Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation cos(z)=3
- Equation (x+1)/(x-3)-(8)/(x+3)=24/(x^2-9)
- Equation (4^sin(2*x)-2^2*sqrt(3)*sin(x))/sqrt(7*sin(x))=0
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Equation x^4=(9x-22)^2
- Express {x} in terms of y where:
- 8*x-7*y=-13
- 9*x+18*y=6
- 15*x-15*y=16
- (x^2+y^2-1)^3+x^2*y^3=0
- Derivative of:
- cos(z)
- Limit of the function:
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cos(z)
- Integral of d{x}:
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cos(z)
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Identical expressions
- cos(z)= three
- co sinus of e of (z) equally 3
- co sinus of e of (z) equally three
- cosz=3
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Similar expressions
- isinz+cosz=i-1
- i*sinz+cosz=i-1
- isinz+cosz=i
cos(z)=3 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the equation
$$\cos{\left(z \right)} = 3$$
- this is the simplest trigonometric equation
As right part of the equation
modulo =
$$3 > 1$$
but cos can no be more than 1 or less than -1
so the solution of the equation d'not exist.
$$\cos{\left(z \right)} = 3$$
- this is the simplest trigonometric equation
As right part of the equation
modulo =
$$3 > 1$$
but cos 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
2*pi - I*im(acos(3)) + I*im(acos(3))
$$\left(2 \pi - i \operatorname{im}{\left(\operatorname{acos}{\left(3 \right)}\right)}\right) + \left(i \operatorname{im}{\left(\operatorname{acos}{\left(3 \right)}\right)}\right)$$
=
2*pi
$$2 \pi$$
product
2*pi - I*im(acos(3)) * I*im(acos(3))
$$\left(2 \pi - i \operatorname{im}{\left(\operatorname{acos}{\left(3 \right)}\right)}\right) * \left(i \operatorname{im}{\left(\operatorname{acos}{\left(3 \right)}\right)}\right)$$
=
(2*pi*I + im(acos(3)))*im(acos(3))
$$\left(\operatorname{im}{\left(\operatorname{acos}{\left(3 \right)}\right)} + 2 i \pi\right) \operatorname{im}{\left(\operatorname{acos}{\left(3 \right)}\right)}$$
Rapid solution
[src]
z_1 = 2*pi - I*im(acos(3))
$$z_{1} = 2 \pi - i \operatorname{im}{\left(\operatorname{acos}{\left(3 \right)}\right)}$$
z_2 = I*im(acos(3))
$$z_{2} = i \operatorname{im}{\left(\operatorname{acos}{\left(3 \right)}\right)}$$
Numerical answer
[src]
z1 = 6.28318530717959 - 1.76274717403909*i
z2 = 1.76274717403909*i
z2 = 1.76274717403909*i
The graph