Господин Экзамен
Другие калькуляторы
-
Как пользоваться?
- x^2-4*x+3-x^2+4*x-3+2*x^2-6*x+4 если x=-4
- sin(a2) если a2=-3
- sin(6*x) если x=-1/4
- c*3*c*22 если c=3
- Разложить многочлен на множители:
- a+a*3+3^2
- 25-m^2/m-5
- z^2+z-4
- a^2+b^2+c^2
- Общий знаменатель:
- 7*c/(c+2)-(c-8)/(3*c+6)*(84)/(c^2-8*c)
- (x/5+x/2)*10/a^2
- ((x+3)/(x-3)-(x)/(x+3))/((x+1)/(x+3))
- ((y^2-16)/(10*x*y))*(5*y/(3*y+12))
- Умножение столбиком:
- 54*18
- 54*65
- 54*69
- 54*94
- Деление столбиком:
- 1542/4
- 1650/4
- 1837/4
- 1848/4
- Раскрыть скобки в:
- 2*(3*x-4)
- 4*x^2-7
- 36*x*(x+2)-(6*x+1)^2
- c*(c+3)-2*c
- Разложение числа на простые множители:
- 51471
- 74553
- 1274
- 70756
- График функции y =:
- -3
- Производная:
- -3
- Интеграл d{x}:
-
-3
-
Идентичные выражения
- sin(a2) если a2=- три
- синус от (a2) если a2 равно минус 3
- синус от (a2) если a2 равно минус три
- sina2 если a2=-3
- sin(a2) при a2=-3
-
Похожие выражения
- sin(a2) если a2=+3
-
Что Вы имели ввиду?
- sin(a^2)
sin(a2) если a2=-3
Решение
Подстановка условия
[src]
sin(a2) при a2 = -3
подставляем
sin(a2)
$$\sin{\left(a_{2} \right)}$$
sin(a2)
$$\sin{\left(a_{2} \right)}$$
переменные
a2 = -3
$$a_{2} = -3$$
sin((-3))
$$\sin{\left((-3) \right)}$$
sin(-3)
$$\sin{\left(-3 \right)}$$
-sin(3)
$$- \sin{\left(3 \right)}$$
-sin(3)
Степени
[src]
/ -I*a2 I*a2\
-I*\- e + e /
----------------------
2
$$- \frac{i \left(e^{i a_{2}} - e^{- i a_{2}}\right)}{2}$$
-i*(-exp(-i*a2) + exp(i*a2))/2
Тригонометрическая часть
[src]
1 ------- csc(a2)
$$\frac{1}{\csc{\left(a_{2} \right)}}$$
/ pi\ cos|a2 - --| \ 2 /
$$\cos{\left(a_{2} - \frac{\pi}{2} \right)}$$
1 ------------ csc(pi - a2)
$$\frac{1}{\csc{\left(- a_{2} + \pi \right)}}$$
1 ------------ / pi\ sec|a2 - --| \ 2 /
$$\frac{1}{\sec{\left(a_{2} - \frac{\pi}{2} \right)}}$$
1 ------------ /pi \ sec|-- - a2| \2 /
$$\frac{1}{\sec{\left(- a_{2} + \frac{\pi}{2} \right)}}$$
/a2\
(1 + cos(a2))*tan|--|
\2 /
$$\left(\cos{\left(a_{2} \right)} + 1\right) \tan{\left(\frac{a_{2}}{2} \right)}$$
/a2\
2*tan|--|
\2 /
------------
2/a2\
1 + tan |--|
\2 /
$$\frac{2 \tan{\left(\frac{a_{2}}{2} \right)}}{\tan^{2}{\left(\frac{a_{2}}{2} \right)} + 1}$$
/a2\
2*cot|--|
\2 /
------------
2/a2\
1 + cot |--|
\2 /
$$\frac{2 \cot{\left(\frac{a_{2}}{2} \right)}}{\cot^{2}{\left(\frac{a_{2}}{2} \right)} + 1}$$
/ 0 for a2 mod pi = 0 < \sin(a2) otherwise
$$\begin{cases} 0 & \text{for}\: a_{2} \bmod \pi = 0 \\\sin{\left(a_{2} \right)} & \text{otherwise} \end{cases}$$
2 ---------------------- / 1 \ /a2\ |1 + --------|*cot|--| | 2/a2\| \2 / | cot |--|| \ \2 //
