Господин Экзамен
Другие калькуляторы
-
Как пользоваться?
- 5*sqrt(2*a) если a=-1
- 3*(14-k)-2*(k+2) если k=-1
- 10*10*10*10*c*c*c если c=1/3
- 6*b^(-12)*b^8 если b=3/2
- Разложить многочлен на множители:
- 16*m^2-112*m+196
- 4*k^2*m+12*k^2*t+m+3*t
- x^2+x+8
- 2*x+3*x^2+4*x^3
- Общий знаменатель:
- (c^2-10*c+25)/(2*c+4)*(4*c+8)/(c^2-25)+2/(c+5)
- (1/sqrt(1+x)+1/sqrt(1-x))*(sqrt(1+x)+sqrt(1-x))
- -6/((1+36*x^2)*(3*x^2-sqrt(x)))+(1/(2*sqrt(x))-6*x)*acot(6*x)/(3*x^2-sqrt(x))^2
- ((3-sqrt(29))/(2))/((3+sqrt(29))/(2))+((3+sqrt(29))/(2))/((3-sqrt(29))/(2))
- Умножение столбиком:
- 28*35
- 29*18
- 34*60
- 43*14
- Деление столбиком:
- 75805/46141
- 25703/2164
- 89413/6410
- 227/2
- Раскрыть скобки в:
- a*(a-c)+c*(a-c)
- (2*a*b^2)^4*(2*a^2*b)^3
- (y^2-2*y)*2-y^2*(y-3)*(y+3)+2*y*(2*y^2+5)
- k*(3*k+2*p)-(p+k)^2
- Разложение числа на простые множители:
- 4292
- 3282
- 11172
- 927
- График функции y =:
- 1/2
- Производная:
- 1/2
- Интеграл d{x}:
-
1/2
-
Идентичные выражения
- sin(p) если p= один / два
- синус от (p) если p равно 1 делить на 2
- синус от (p) если p равно один делить на два
- sinp если p=1/2
- sin(p) при p=1/2
- sin(p) если p=1 разделить на 2
sin(p) если p=1/2
Решение
Подстановка условия
[src]
sin(p) при p = 1/2
подставляем
sin(p)
$$\sin{\left(p \right)}$$
sin(p)
$$\sin{\left(p \right)}$$
переменные
p = 1/2
$$p = \frac{1}{2}$$
sin((1/2))
$$\sin{\left((1/2) \right)}$$
sin(1/2)
$$\sin{\left(\frac{1}{2} \right)}$$
sin(1/2)
Степени
[src]
/ -I*p I*p\
-I*\- e + e /
--------------------
2
$$- \frac{i \left(e^{i p} - e^{- i p}\right)}{2}$$
-i*(-exp(-i*p) + exp(i*p))/2
Тригонометрическая часть
[src]
1 ------ csc(p)
$$\frac{1}{\csc{\left(p \right)}}$$
/ pi\ cos|p - --| \ 2 /
$$\cos{\left(p - \frac{\pi}{2} \right)}$$
1 ----------- csc(pi - p)
$$\frac{1}{\csc{\left(- p + \pi \right)}}$$
1 ----------- / pi\ sec|p - --| \ 2 /
$$\frac{1}{\sec{\left(p - \frac{\pi}{2} \right)}}$$
1 ----------- /pi \ sec|-- - p| \2 /
$$\frac{1}{\sec{\left(- p + \frac{\pi}{2} \right)}}$$
/p\
(1 + cos(p))*tan|-|
\2/
$$\left(\cos{\left(p \right)} + 1\right) \tan{\left(\frac{p}{2} \right)}$$
/p\
2*cot|-|
\2/
-----------
2/p\
1 + cot |-|
\2/
$$\frac{2 \cot{\left(\frac{p}{2} \right)}}{\cot^{2}{\left(\frac{p}{2} \right)} + 1}$$
/p\
2*tan|-|
\2/
-----------
2/p\
1 + tan |-|
\2/
$$\frac{2 \tan{\left(\frac{p}{2} \right)}}{\tan^{2}{\left(\frac{p}{2} \right)} + 1}$$
/ 0 for p mod pi = 0 < \sin(p) otherwise
