Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation x^3-5x^2-x+5=0
-
Equation x^2-x-20=0
- Equation ctg(x/3)=-(√3/2)
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Equation 7x^2-2x+12=0
- Express {x} in terms of y where:
- 17*x-11*y=2
- -16*x-7*y=-5
- 1*x-19*y=-10
- 14*x+16*y=14
- Graphing y =:
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ctg(x/3)
- Derivative of:
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ctg(x/3)
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Identical expressions
- ctg(x/ three)=-(√ three / two)
- ctg(x divide by 3) equally minus (√3 divide by 2)
- ctg(x divide by three) equally minus (√ three divide by two)
- ctgx/3=-√3/2
- ctg(x divide by 3)=-(√3 divide by 2)
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Similar expressions
- cos(x)=(-√3/2)
- cos(2x-pi/4)=-√3/2
- sin(x)=-√3/2
- ctg(x/3)=+(√3/2)
ctg(x/3)=-(√3/2) equation
The teacher will be very surprised to see your correct solution 😉
The solution
You have entered
[src]
___ /x\ -\/ 3 cot|-| = ------- \3/ 2
$$\cot{\left(\frac{x}{3} \right)} = - \frac{\sqrt{3}}{2}$$
Rapid solution
[src]
/ ___\
|\/ 3 |
x1 = -3*acot|-----|
\ 2 /
$$x_{1} = - 3 \operatorname{acot}{\left(\frac{\sqrt{3}}{2} \right)}$$
x1 = -3*acot(sqrt(3)/2)
Sum and product of roots
[src]
sum
/ ___\
|\/ 3 |
-3*acot|-----|
\ 2 /
$$- 3 \operatorname{acot}{\left(\frac{\sqrt{3}}{2} \right)}$$
=
/ ___\
|\/ 3 |
-3*acot|-----|
\ 2 /
$$- 3 \operatorname{acot}{\left(\frac{\sqrt{3}}{2} \right)}$$
product
/ ___\
|\/ 3 |
-3*acot|-----|
\ 2 /
$$- 3 \operatorname{acot}{\left(\frac{\sqrt{3}}{2} \right)}$$
=
/ ___\
|\/ 3 |
-3*acot|-----|
\ 2 /
$$- 3 \operatorname{acot}{\left(\frac{\sqrt{3}}{2} \right)}$$
-3*acot(sqrt(3)/2)
Numerical answer
[src]
x1 = 25.7031180387577
x2 = 16.2783400779884
x3 = -11.9959938043198
x4 = 91.6765637641434
x5 = -2.57121584355039
x6 = 6.85356211721899
x7 = 44.5526739602965
x8 = -21.4207717650892
x9 = -30.8455497258585
x10 = -77.9694395297054
x11 = -49.6951056473973
x12 = -96.8189954512442
x13 = -40.2703276866279
x14 = -87.3942174904748
x15 = 72.8270078426046
x16 = 63.4022298818353
x17 = -59.1198836081667
x18 = 82.251785803374
x19 = 35.1278959995271
x20 = 101.101341724913
x21 = -68.544661568936
x22 = 53.9774519210659
x22 = 53.9774519210659