Mister Exam
Other calculators
-
How to use it?
- Equation:
-
Equation tan(x)=-sqrt(3)/3
-
Equation 25x^3-10x^2+x=0
-
Equation 49x^3+14x^2+x=0
-
Equation sin(6*x-pi/6)=1/2
- Express {x} in terms of y where:
- sqrt(x^2+y^2+4x-6y-12)+(x^2+10x-27)=8-|y-9|+|y-3|
- 10*x-1*y=10
- 15*x-17*y=19
- 9*x-8*y=6
- Graphing y =:
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tan(x)
- Derivative of:
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tan(x)
- Limit of the function:
-
tan(x)
-
Identical expressions
- tan(x)=-sqrt(three)/ three
- tangent of (x) equally minus square root of (3) divide by 3
- tangent of (x) equally minus square root of (three) divide by three
- tan(x)=-√(3)/3
- tanx=-sqrt3/3
- tan(x)=-sqrt(3) divide by 3
-
Similar expressions
- tan(x-pi/4)=(-1)/sqrt(3)
- tan(x)=+sqrt(3)/3
- tg(x-(pi/4))=-(sqrt3)/3
tan(x)=-sqrt(3)/3 equation
The teacher will be very surprised to see your correct solution 😉
The solution
You have entered
[src]
___
-\/ 3
tan(x) = -------
3
$$\tan{\left(x \right)} = \frac{\left(-1\right) \sqrt{3}}{3}$$
Detail solution
Given the equation
$$\tan{\left(x \right)} = \frac{\left(-1\right) \sqrt{3}}{3}$$
- this is the simplest trigonometric equation
This equation is transformed to
$$x = \pi n + \operatorname{atan}{\left(- \frac{\sqrt{3}}{3} \right)}$$
Or
$$x = \pi n - \frac{\pi}{6}$$
, where n - is a integer
$$\tan{\left(x \right)} = \frac{\left(-1\right) \sqrt{3}}{3}$$
- this is the simplest trigonometric equation
This equation is transformed to
$$x = \pi n + \operatorname{atan}{\left(- \frac{\sqrt{3}}{3} \right)}$$
Or
$$x = \pi n - \frac{\pi}{6}$$
, where n - is a integer
Sum and product of roots
[src]
sum
pi
0 - --
6
$$- \frac{\pi}{6} + 0$$
=
-pi ---- 6
$$- \frac{\pi}{6}$$
product
-pi 1*---- 6
$$1 \left(- \frac{\pi}{6}\right)$$
=
-pi ---- 6
$$- \frac{\pi}{6}$$
-pi/6
Numerical answer
[src]
x1 = 52.8834763354282
x2 = 30.8923277602996
x3 = -9.94837673636768
x4 = -28.7979326579064
x5 = 65.4498469497874
x6 = 84.2994028713261
x7 = 5.75958653158129
x8 = 62.3082542961976
x9 = 100.007366139275
x10 = -94.7713783832921
x11 = -53.9306738866248
x12 = -85.3466004225227
x13 = 15.1843644923507
x14 = -88.4881930761125
x15 = -6.80678408277789
x16 = 12.0427718387609
x17 = 81.1578102177363
x18 = -63.3554518473942
x19 = -75.9218224617533
x20 = -72.7802298081635
x21 = -66.497044500984
x22 = -35.081117965086
x23 = -91.6297857297023
x24 = -3.66519142918809
x25 = 90.5825881785057
x26 = 46.6002910282486
x27 = 18.3259571459405
x28 = 21.4675497995303
x29 = -16.2315620435473
x30 = 87.4409955249159
x31 = -38.2227106186758
x32 = 43.4586983746588
x33 = 78.0162175641465
x34 = 27.7507351067098
x35 = 40.317105721069
x36 = 59.1666616426078
x37 = -25.6563400043166
x38 = -101.054563690472
x39 = -13.0899693899575
x40 = -19.3731546971371
x41 = 49.7418836818384
x42 = 24.60914245312
x43 = 68.5914396033772
x44 = 96.8657734856853
x45 = 74.8746249105567
x46 = 2.61799387799149
x47 = -57.0722665402146
x48 = -47.6474885794452
x49 = -41.3643032722656
x50 = 56.025068989018
x51 = -97.9129710368819
x52 = -44.5058959258554
x53 = 34.0339204138894
x54 = -22.5147473507269
x55 = -31.9395253114962
x56 = 37.1755130674792
x57 = 8.90117918517108
x58 = 93.7241808320955
x59 = -0.523598775598299
x60 = -50.789081233035
x61 = -82.2050077689329
x62 = 71.733032256967
x63 = -69.6386371545737
x64 = -60.2138591938044
x65 = -79.0634151153431
x65 = -79.0634151153431
The graph