Господин Экзамен
Другие калькуляторы
-
Как пользоваться?
- sin(a)*sin(a) если a=-1/3
- sin(a)^4+cos(a)^4 если a=1/2
- 7*(d+7)^2-7*d^2 если d=3
- 36*b*2 если b=2
- Разложить многочлен на множители:
- x^2-6*x+5
- 9+a^2
- 36*m^2+24*m*n+4*n^2
- x^2-5*x+6
- Общий знаменатель:
- 1-6/x/12*x-36/x-x
- cos(p)/7*cos(p)/42-sin(p)/7*sin(p)/42
- x^2-16/x^3-3*x^2*x^2-9/x^2+4*x
- 9*a^2+y^2/3*a-y+6*a*y/y-3*a
- Умножение столбиком:
- 15*30
- 50*10
- 25*32
- 30*75
- Деление столбиком:
- 70/8
- 112/6
- 12012/3
- 835/4
- Раскрыть скобки в:
- (c-2)*(c+3)-c^2
- (x+6)*(x+5)
- 20*(-m+n-t)
- (6*b-9)*(9*b+6)-9*b*(6*b+9)
- Разложение числа на простые множители:
- 4356
- 2340
- 2520
- 2280
- Производная:
- -1/3
- Интеграл d{x}:
-
-1/3
-
Идентичные выражения
- sin(a)*sin(a) если a=- один / три
- синус от (a) умножить на синус от (a) если a равно минус 1 делить на 3
- синус от (a) умножить на синус от (a) если a равно минус один делить на три
- sin(a)sin(a) если a=-1/3
- sinasina если a=-1/3
- sin(a)*sin(a) при a=-1/3
- sin(a)*sin(a) если a=-1 разделить на 3
-
Похожие выражения
- sin(a)*sin(a) если a=+1/3
- (-sin(a))*sin(a) если a=-1/4
sin(a)*sin(a) если a=-1/3
Решение
Подстановка условия
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sin(a)*sin(a) при a = -1/3
подставляем
sin(a)*sin(a)
$$\sin{\left(a \right)} \sin{\left(a \right)}$$
2 sin (a)
$$\sin^{2}{\left(a \right)}$$
переменные
a = -1/3
$$a = - \frac{1}{3}$$
2 sin ((-1/3))
$$\sin^{2}{\left((-1/3) \right)}$$
2 sin (-1/3)
$$\sin^{2}{\left(- \frac{1}{3} \right)}$$
2 sin (1/3)
$$\sin^{2}{\left(\frac{1}{3} \right)}$$
sin(1/3)^2
Степени
[src]
2 sin (a)
$$\sin^{2}{\left(a \right)}$$
2
/ -I*a I*a\
-\- e + e /
-------------------
4
$$- \frac{\left(e^{i a} - e^{- i a}\right)^{2}}{4}$$
-(-exp(-i*a) + exp(i*a))^2/4
Собрать выражение
[src]
2 sin (a)
$$\sin^{2}{\left(a \right)}$$
1 cos(2*a) - - -------- 2 2
$$- \frac{\cos{\left(2 a \right)}}{2} + \frac{1}{2}$$
1/2 - cos(2*a)/2
Тригонометрическая часть
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2 sin (a)
$$\sin^{2}{\left(a \right)}$$
1 ------- 2 csc (a)
$$\frac{1}{\csc^{2}{\left(a \right)}}$$
2/ pi\
cos |a - --|
\ 2 /
$$\cos^{2}{\left(a - \frac{\pi}{2} \right)}$$
1 ------------ 2 csc (pi - a)
$$\frac{1}{\csc^{2}{\left(- a + \pi \right)}}$$
1 1 - - ---------- 2 2*sec(2*a)
$$\frac{1}{2} - \frac{1}{2 \sec{\left(2 a \right)}}$$
1 cos(2*a) - - -------- 2 2
$$- \frac{\cos{\left(2 a \right)}}{2} + \frac{1}{2}$$
1
------------
2/ pi\
sec |a - --|
\ 2 /
$$\frac{1}{\sec^{2}{\left(a - \frac{\pi}{2} \right)}}$$
1
------------
2/pi \
sec |-- - a|
\2 /
$$\frac{1}{\sec^{2}{\left(- a + \frac{\pi}{2} \right)}}$$
/pi \
sin|-- + 2*a|
1 \2 /
- - -------------
2 2
$$- \frac{\sin{\left(2 a + \frac{\pi}{2} \right)}}{2} + \frac{1}{2}$$
1 1
- - ---------------
2 /pi \
2*csc|-- - 2*a|
\2 /
$$\frac{1}{2} - \frac{1}{2 \csc{\left(- 2 a + \frac{\pi}{2} \right)}}$$
4/a\ 2/a\