$$\begin{cases} 0 & \text{for}\: p \bmod \pi = 0 \\\sin{\left(p \right)} & \text{otherwise} \end{cases}$$
2 -------------------- / 1 \ /p\ |1 + -------|*cot|-| | 2/p\| \2/ | cot |-|| \ \2//
$$\frac{2}{\left(1 + \frac{1}{\cot^{2}{\left(\frac{p}{2} \right)}}\right) \cot{\left(\frac{p}{2} \right)}}$$
/ 0 for p mod pi = 0 | < 1 |------ otherwise \csc(p)
$$\begin{cases} 0 & \text{for}\: p \bmod \pi = 0 \\\frac{1}{\csc{\left(p \right)}} & \text{otherwise} \end{cases}$$
/ 0 for p mod pi = 0 | < / pi\ |cos|p - --| otherwise \ \ 2 /
$$\begin{cases} 0 & \text{for}\: p \bmod \pi = 0 \\\cos{\left(p - \frac{\pi}{2} \right)} & \text{otherwise} \end{cases}$$
/ 2/p pi\\
|1 - cot |- + --||*(1 + sin(p))
\ \2 4 //
-------------------------------
2
$$\frac{\left(- \cot^{2}{\left(\frac{p}{2} + \frac{\pi}{4} \right)} + 1\right) \left(\sin{\left(p \right)} + 1\right)}{2}$$
2/p pi\
-1 + tan |- + --|
\2 4 /
-----------------
2/p pi\
1 + tan |- + --|
\2 4 /
$$\frac{\tan^{2}{\left(\frac{p}{2} + \frac{\pi}{4} \right)} - 1}{\tan^{2}{\left(\frac{p}{2} + \frac{\pi}{4} \right)} + 1}$$
2/p pi\
1 - cot |- + --|
\2 4 /
----------------
2/p pi\
1 + cot |- + --|
\2 4 /
$$\frac{- \cot^{2}{\left(\frac{p}{2} + \frac{\pi}{4} \right)} + 1}{\cot^{2}{\left(\frac{p}{2} + \frac{\pi}{4} \right)} + 1}$$
/ 0 for p mod pi = 0 | | 1 <----------- otherwise | / pi\ |sec|p - --| \ \ 2 /
$$\begin{cases} 0 & \text{for}\: p \bmod \pi = 0 \\\frac{1}{\sec{\left(p - \frac{\pi}{2} \right)}} & \text{otherwise} \end{cases}$$
2/p\
4*sin |-|*sin(p)
\2/
-------------------
2 4/p\
sin (p) + 4*sin |-|
\2/
$$\frac{4 \sin^{2}{\left(\frac{p}{2} \right)} \sin{\left(p \right)}}{4 \sin^{4}{\left(\frac{p}{2} \right)} + \sin^{2}{\left(p \right)}}$$
/ / 3*pi\ | 1 for |p + ----| mod 2*pi = 0 < \ 2 / | \sin(p) otherwise
$$\begin{cases} 1 & \text{for}\: \left(p + \frac{3 \pi}{2}\right) \bmod 2 \pi = 0 \\\sin{\left(p \right)} & \text{otherwise} \end{cases}$$
/ 0 for p mod pi = 0 | |1 - cos(p) <---------- otherwise | /p\ | tan|-| \ \2/
$$\begin{cases} 0 & \text{for}\: p \bmod \pi = 0 \\\frac{- \cos{\left(p \right)} + 1}{\tan{\left(\frac{p}{2} \right)}} & \text{otherwise} \end{cases}$$
2/p\
4*sin |-|
\2/
----------------------
/ 4/p\\
| 4*sin |-||
| \2/|
|1 + ---------|*sin(p)
| 2 |
\ sin (p) /
$$\frac{4 \sin^{2}{\left(\frac{p}{2} \right)}}{\left(\frac{4 \sin^{4}{\left(\frac{p}{2} \right)}}{\sin^{2}{\left(p \right)}} + 1\right) \sin{\left(p \right)}}$$