$$\frac{2}{\left(1 + \frac{1}{\cot^{2}{\left(\frac{a_{2}}{2} \right)}}\right) \cot{\left(\frac{a_{2}}{2} \right)}}$$
/ 0 for a2 mod pi = 0 | < 1 |------- otherwise \csc(a2)
$$\begin{cases} 0 & \text{for}\: a_{2} \bmod \pi = 0 \\\frac{1}{\csc{\left(a_{2} \right)}} & \text{otherwise} \end{cases}$$
/ 0 for a2 mod pi = 0 | < / pi\ |cos|a2 - --| otherwise \ \ 2 /
$$\begin{cases} 0 & \text{for}\: a_{2} \bmod \pi = 0 \\\cos{\left(a_{2} - \frac{\pi}{2} \right)} & \text{otherwise} \end{cases}$$
/ 2/a2 pi\\
|1 - cot |-- + --||*(1 + sin(a2))
\ \2 4 //
---------------------------------
2
$$\frac{\left(- \cot^{2}{\left(\frac{a_{2}}{2} + \frac{\pi}{4} \right)} + 1\right) \left(\sin{\left(a_{2} \right)} + 1\right)}{2}$$
2/a2 pi\
-1 + tan |-- + --|
\2 4 /
------------------
2/a2 pi\
1 + tan |-- + --|
\2 4 /
$$\frac{\tan^{2}{\left(\frac{a_{2}}{2} + \frac{\pi}{4} \right)} - 1}{\tan^{2}{\left(\frac{a_{2}}{2} + \frac{\pi}{4} \right)} + 1}$$
2/a2 pi\
1 - cot |-- + --|
\2 4 /
-----------------
2/a2 pi\
1 + cot |-- + --|
\2 4 /
$$\frac{- \cot^{2}{\left(\frac{a_{2}}{2} + \frac{\pi}{4} \right)} + 1}{\cot^{2}{\left(\frac{a_{2}}{2} + \frac{\pi}{4} \right)} + 1}$$
/ 0 for a2 mod pi = 0 | | 1 <------------ otherwise | / pi\ |sec|a2 - --| \ \ 2 /
$$\begin{cases} 0 & \text{for}\: a_{2} \bmod \pi = 0 \\\frac{1}{\sec{\left(a_{2} - \frac{\pi}{2} \right)}} & \text{otherwise} \end{cases}$$
/ / 3*pi\ | 1 for |a2 + ----| mod 2*pi = 0 < \ 2 / | \sin(a2) otherwise
$$\begin{cases} 1 & \text{for}\: \left(a_{2} + \frac{3 \pi}{2}\right) \bmod 2 \pi = 0 \\\sin{\left(a_{2} \right)} & \text{otherwise} \end{cases}$$
2/a2\
4*sin |--|*sin(a2)
\2 /
---------------------
2 4/a2\
sin (a2) + 4*sin |--|
\2 /
$$\frac{4 \sin^{2}{\left(\frac{a_{2}}{2} \right)} \sin{\left(a_{2} \right)}}{4 \sin^{4}{\left(\frac{a_{2}}{2} \right)} + \sin^{2}{\left(a_{2} \right)}}$$
/ 0 for a2 mod pi = 0 | |1 - cos(a2) <----------- otherwise | /a2\ | tan|--| \ \2 /
$$\begin{cases} 0 & \text{for}\: a_{2} \bmod \pi = 0 \\\frac{- \cos{\left(a_{2} \right)} + 1}{\tan{\left(\frac{a_{2}}{2} \right)}} & \text{otherwise} \end{cases}$$
2/a2\
4*sin |--|
\2 /
------------------------
/ 4/a2\\
| 4*sin |--||
| \2 /|
|1 + ----------|*sin(a2)
| 2 |
\ sin (a2) /
$$\frac{4 \sin^{2}{\left(\frac{a_{2}}{2} \right)}}{\left(\frac{4 \sin^{4}{\left(\frac{a_{2}}{2} \right)}}{\sin^{2}{\left(a_{2} \right)}} + 1\right) \sin{\left(a_{2} \right)}}$$
/ 0 for a2 mod pi = 0 | | /a2\ | 2*tan|--| < \2 / |------------ otherwise | 2/a2\ |1 + tan |--| \ \2 /