- 4*cos |-| + 4*cos |-|
\2/ \2/
$$- 4 \cos^{4}{\left(\frac{a}{2} \right)} + 4 \cos^{2}{\left(\frac{a}{2} \right)}$$
2 2 1 sin (a) cos (a) - + ------- - ------- 2 2 2
$$\frac{\sin^{2}{\left(a \right)}}{2} - \frac{\cos^{2}{\left(a \right)}}{2} + \frac{1}{2}$$
2
1 1 - tan (a)
- - ---------------
2 / 2 \
2*\1 + tan (a)/
$$- \frac{- \tan^{2}{\left(a \right)} + 1}{2 \left(\tan^{2}{\left(a \right)} + 1\right)} + \frac{1}{2}$$
2/a\
4*cot |-|
\2/
--------------
2
/ 2/a\\
|1 + cot |-||
\ \2//
$$\frac{4 \cot^{2}{\left(\frac{a}{2} \right)}}{\left(\cot^{2}{\left(\frac{a}{2} \right)} + 1\right)^{2}}$$
2/a\
4*tan |-|
\2/
--------------
2
/ 2/a\\
|1 + tan |-||
\ \2//
$$\frac{4 \tan^{2}{\left(\frac{a}{2} \right)}}{\left(\tan^{2}{\left(\frac{a}{2} \right)} + 1\right)^{2}}$$
/ 0 for a mod pi = 0 | < 2 |sin (a) otherwise \
$$\begin{cases} 0 & \text{for}\: a \bmod \pi = 0 \\\sin^{2}{\left(a \right)} & \text{otherwise} \end{cases}$$
4
----------------------
2
/ 1 \ 2/a\
|1 + -------| *cot |-|
| 2/a\| \2/
| cot |-||
\ \2//
$$\frac{4}{\left(1 + \frac{1}{\cot^{2}{\left(\frac{a}{2} \right)}}\right)^{2} \cot^{2}{\left(\frac{a}{2} \right)}}$$
/ 0 for a mod pi = 0 | | 1 <------- otherwise | 2 |csc (a) \
$$\begin{cases} 0 & \text{for}\: a \bmod \pi = 0 \\\frac{1}{\csc^{2}{\left(a \right)}} & \text{otherwise} \end{cases}$$
/ 0 for a mod pi = 0 | < 2/ pi\ |cos |a - --| otherwise \ \ 2 /
$$\begin{cases} 0 & \text{for}\: a \bmod \pi = 0 \\\cos^{2}{\left(a - \frac{\pi}{2} \right)} & \text{otherwise} \end{cases}$$
2
/ 2/a pi\\ 2
|1 - cot |- + --|| *(1 + sin(a))
\ \2 4 //
---------------------------------
4
$$\frac{\left(- \cot^{2}{\left(\frac{a}{2} + \frac{\pi}{4} \right)} + 1\right)^{2} \left(\sin{\left(a \right)} + 1\right)^{2}}{4}$$
/ 0 for a mod pi = 0 | | 1 <------------ otherwise | 2/ pi\ |sec |a - --| \ \ 2 /
$$\begin{cases} 0 & \text{for}\: a \bmod \pi = 0 \\\frac{1}{\sec^{2}{\left(a - \frac{\pi}{2} \right)}} & \text{otherwise} \end{cases}$$
/ 1 for a mod pi = 0
<
1 \cos(2*a) otherwise
- - ---------------------------
2 2
$$\left(- \frac{\begin{cases} 1 & \text{for}\: a \bmod \pi = 0 \\\cos{\left(2 a \right)} & \text{otherwise} \end{cases}}{2}\right) + \frac{1}{2}$$
2
/ 2/a pi\\
|-1 + tan |- + --||
\ \2 4 //
--------------------
2
/ 2/a pi\\
|1 + tan |- + --||
\ \2 4 //
$$\frac{\left(\tan^{2}{\left(\frac{a}{2} + \frac{\pi}{4} \right)} - 1\right)^{2}}{\left(\tan^{2}{\left(\frac{a}{2} + \frac{\pi}{4} \right)} + 1\right)^{2}}$$
2 4/a\
16*sin (a)*sin |-|
\2/
----------------------
2
/ 2 4/a\\
|sin (a) + 4*sin |-||
\ \2//
$$\frac{16 \sin^{4}{\left(\frac{a}{2} \right)} \sin^{2}{\left(a \right)}}{\left(4 \sin^{4}{\left(\frac{a}{2} \right)} + \sin^{2}{\left(a \right)}\right)^{2}}$$
2
/ 2/a pi\\
|1 - cot |- + --||
\ \2 4 //
-------------------
2
/ 2/a pi\\
|1 + cot |- + --||
\ \2 4 //
$$\frac{\left(- \cot^{2}{\left(\frac{a}{2} + \frac{\pi}{4} \right)} + 1\right)^{2}}{\left(\cot^{2}{\left(\frac{a}{2} + \frac{\pi}{4} \right)} + 1\right)^{2}}$$
