Parte trigonométrica
[src]
/ ___ \
___ | \/ 3 |
\/ 3 *atan|--------------------------|
| / 1 \ |
|3*|1 + -----------|*csc(x)|
| | /pi \| |
| | csc|-- - x|| |
\ \ \2 // /
--------------------------------------
6
3 atan ( 3 3 ( 1 + 1 csc ( − x + π 2 ) ) csc ( x ) ) 6 \frac{\sqrt{3} \operatorname{atan}{\left(\frac{\sqrt{3}}{3 \left(1 + \frac{1}{\csc{\left(- x + \frac{\pi}{2} \right)}}\right) \csc{\left(x \right)}} \right)}}{6} 6 3 atan 3 ( 1 + c s c ( − x + 2 π ) 1 ) c s c ( x ) 3
/ ___ \
___ | \/ 3 *sin(x) |
\/ 3 *atan|-------------------|
| / / pi\\|
|3*|1 + sin|x + --|||
\ \ \ 2 ///
-------------------------------
6
3 atan ( 3 sin ( x ) 3 ( sin ( x + π 2 ) + 1 ) ) 6 \frac{\sqrt{3} \operatorname{atan}{\left(\frac{\sqrt{3} \sin{\left(x \right)}}{3 \left(\sin{\left(x + \frac{\pi}{2} \right)} + 1\right)} \right)}}{6} 6 3 atan ( 3 ( s i n ( x + 2 π ) + 1 ) 3 s i n ( x ) )
/ ___ \
___ | \/ 3 |
\/ 3 *atan|--------------------------|
| / 1 \ / pi\|
|3*|1 + ------|*sec|x - --||
\ \ sec(x)/ \ 2 //
--------------------------------------
6
3 atan ( 3 3 ( 1 + 1 sec ( x ) ) sec ( x − π 2 ) ) 6 \frac{\sqrt{3} \operatorname{atan}{\left(\frac{\sqrt{3}}{3 \left(1 + \frac{1}{\sec{\left(x \right)}}\right) \sec{\left(x - \frac{\pi}{2} \right)}} \right)}}{6} 6 3 atan ( 3 ( 1 + s e c ( x ) 1 ) s e c ( x − 2 π ) 3 )
/ ___ \
___ | \/ 3 |
\/ 3 *atan|---------------------|
| / 1 \ |
|3*|1 + ------|*csc(x)|
\ \ sec(x)/ /
---------------------------------
6
3 atan ( 3 3 ( 1 + 1 sec ( x ) ) csc ( x ) ) 6 \frac{\sqrt{3} \operatorname{atan}{\left(\frac{\sqrt{3}}{3 \left(1 + \frac{1}{\sec{\left(x \right)}}\right) \csc{\left(x \right)}} \right)}}{6} 6 3 atan ( 3 ( 1 + s e c ( x ) 1 ) c s c ( x ) 3 )
/ ___ /x\ \
| 2*\/ 3 *cot|-| |
___ | \2/ |
\/ 3 *atan|----------------------------------|
| / 2/x\\|
| | -1 + cot |-|||
| / 2/x\\ | \2/||
|3*|1 + cot |-||*|1 + ------------||
| \ \2// | 2/x\ ||
| | 1 + cot |-| ||
\ \ \2/ //
----------------------------------------------
6
3 atan ( 2 3 cot ( x 2 ) 3 ( cot 2 ( x 2 ) − 1 cot 2 ( x 2 ) + 1 + 1 ) ( cot 2 ( x 2 ) + 1 ) ) 6 \frac{\sqrt{3} \operatorname{atan}{\left(\frac{2 \sqrt{3} \cot{\left(\frac{x}{2} \right)}}{3 \left(\frac{\cot^{2}{\left(\frac{x}{2} \right)} - 1}{\cot^{2}{\left(\frac{x}{2} \right)} + 1} + 1\right) \left(\cot^{2}{\left(\frac{x}{2} \right)} + 1\right)} \right)}}{6} 6 3 atan 3 ( c o t 2 ( 2 x ) + 1 c o t 2 ( 2 x ) − 1 + 1 ) ( c o t 2 ( 2 x ) + 1 ) 2 3 c o t ( 2 x )
/ ___ / pi\\
|\/ 3 *cos|x - --||
___ | \ 2 /|
\/ 3 *atan|-----------------|
\ 3*(1 + cos(x)) /
-----------------------------
6
3 atan ( 3 cos ( x − π 2 ) 3 ( cos ( x ) + 1 ) ) 6 \frac{\sqrt{3} \operatorname{atan}{\left(\frac{\sqrt{3} \cos{\left(x - \frac{\pi}{2} \right)}}{3 \left(\cos{\left(x \right)} + 1\right)} \right)}}{6} 6 3 atan ( 3 ( c o s ( x ) + 1 ) 3 c o s ( x − 2 π ) )
/ ___ \
___ | \/ 3 *sin(x) |
\/ 3 *atan|--------------|
\3*(1 + cos(x))/
--------------------------
6
3 atan ( 3 sin ( x ) 3 ( cos ( x ) + 1 ) ) 6 \frac{\sqrt{3} \operatorname{atan}{\left(\frac{\sqrt{3} \sin{\left(x \right)}}{3 \left(\cos{\left(x \right)} + 1\right)} \right)}}{6} 6 3 atan ( 3 ( c o s ( x ) + 1 ) 3 s i n ( x ) )
/ ___ /x\ \
| 2*\/ 3 *tan|-| |
___ | \2/ |
\/ 3 *atan|---------------------------------|
| / 2/x\\|
| | 1 - tan |-|||
| / 2/x\\ | \2/||
|3*|1 + tan |-||*|1 + -----------||
| \ \2// | 2/x\||
| | 1 + tan |-|||
\ \ \2///
---------------------------------------------
6
3 atan ( 2 3 tan ( x 2 ) 3 ( 1 − tan 2 ( x 2 ) tan 2 ( x 2 ) + 1 + 1 ) ( tan 2 ( x 2 ) + 1 ) ) 6 \frac{\sqrt{3} \operatorname{atan}{\left(\frac{2 \sqrt{3} \tan{\left(\frac{x}{2} \right)}}{3 \left(\frac{1 - \tan^{2}{\left(\frac{x}{2} \right)}}{\tan^{2}{\left(\frac{x}{2} \right)} + 1} + 1\right) \left(\tan^{2}{\left(\frac{x}{2} \right)} + 1\right)} \right)}}{6} 6 3 atan 3 ( t a n 2 ( 2 x ) + 1 1 − t a n 2 ( 2 x ) + 1 ) ( t a n 2 ( 2 x ) + 1 ) 2 3 t a n ( 2 x )
___ / sin(x) \
\/ 3 *atan|------------------|
| ___ |
\\/ 3 *(1 + cos(x))/
------------------------------
6
3 atan ( sin ( x ) 3 ( cos ( x ) + 1 ) ) 6 \frac{\sqrt{3} \operatorname{atan}{\left(\frac{\sin{\left(x \right)}}{\sqrt{3} \left(\cos{\left(x \right)} + 1\right)} \right)}}{6} 6 3 atan ( 3 ( c o s ( x ) + 1 ) s i n ( x ) )
sqrt(3)*atan(sin(x)/((sqrt(3)*(1 + cos(x)))))/6