/ 2 |
sin| / - - ----- |
\\/ 2 4 /
$$- \frac{1}{\sin{\left(\sqrt{\frac{1}{2} - \frac{\sqrt{2}}{4}} \right)}}$$
-1/sin(sqrt(1/2 - sqrt(2)/4))
2*I
-------------------------------------------
7*pi*I -7*pi*I -7*pi*I 7*pi*I
------ ------- ------- ------
8 8 8 8
e e e e
------- - -------- -------- - -------
2 2 2 2
- e + e
$$\frac{2 i}{- e^{\frac{e^{\frac{7 i \pi}{8}}}{2} - \frac{e^{- \frac{7 i \pi}{8}}}{2}} + e^{\frac{e^{- \frac{7 i \pi}{8}}}{2} - \frac{e^{\frac{7 i \pi}{8}}}{2}}}$$
-1
---------------------
/ ___________\
| / ___ |
| / 1 \/ 2 |
sin| / - - ----- |
\\/ 2 4 /
$$- \frac{1}{\sin{\left(\sqrt{\frac{1}{2} - \frac{\sqrt{2}}{4}} \right)}}$$
-1/sin(sqrt(1/2 - sqrt(2)/4))
-1
---------------------
/ ___________\
| / ___ |
| / 1 \/ 2 |
sin| / - - ----- |
\\/ 2 4 /
$$- \frac{1}{\sin{\left(\sqrt{\frac{1}{2} - \frac{\sqrt{2}}{4}} \right)}}$$
-1/sin(sqrt(1/2 - sqrt(2)/4))
-1
-------------------
/ ___________\
| / ___ |
|\/ 2 - \/ 2 |
sin|--------------|
\ 2 /
$$- \frac{1}{\sin{\left(\frac{\sqrt{2 - \sqrt{2}}}{2} \right)}}$$
-1/sin(sqrt(2 - sqrt(2))/2)