4/a\
16*sin |-|
\2/
------------------------
2
/ 4/a\\
| 4*sin |-||
| \2/| 2
|1 + ---------| *sin (a)
| 2 |
\ sin (a) /
$$\frac{16 \sin^{4}{\left(\frac{a}{2} \right)}}{\left(\frac{4 \sin^{4}{\left(\frac{a}{2} \right)}}{\sin^{2}{\left(a \right)}} + 1\right)^{2} \sin^{2}{\left(a \right)}}$$
/ 0 for a mod pi = 0 | | 2/a\ | 4*tan |-| | \2/ <-------------- otherwise | 2 |/ 2/a\\ ||1 + tan |-|| |\ \2// \
$$\begin{cases} 0 & \text{for}\: a \bmod \pi = 0 \\\frac{4 \tan^{2}{\left(\frac{a}{2} \right)}}{\left(\tan^{2}{\left(\frac{a}{2} \right)} + 1\right)^{2}} & \text{otherwise} \end{cases}$$
/ 0 for a mod pi = 0 | | 2/a\ | 4*cot |-| | \2/ <-------------- otherwise | 2 |/ 2/a\\ ||1 + cot |-|| |\ \2// \
$$\begin{cases} 0 & \text{for}\: a \bmod \pi = 0 \\\frac{4 \cot^{2}{\left(\frac{a}{2} \right)}}{\left(\cot^{2}{\left(\frac{a}{2} \right)} + 1\right)^{2}} & \text{otherwise} \end{cases}$$
/ 0 for a mod pi = 0 | |/ 0 for a mod pi = 0 <| |< 2 otherwise ||sin (a) otherwise \\
$$\begin{cases} 0 & \text{for}\: a \bmod \pi = 0 \\\begin{cases} 0 & \text{for}\: a \bmod \pi = 0 \\\sin^{2}{\left(a \right)} & \text{otherwise} \end{cases} & \text{otherwise} \end{cases}$$
/ 1 for a mod pi = 0
|
| 2
<-1 + cot (a)
|------------ otherwise
| 2
1 \1 + cot (a)
- - -------------------------------
2 2
$$\left(- \frac{\begin{cases} 1 & \text{for}\: a \bmod \pi = 0 \\\frac{\cot^{2}{\left(a \right)} - 1}{\cot^{2}{\left(a \right)} + 1} & \text{otherwise} \end{cases}}{2}\right) + \frac{1}{2}$$
/ 0 for a mod pi = 0
|
| 4
|---------------------- otherwise
| 2
$$\begin{cases} 0 & \text{for}\: a \bmod \pi = 0 \\\frac{4}{\left(1 + \frac{1}{\tan^{2}{\left(\frac{a}{2} \right)}}\right)^{2} \tan^{2}{\left(\frac{a}{2} \right)}} & \text{otherwise} \end{cases}$$
/ / 3*pi\ | 1 for |a + ----| mod 2*pi = 0 | \ 2 / < | 4/a\ 2/a\ |- 4*cos |-| + 4*cos |-| otherwise \ \2/ \2/
$$\begin{cases} 1 & \text{for}\: \left(a + \frac{3 \pi}{2}\right) \bmod 2 \pi = 0 \\- 4 \cos^{4}{\left(\frac{a}{2} \right)} + 4 \cos^{2}{\left(\frac{a}{2} \right)} & \text{otherwise} \end{cases}$$
2/a pi\
4*cos |- - --|
\2 2 /
---------------------------
2
/ 2/a pi\\
| cos |- - --||
| \2 2 /| 2/a\
|1 + ------------| *cos |-|
| 2/a\ | \2/
| cos |-| |
\ \2/ /
$$\frac{4 \cos^{2}{\left(\frac{a}{2} - \frac{\pi}{2} \right)}}{\left(1 + \frac{\cos^{2}{\left(\frac{a}{2} - \frac{\pi}{2} \right)}}{\cos^{2}{\left(\frac{a}{2} \right)}}\right)^{2} \cos^{2}{\left(\frac{a}{2} \right)}}$$
2/a\
4*sec |-|
\2/
--------------------------------
2
/ 2/a\ \
| sec |-| |
| \2/ | 2/a pi\
|1 + ------------| *sec |- - --|
| 2/a pi\| \2 2 /
| sec |- - --||
\ \2 2 //
$$\frac{4 \sec^{2}{\left(\frac{a}{2} \right)}}{\left(\frac{\sec^{2}{\left(\frac{a}{2} \right)}}{\sec^{2}{\left(\frac{a}{2} - \frac{\pi}{2} \right)}} + 1\right)^{2} \sec^{2}{\left(\frac{a}{2} - \frac{\pi}{2} \right)}}$$