$$\begin{cases} 0 & \text{for}\: a_{2} \bmod \pi = 0 \\\frac{2 \tan{\left(\frac{a_{2}}{2} \right)}}{\tan^{2}{\left(\frac{a_{2}}{2} \right)} + 1} & \text{otherwise} \end{cases}$$
/ 0 for a2 mod pi = 0 | | /a2\ | 2*cot|--| < \2 / |------------ otherwise | 2/a2\ |1 + cot |--| \ \2 /
$$\begin{cases} 0 & \text{for}\: a_{2} \bmod \pi = 0 \\\frac{2 \cot{\left(\frac{a_{2}}{2} \right)}}{\cot^{2}{\left(\frac{a_{2}}{2} \right)} + 1} & \text{otherwise} \end{cases}$$
/ 0 for a2 mod pi = 0
|
$$\begin{cases} 0 & \text{for}\: a_{2} \bmod \pi = 0 \\\begin{cases} 0 & \text{for}\: a_{2} \bmod \pi = 0 \\\sin{\left(a_{2} \right)} & \text{otherwise} \end{cases} & \text{otherwise} \end{cases}$$
/ 0 for a2 mod pi = 0
|
| 2
|---------------------- otherwise
$$\begin{cases} 0 & \text{for}\: a_{2} \bmod \pi = 0 \\\frac{2}{\left(1 + \frac{1}{\tan^{2}{\left(\frac{a_{2}}{2} \right)}}\right) \tan{\left(\frac{a_{2}}{2} \right)}} & \text{otherwise} \end{cases}$$
/a2\
2*sec|--|
\2 /
--------------------------------
/ 2/a2\ \
| sec |--| |
| \2 / | /a2 pi\
|1 + -------------|*sec|-- - --|
| 2/a2 pi\| \2 2 /
| sec |-- - --||
\ \2 2 //
$$\frac{2 \sec{\left(\frac{a_{2}}{2} \right)}}{\left(\frac{\sec^{2}{\left(\frac{a_{2}}{2} \right)}}{\sec^{2}{\left(\frac{a_{2}}{2} - \frac{\pi}{2} \right)}} + 1\right) \sec{\left(\frac{a_{2}}{2} - \frac{\pi}{2} \right)}}$$
/a2 pi\
2*cos|-- - --|
\2 2 /
---------------------------
/ 2/a2 pi\\
| cos |-- - --||
| \2 2 /| /a2\
|1 + -------------|*cos|--|
| 2/a2\ | \2 /
| cos |--| |
\ \2 / /
$$\frac{2 \cos{\left(\frac{a_{2}}{2} - \frac{\pi}{2} \right)}}{\left(1 + \frac{\cos^{2}{\left(\frac{a_{2}}{2} - \frac{\pi}{2} \right)}}{\cos^{2}{\left(\frac{a_{2}}{2} \right)}}\right) \cos{\left(\frac{a_{2}}{2} \right)}}$$
/pi a2\
2*csc|-- - --|
\2 2 /
---------------------------
/ 2/pi a2\\
| csc |-- - --||
| \2 2 /| /a2\
|1 + -------------|*csc|--|
| 2/a2\ | \2 /
| csc |--| |
\ \2 / /
$$\frac{2 \csc{\left(- \frac{a_{2}}{2} + \frac{\pi}{2} \right)}}{\left(1 + \frac{\csc^{2}{\left(- \frac{a_{2}}{2} + \frac{\pi}{2} \right)}}{\csc^{2}{\left(\frac{a_{2}}{2} \right)}}\right) \csc{\left(\frac{a_{2}}{2} \right)}}$$
/ / 3*pi\ | 1 for |a2 + ----| mod 2*pi = 0 | \ 2 / | | 2/a2 pi\ <-1 + tan |-- + --| | \2 4 / |------------------ otherwise | 2/a2 pi\ |1 + tan |-- + --| \ \2 4 /
$$\begin{cases} 1 & \text{for}\: \left(a_{2} + \frac{3 \pi}{2}\right) \bmod 2 \pi = 0 \\\frac{\tan^{2}{\left(\frac{a_{2}}{2} + \frac{\pi}{4} \right)} - 1}{\tan^{2}{\left(\frac{a_{2}}{2} + \frac{\pi}{4} \right)} + 1} & \text{otherwise} \end{cases}$$
