Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation x^2-8*x+17=0
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Equation -x/12+x=55/12
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Equation 4-6(x+2)=3-5x
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Equation (x+2)/9=(x-3)/2
- Express {x} in terms of y where:
- -4*x+6*y=-7
- 2*x+3*y=14
- 18*x-8*y=-2
- -11*x+15*y=7
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Identical expressions
- y=acosx/ three
- y equally arc co sinus of e of ine of x divide by 3
- y equally arc co sinus of e of ine of x divide by three
- y=acosx divide by 3
y=acosx/3 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the equation:
$$y = \frac{\operatorname{acos}{\left(x \right)}}{3}$$
transform:
$$y = \frac{\operatorname{acos}{\left(x \right)}}{3}$$
Expand brackets in the right part
We get the answer: y = acos(x)/3
$$y = \frac{\operatorname{acos}{\left(x \right)}}{3}$$
transform:
$$y = \frac{\operatorname{acos}{\left(x \right)}}{3}$$
Expand brackets in the right part
y = acosx/3
We get the answer: y = acos(x)/3
The graph
Sum and product of roots
[src]
sum
re(acos(x)) I*im(acos(x))
----------- + -------------
3 3
$$\frac{\operatorname{re}{\left(\operatorname{acos}{\left(x \right)}\right)}}{3} + \frac{i \operatorname{im}{\left(\operatorname{acos}{\left(x \right)}\right)}}{3}$$
=
re(acos(x)) I*im(acos(x))
----------- + -------------
3 3
$$\frac{\operatorname{re}{\left(\operatorname{acos}{\left(x \right)}\right)}}{3} + \frac{i \operatorname{im}{\left(\operatorname{acos}{\left(x \right)}\right)}}{3}$$
product
re(acos(x)) I*im(acos(x))
----------- + -------------
3 3
$$\frac{\operatorname{re}{\left(\operatorname{acos}{\left(x \right)}\right)}}{3} + \frac{i \operatorname{im}{\left(\operatorname{acos}{\left(x \right)}\right)}}{3}$$
=
re(acos(x)) I*im(acos(x))
----------- + -------------
3 3
$$\frac{\operatorname{re}{\left(\operatorname{acos}{\left(x \right)}\right)}}{3} + \frac{i \operatorname{im}{\left(\operatorname{acos}{\left(x \right)}\right)}}{3}$$
re(acos(x))/3 + i*im(acos(x))/3
Rapid solution
[src]
re(acos(x)) I*im(acos(x))
y1 = ----------- + -------------
3 3
$$y_{1} = \frac{\operatorname{re}{\left(\operatorname{acos}{\left(x \right)}\right)}}{3} + \frac{i \operatorname{im}{\left(\operatorname{acos}{\left(x \right)}\right)}}{3}$$
y1 = re(acos(x))/3 + i*im(acos(x))/3