2/pi a\
4*csc |-- - -|
\2 2/
---------------------------
2
/ 2/pi a\\
| csc |-- - -||
| \2 2/| 2/a\
|1 + ------------| *csc |-|
| 2/a\ | \2/
| csc |-| |
\ \2/ /
$$\frac{4 \csc^{2}{\left(- \frac{a}{2} + \frac{\pi}{2} \right)}}{\left(1 + \frac{\csc^{2}{\left(- \frac{a}{2} + \frac{\pi}{2} \right)}}{\csc^{2}{\left(\frac{a}{2} \right)}}\right)^{2} \csc^{2}{\left(\frac{a}{2} \right)}}$$
/ 0 for a mod pi = 0
|
| 2
| sin (a)
|------------------------ otherwise
| 2
$$\begin{cases} 0 & \text{for}\: a \bmod \pi = 0 \\\frac{\sin^{2}{\left(a \right)}}{\left(1 + \frac{\sin^{2}{\left(a \right)}}{4 \sin^{4}{\left(\frac{a}{2} \right)}}\right)^{2} \sin^{4}{\left(\frac{a}{2} \right)}} & \text{otherwise} \end{cases}$$
/ 0 for a mod pi = 0 | |/ 0 for a mod pi = 0 || || 2/a\ || 4*cot |-| <| \2/ |<-------------- otherwise otherwise || 2 ||/ 2/a\\ |||1 + cot |-|| ||\ \2// \\
$$\begin{cases} 0 & \text{for}\: a \bmod \pi = 0 \\\begin{cases} 0 & \text{for}\: a \bmod \pi = 0 \\\frac{4 \cot^{2}{\left(\frac{a}{2} \right)}}{\left(\cot^{2}{\left(\frac{a}{2} \right)} + 1\right)^{2}} & \text{otherwise} \end{cases} & \text{otherwise} \end{cases}$$
/ / 3*pi\ | 1 for |a + ----| mod 2*pi = 0 | \ 2 / | | 2 |/ 2/a pi\\ <|-1 + tan |- + --|| |\ \2 4 // |-------------------- otherwise | 2 |/ 2/a pi\\ ||1 + tan |- + --|| \\ \2 4 //
$$\begin{cases} 1 & \text{for}\: \left(a + \frac{3 \pi}{2}\right) \bmod 2 \pi = 0 \\\frac{\left(\tan^{2}{\left(\frac{a}{2} + \frac{\pi}{4} \right)} - 1\right)^{2}}{\left(\tan^{2}{\left(\frac{a}{2} + \frac{\pi}{4} \right)} + 1\right)^{2}} & \text{otherwise} \end{cases}$$
/ 0 for a mod pi = 0
|
| 2/a\
| 4*cos |-|
| \2/
|-------------------------------- otherwise
| 2
$$\begin{cases} 0 & \text{for}\: a \bmod \pi = 0 \\\frac{4 \cos^{2}{\left(\frac{a}{2} \right)}}{\left(\frac{\cos^{2}{\left(\frac{a}{2} \right)}}{\cos^{2}{\left(\frac{a}{2} - \frac{\pi}{2} \right)}} + 1\right)^{2} \cos^{2}{\left(\frac{a}{2} - \frac{\pi}{2} \right)}} & \text{otherwise} \end{cases}$$
/ 0 for a mod pi = 0
|
| 2/a pi\
| 4*sec |- - --|
| \2 2 /
|--------------------------- otherwise
| 2
$$\begin{cases} 0 & \text{for}\: a \bmod \pi = 0 \\\frac{4 \sec^{2}{\left(\frac{a}{2} - \frac{\pi}{2} \right)}}{\left(1 + \frac{\sec^{2}{\left(\frac{a}{2} - \frac{\pi}{2} \right)}}{\sec^{2}{\left(\frac{a}{2} \right)}}\right)^{2} \sec^{2}{\left(\frac{a}{2} \right)}} & \text{otherwise} \end{cases}$$
/ 0 for a mod pi = 0
|
| 2/a\
| 4*csc |-|
| \2/
|-------------------------------- otherwise
| 2
$$\begin{cases} 0 & \text{for}\: a \bmod \pi = 0 \\\frac{4 \csc^{2}{\left(\frac{a}{2} \right)}}{\left(\frac{\csc^{2}{\left(\frac{a}{2} \right)}}{\csc^{2}{\left(- \frac{a}{2} + \frac{\pi}{2} \right)}} + 1\right)^{2} \csc^{2}{\left(- \frac{a}{2} + \frac{\pi}{2} \right)}} & \text{otherwise} \end{cases}$$
Piecewise((0, Mod(a = pi, 0)), (4*csc(a/2)^2/((1 + csc(a/2)^2/csc(pi/2 - a/2)^2)^2*csc(pi/2 - a/2)^2), True))