Mister Exam
Other calculators
-
How to use it?
- Equation:
-
Equation 6x-2x+1=5
-
Equation 2x-4=8+2x
-
Equation x^4-2*x^2-15=0
-
Equation 3^x=-1
- Express {x} in terms of y where:
- -11*x+10*y=-3
- -10*x+13*y=5
- 10*x-6*y=9
- -4*x+14*y=-2
- Integral of d{x}:
-
sint
- Derivative of:
-
sint
-
Identical expressions
- sint=- two , three
- sinus of t equally minus 2,3
- sinus of t equally minus two , three
-
Similar expressions
- sin(t)=-(1/2)*sqrt(2)
- (cos(t)+2)*3*k-2*sin(t)=0
- log(((2x+3)/(x-2)),3/5)=1
- sin(t-1)*h
- y=2*t*sin(t)-(t^2-2)*cos(t)
- sint=+2,3
sint=-2,3 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the equation
$$\sin{\left(t \right)} = - \frac{23}{10}$$
- this is the simplest trigonometric equation
As right part of the equation
modulo =
but sin
can no be more than 1 or less than -1
so the solution of the equation d'not exist.
$$\sin{\left(t \right)} = - \frac{23}{10}$$
- this is the simplest trigonometric equation
As right part of the equation
modulo =
True
but sin
can no be more than 1 or less than -1
so the solution of the equation d'not exist.
Sum and product of roots
[src]
sum
/ /23\\ / /23\\ / /23\\ / /23\\
pi + I*im|asin|--|| + re|asin|--|| + - re|asin|--|| - I*im|asin|--||
\ \10// \ \10// \ \10// \ \10//
$$\left(\operatorname{re}{\left(\operatorname{asin}{\left(\frac{23}{10} \right)}\right)} + \pi + i \operatorname{im}{\left(\operatorname{asin}{\left(\frac{23}{10} \right)}\right)}\right) + \left(- \operatorname{re}{\left(\operatorname{asin}{\left(\frac{23}{10} \right)}\right)} - i \operatorname{im}{\left(\operatorname{asin}{\left(\frac{23}{10} \right)}\right)}\right)$$
=
pi
$$\pi$$
product
/ / /23\\ / /23\\\ / / /23\\ / /23\\\ |pi + I*im|asin|--|| + re|asin|--|||*|- re|asin|--|| - I*im|asin|--||| \ \ \10// \ \10/// \ \ \10// \ \10///
$$\left(- \operatorname{re}{\left(\operatorname{asin}{\left(\frac{23}{10} \right)}\right)} - i \operatorname{im}{\left(\operatorname{asin}{\left(\frac{23}{10} \right)}\right)}\right) \left(\operatorname{re}{\left(\operatorname{asin}{\left(\frac{23}{10} \right)}\right)} + \pi + i \operatorname{im}{\left(\operatorname{asin}{\left(\frac{23}{10} \right)}\right)}\right)$$
=
/ / /23\\ / /23\\\ / / /23\\ / /23\\\ -|I*im|asin|--|| + re|asin|--|||*|pi + I*im|asin|--|| + re|asin|--||| \ \ \10// \ \10/// \ \ \10// \ \10///
$$- \left(\operatorname{re}{\left(\operatorname{asin}{\left(\frac{23}{10} \right)}\right)} + i \operatorname{im}{\left(\operatorname{asin}{\left(\frac{23}{10} \right)}\right)}\right) \left(\operatorname{re}{\left(\operatorname{asin}{\left(\frac{23}{10} \right)}\right)} + \pi + i \operatorname{im}{\left(\operatorname{asin}{\left(\frac{23}{10} \right)}\right)}\right)$$
-(i*im(asin(23/10)) + re(asin(23/10)))*(pi + i*im(asin(23/10)) + re(asin(23/10)))
Rapid solution
[src]
/ /23\\ / /23\\
t1 = pi + I*im|asin|--|| + re|asin|--||
\ \10// \ \10//
$$t_{1} = \operatorname{re}{\left(\operatorname{asin}{\left(\frac{23}{10} \right)}\right)} + \pi + i \operatorname{im}{\left(\operatorname{asin}{\left(\frac{23}{10} \right)}\right)}$$
/ /23\\ / /23\\
t2 = - re|asin|--|| - I*im|asin|--||
\ \10// \ \10//
$$t_{2} = - \operatorname{re}{\left(\operatorname{asin}{\left(\frac{23}{10} \right)}\right)} - i \operatorname{im}{\left(\operatorname{asin}{\left(\frac{23}{10} \right)}\right)}$$
t2 = -re(asin(23/10)) - i*im(asin(23/10))
Numerical answer
[src]
t1 = 4.71238898038469 - 1.47504478124143*i
t2 = -1.5707963267949 + 1.47504478124143*i
t2 = -1.5707963267949 + 1.47504478124143*i