/ 0 for p mod pi = 0 | | /p\ | 2*cot|-| < \2/ |----------- otherwise | 2/p\ |1 + cot |-| \ \2/
$$\begin{cases} 0 & \text{for}\: p \bmod \pi = 0 \\\frac{2 \cot{\left(\frac{p}{2} \right)}}{\cot^{2}{\left(\frac{p}{2} \right)} + 1} & \text{otherwise} \end{cases}$$
/ 0 for p mod pi = 0 | | /p\ | 2*tan|-| < \2/ |----------- otherwise | 2/p\ |1 + tan |-| \ \2/
$$\begin{cases} 0 & \text{for}\: p \bmod \pi = 0 \\\frac{2 \tan{\left(\frac{p}{2} \right)}}{\tan^{2}{\left(\frac{p}{2} \right)} + 1} & \text{otherwise} \end{cases}$$
/ 0 for p mod pi = 0
|
$$\begin{cases} 0 & \text{for}\: p \bmod \pi = 0 \\\begin{cases} 0 & \text{for}\: p \bmod \pi = 0 \\\sin{\left(p \right)} & \text{otherwise} \end{cases} & \text{otherwise} \end{cases}$$
/ 0 for p mod pi = 0
|
| 2
|-------------------- otherwise
$$\begin{cases} 0 & \text{for}\: p \bmod \pi = 0 \\\frac{2}{\left(1 + \frac{1}{\tan^{2}{\left(\frac{p}{2} \right)}}\right) \tan{\left(\frac{p}{2} \right)}} & \text{otherwise} \end{cases}$$
/p\
2*sec|-|
\2/
------------------------------
/ 2/p\ \
| sec |-| |
| \2/ | /p pi\
|1 + ------------|*sec|- - --|
| 2/p pi\| \2 2 /
| sec |- - --||
\ \2 2 //
$$\frac{2 \sec{\left(\frac{p}{2} \right)}}{\left(\frac{\sec^{2}{\left(\frac{p}{2} \right)}}{\sec^{2}{\left(\frac{p}{2} - \frac{\pi}{2} \right)}} + 1\right) \sec{\left(\frac{p}{2} - \frac{\pi}{2} \right)}}$$
/p pi\
2*cos|- - --|
\2 2 /
-------------------------
/ 2/p pi\\
| cos |- - --||
| \2 2 /| /p\
|1 + ------------|*cos|-|
| 2/p\ | \2/
| cos |-| |
\ \2/ /
$$\frac{2 \cos{\left(\frac{p}{2} - \frac{\pi}{2} \right)}}{\left(1 + \frac{\cos^{2}{\left(\frac{p}{2} - \frac{\pi}{2} \right)}}{\cos^{2}{\left(\frac{p}{2} \right)}}\right) \cos{\left(\frac{p}{2} \right)}}$$
/pi p\
2*csc|-- - -|
\2 2/
-------------------------
/ 2/pi p\\
| csc |-- - -||
| \2 2/| /p\
|1 + ------------|*csc|-|
| 2/p\ | \2/
| csc |-| |
\ \2/ /
$$\frac{2 \csc{\left(- \frac{p}{2} + \frac{\pi}{2} \right)}}{\left(1 + \frac{\csc^{2}{\left(- \frac{p}{2} + \frac{\pi}{2} \right)}}{\csc^{2}{\left(\frac{p}{2} \right)}}\right) \csc{\left(\frac{p}{2} \right)}}$$
/ / 3*pi\ | 1 for |p + ----| mod 2*pi = 0 | \ 2 / | | 2/p pi\ <-1 + tan |- + --| | \2 4 / |----------------- otherwise | 2/p pi\ | 1 + tan |- + --| \ \2 4 /
$$\begin{cases} 1 & \text{for}\: \left(p + \frac{3 \pi}{2}\right) \bmod 2 \pi = 0 \\\frac{\tan^{2}{\left(\frac{p}{2} + \frac{\pi}{4} \right)} - 1}{\tan^{2}{\left(\frac{p}{2} + \frac{\pi}{4} \right)} + 1} & \text{otherwise} \end{cases}$$
