Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation sin(x)=-2
-
Equation 836-16*m=420
-
Equation x⁴-3x²-4=0
-
Equation sin(8x)+sin(10x)+cosx=0
- Express {x} in terms of y where:
- 60x^2y+75x^2y^2+120xy^260x2y+75x2y2+120xy2приx=-0,5x=−0,5,y=0,4y=0,4.
- (x-17)^2+(y+26)^2=16(x−17)2+(y+26)2=16.
- 5*x-5*y=20
- 8*x-7*y=-13
- Derivative of:
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sin(x)
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-2
- Integral of d{x}:
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sin(x)
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-2
- Canonical form:
- sin(x)
- Sum of series:
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-2
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Identical expressions
- sin(x)=- two
- sinus of (x) equally minus 2
- sinus of (x) equally minus two
- sinx=-2
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Similar expressions
- (cos2x+sinx)/sqrt(sin(x-pi/4))=0
- sin(x)=+2
- (cos(2x)-sqrt(2)*sin(x-1))/tg(x-1)=0
- (-2cos²x+sinx+1)×log0,5(-0,8cosx)=0
- sinx=-2
sin(x)=-2 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the equation
$$\sin{\left(x \right)} = -2$$
- 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.
$$\sin{\left(x \right)} = -2$$
- 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
0 + pi + I*im(asin(2)) + re(asin(2)) + -re(asin(2)) - I*im(asin(2))
$$\left(0 + \left(\operatorname{re}{\left(\operatorname{asin}{\left(2 \right)}\right)} + \pi + i \operatorname{im}{\left(\operatorname{asin}{\left(2 \right)}\right)}\right)\right) - \left(\operatorname{re}{\left(\operatorname{asin}{\left(2 \right)}\right)} + i \operatorname{im}{\left(\operatorname{asin}{\left(2 \right)}\right)}\right)$$
=
pi
$$\pi$$
product
1*(pi + I*im(asin(2)) + re(asin(2)))*(-re(asin(2)) - I*im(asin(2)))
$$\left(- \operatorname{re}{\left(\operatorname{asin}{\left(2 \right)}\right)} - i \operatorname{im}{\left(\operatorname{asin}{\left(2 \right)}\right)}\right) 1 \left(\operatorname{re}{\left(\operatorname{asin}{\left(2 \right)}\right)} + \pi + i \operatorname{im}{\left(\operatorname{asin}{\left(2 \right)}\right)}\right)$$
=
-(I*im(asin(2)) + re(asin(2)))*(pi + I*im(asin(2)) + re(asin(2)))
$$- \left(\operatorname{re}{\left(\operatorname{asin}{\left(2 \right)}\right)} + i \operatorname{im}{\left(\operatorname{asin}{\left(2 \right)}\right)}\right) \left(\operatorname{re}{\left(\operatorname{asin}{\left(2 \right)}\right)} + \pi + i \operatorname{im}{\left(\operatorname{asin}{\left(2 \right)}\right)}\right)$$
-(i*im(asin(2)) + re(asin(2)))*(pi + i*im(asin(2)) + re(asin(2)))
Rapid solution
[src]
x1 = pi + I*im(asin(2)) + re(asin(2))
$$x_{1} = \operatorname{re}{\left(\operatorname{asin}{\left(2 \right)}\right)} + \pi + i \operatorname{im}{\left(\operatorname{asin}{\left(2 \right)}\right)}$$
x2 = -re(asin(2)) - I*im(asin(2))
$$x_{2} = - \operatorname{re}{\left(\operatorname{asin}{\left(2 \right)}\right)} - i \operatorname{im}{\left(\operatorname{asin}{\left(2 \right)}\right)}$$
Numerical answer
[src]
x1 = 4.71238898038469 - 1.31695789692482*i
x2 = -1.5707963267949 + 1.31695789692482*i
x2 = -1.5707963267949 + 1.31695789692482*i
The graph