Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation (x-1)*(x^2+8*x+16)=6*(x+4)
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Equation x^2+20*x+100=0
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Equation 2x+1-20x+15=6x+4
- Equation x*(-1/5)+x^2=0
- Express {x} in terms of y where:
- 7*x+17*y=-13
- 10*x+19*y=-8
- -11*x-15*y=-5
- -2*x+8*y=-7
- Limit of the function:
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sin(z)
- Integral of d{x}:
- sin(z)
- Sum of series:
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4,5
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Identical expressions
- sin(z)= four , five
- sinus of (z) equally 4,5
- sinus of (z) equally four , five
- sinz=4,5
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Similar expressions
- sin(z-i)=-4i/3
- -i2sinz-cosz=5
- sinz=3+2*i
- u=e^(x^3*y)*sin(z^2)
sin(z)=4,5 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the equation
$$\sin{\left(z \right)} = \frac{9}{2}$$
- 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.
$$\sin{\left(z \right)} = \frac{9}{2}$$
- 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
pi - re(asin(9/2)) - I*im(asin(9/2)) + I*im(asin(9/2)) + re(asin(9/2))
$$\left(\operatorname{re}{\left(\operatorname{asin}{\left(\frac{9}{2} \right)}\right)} + i \operatorname{im}{\left(\operatorname{asin}{\left(\frac{9}{2} \right)}\right)}\right) + \left(- \operatorname{re}{\left(\operatorname{asin}{\left(\frac{9}{2} \right)}\right)} + \pi - i \operatorname{im}{\left(\operatorname{asin}{\left(\frac{9}{2} \right)}\right)}\right)$$
=
pi
$$\pi$$
product
(pi - re(asin(9/2)) - I*im(asin(9/2)))*(I*im(asin(9/2)) + re(asin(9/2)))
$$\left(\operatorname{re}{\left(\operatorname{asin}{\left(\frac{9}{2} \right)}\right)} + i \operatorname{im}{\left(\operatorname{asin}{\left(\frac{9}{2} \right)}\right)}\right) \left(- \operatorname{re}{\left(\operatorname{asin}{\left(\frac{9}{2} \right)}\right)} + \pi - i \operatorname{im}{\left(\operatorname{asin}{\left(\frac{9}{2} \right)}\right)}\right)$$
=
-(I*im(asin(9/2)) + re(asin(9/2)))*(-pi + I*im(asin(9/2)) + re(asin(9/2)))
$$- \left(\operatorname{re}{\left(\operatorname{asin}{\left(\frac{9}{2} \right)}\right)} + i \operatorname{im}{\left(\operatorname{asin}{\left(\frac{9}{2} \right)}\right)}\right) \left(- \pi + \operatorname{re}{\left(\operatorname{asin}{\left(\frac{9}{2} \right)}\right)} + i \operatorname{im}{\left(\operatorname{asin}{\left(\frac{9}{2} \right)}\right)}\right)$$
-(i*im(asin(9/2)) + re(asin(9/2)))*(-pi + i*im(asin(9/2)) + re(asin(9/2)))
Rapid solution
[src]
z1 = pi - re(asin(9/2)) - I*im(asin(9/2))
$$z_{1} = - \operatorname{re}{\left(\operatorname{asin}{\left(\frac{9}{2} \right)}\right)} + \pi - i \operatorname{im}{\left(\operatorname{asin}{\left(\frac{9}{2} \right)}\right)}$$
z2 = I*im(asin(9/2)) + re(asin(9/2))
$$z_{2} = \operatorname{re}{\left(\operatorname{asin}{\left(\frac{9}{2} \right)}\right)} + i \operatorname{im}{\left(\operatorname{asin}{\left(\frac{9}{2} \right)}\right)}$$
z2 = re(asin(9/2)) + i*im(asin(9/2))
Numerical answer
[src]
z1 = 1.5707963267949 + 2.18464379160511*i
z2 = 1.5707963267949 - 2.18464379160511*i
z2 = 1.5707963267949 - 2.18464379160511*i