/ 0 for a2 mod pi = 0 | | sin(a2) |------------------------- otherwise |/ 2 \ <| sin (a2) | 2/a2\ ||1 + ----------|*sin |--| || 4/a2\| \2 / || 4*sin |--|| |\ \2 // \
$$\begin{cases} 0 & \text{for}\: a_{2} \bmod \pi = 0 \\\frac{\sin{\left(a_{2} \right)}}{\left(1 + \frac{\sin^{2}{\left(a_{2} \right)}}{4 \sin^{4}{\left(\frac{a_{2}}{2} \right)}}\right) \sin^{2}{\left(\frac{a_{2}}{2} \right)}} & \text{otherwise} \end{cases}$$
/ 0 for a2 mod pi = 0 | |/ 0 for a2 mod pi = 0 || || /a2\ <| 2*cot|--| |< \2 / otherwise ||------------ otherwise || 2/a2\ ||1 + cot |--| \\ \2 /
$$\begin{cases} 0 & \text{for}\: a_{2} \bmod \pi = 0 \\\begin{cases} 0 & \text{for}\: a_{2} \bmod \pi = 0 \\\frac{2 \cot{\left(\frac{a_{2}}{2} \right)}}{\cot^{2}{\left(\frac{a_{2}}{2} \right)} + 1} & \text{otherwise} \end{cases} & \text{otherwise} \end{cases}$$
/ 0 for a2 mod pi = 0 | | 2*sin(a2) |------------------------------ otherwise | / 2 \ < | sin (a2) | |(1 - cos(a2))*|1 + ----------| | | 4/a2\| | | 4*sin |--|| | \ \2 // \
$$\begin{cases} 0 & \text{for}\: a_{2} \bmod \pi = 0 \\\frac{2 \sin{\left(a_{2} \right)}}{\left(1 + \frac{\sin^{2}{\left(a_{2} \right)}}{4 \sin^{4}{\left(\frac{a_{2}}{2} \right)}}\right) \left(- \cos{\left(a_{2} \right)} + 1\right)} & \text{otherwise} \end{cases}$$
/ 0 for a2 mod pi = 0
|
| /a2\
| 2*cos|--|
| \2 /
|-------------------------------- otherwise
$$\begin{cases} 0 & \text{for}\: a_{2} \bmod \pi = 0 \\\frac{2 \cos{\left(\frac{a_{2}}{2} \right)}}{\left(\frac{\cos^{2}{\left(\frac{a_{2}}{2} \right)}}{\cos^{2}{\left(\frac{a_{2}}{2} - \frac{\pi}{2} \right)}} + 1\right) \cos{\left(\frac{a_{2}}{2} - \frac{\pi}{2} \right)}} & \text{otherwise} \end{cases}$$
/ 0 for a2 mod pi = 0
|
| /a2 pi\
| 2*sec|-- - --|
| \2 2 /
|--------------------------- otherwise
$$\begin{cases} 0 & \text{for}\: a_{2} \bmod \pi = 0 \\\frac{2 \sec{\left(\frac{a_{2}}{2} - \frac{\pi}{2} \right)}}{\left(1 + \frac{\sec^{2}{\left(\frac{a_{2}}{2} - \frac{\pi}{2} \right)}}{\sec^{2}{\left(\frac{a_{2}}{2} \right)}}\right) \sec{\left(\frac{a_{2}}{2} \right)}} & \text{otherwise} \end{cases}$$
/ 0 for a2 mod pi = 0
|
| /a2\
| 2*csc|--|
| \2 /
|-------------------------------- otherwise
$$\begin{cases} 0 & \text{for}\: a_{2} \bmod \pi = 0 \\\frac{2 \csc{\left(\frac{a_{2}}{2} \right)}}{\left(\frac{\csc^{2}{\left(\frac{a_{2}}{2} \right)}}{\csc^{2}{\left(- \frac{a_{2}}{2} + \frac{\pi}{2} \right)}} + 1\right) \csc{\left(- \frac{a_{2}}{2} + \frac{\pi}{2} \right)}} & \text{otherwise} \end{cases}$$
Piecewise((0, Mod(a2 = pi, 0)), (2*csc(a2/2)/((1 + csc(a2/2)^2/csc(pi/2 - a2/2)^2)*csc(pi/2 - a2/2)), True))