/ 0 for p mod pi = 0 | | sin(p) |----------------------- otherwise |/ 2 \ <| sin (p) | 2/p\ ||1 + ---------|*sin |-| || 4/p\| \2/ || 4*sin |-|| |\ \2// \
$$\begin{cases} 0 & \text{for}\: p \bmod \pi = 0 \\\frac{\sin{\left(p \right)}}{\left(1 + \frac{\sin^{2}{\left(p \right)}}{4 \sin^{4}{\left(\frac{p}{2} \right)}}\right) \sin^{2}{\left(\frac{p}{2} \right)}} & \text{otherwise} \end{cases}$$
/ 0 for p mod pi = 0 | | 2*sin(p) |---------------------------- otherwise | / 2 \ < | sin (p) | |(1 - cos(p))*|1 + ---------| | | 4/p\| | | 4*sin |-|| | \ \2// \
$$\begin{cases} 0 & \text{for}\: p \bmod \pi = 0 \\\frac{2 \sin{\left(p \right)}}{\left(1 + \frac{\sin^{2}{\left(p \right)}}{4 \sin^{4}{\left(\frac{p}{2} \right)}}\right) \left(- \cos{\left(p \right)} + 1\right)} & \text{otherwise} \end{cases}$$
/ 0 for p mod pi = 0 | |/ 0 for p mod pi = 0 || || /p\ <| 2*cot|-| |< \2/ otherwise ||----------- otherwise || 2/p\ ||1 + cot |-| \\ \2/
$$\begin{cases} 0 & \text{for}\: p \bmod \pi = 0 \\\begin{cases} 0 & \text{for}\: p \bmod \pi = 0 \\\frac{2 \cot{\left(\frac{p}{2} \right)}}{\cot^{2}{\left(\frac{p}{2} \right)} + 1} & \text{otherwise} \end{cases} & \text{otherwise} \end{cases}$$
/ 0 for p mod pi = 0
|
| /p pi\
| 2*sec|- - --|
| \2 2 /
|------------------------- otherwise
$$\begin{cases} 0 & \text{for}\: p \bmod \pi = 0 \\\frac{2 \sec{\left(\frac{p}{2} - \frac{\pi}{2} \right)}}{\left(1 + \frac{\sec^{2}{\left(\frac{p}{2} - \frac{\pi}{2} \right)}}{\sec^{2}{\left(\frac{p}{2} \right)}}\right) \sec{\left(\frac{p}{2} \right)}} & \text{otherwise} \end{cases}$$
/ 0 for p mod pi = 0
|
| /p\
| 2*cos|-|
| \2/
|------------------------------ otherwise
$$\begin{cases} 0 & \text{for}\: p \bmod \pi = 0 \\\frac{2 \cos{\left(\frac{p}{2} \right)}}{\left(\frac{\cos^{2}{\left(\frac{p}{2} \right)}}{\cos^{2}{\left(\frac{p}{2} - \frac{\pi}{2} \right)}} + 1\right) \cos{\left(\frac{p}{2} - \frac{\pi}{2} \right)}} & \text{otherwise} \end{cases}$$
/ 0 for p mod pi = 0
|
| /p\
| 2*csc|-|
| \2/
|------------------------------ otherwise
$$\begin{cases} 0 & \text{for}\: p \bmod \pi = 0 \\\frac{2 \csc{\left(\frac{p}{2} \right)}}{\left(\frac{\csc^{2}{\left(\frac{p}{2} \right)}}{\csc^{2}{\left(- \frac{p}{2} + \frac{\pi}{2} \right)}} + 1\right) \csc{\left(- \frac{p}{2} + \frac{\pi}{2} \right)}} & \text{otherwise} \end{cases}$$
Piecewise((0, Mod(p = pi, 0)), (2*csc(p/2)/((1 + csc(p/2)^2/csc(pi/2 - p/2)^2)*csc(pi/2 - p/2)), True))