Mister Exam
Other calculators
-
How to use it?
- Equation:
-
Equation tg(x)=-sqrt(3)/3
-
Equation 9+6x-8x²=0
-
Equation (2x-4)(x+7)+40=0
- Equation (7x²-2x+3)-(6x+4x²-1)=-3x²+8x-4
- Express {x} in terms of y where:
- 60x^2y+75x^2y^2+120xy^260x2y+75x2y2+120xy2приx=-0,5x=−0,5,y=0,4y=0,4.
- (x-17)^2+(y+26)^2=16(x−17)2+(y+26)2=16.
- 5*x-5*y=20
- 8*x-7*y=-13
- Derivative of:
-
tg(x)
- Graphing y =:
- tg(x)
- Integral of d{x}:
-
tg(x)
-
Identical expressions
- tg(x)=-sqrt(three)/ three
- tg(x) equally minus square root of (3) divide by 3
- tg(x) equally minus square root of (three) divide by three
- tg(x)=-√(3)/3
- tgx=-sqrt3/3
- tg(x)=-sqrt(3) divide by 3
-
Similar expressions
- 2tgx–9ctgx+3=0
- tgx+tg2x=tg3x
- ctg(x)=-sqrt3/3
- tg(x-(pi/4))=-(sqrt3)/3
- (cos(2x)-sqrt(2)*sin(x-1))/tg(x-1)=0
- tg(x)=+sqrt(3)/3
tg(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 ---- 6
$$\left(- \frac{\pi}{6}\right)$$
=
-pi ---- 6
$$- \frac{\pi}{6}$$
product
-pi ---- 6
$$\left(- \frac{\pi}{6}\right)$$
=
-pi ---- 6
$$- \frac{\pi}{6}$$
Numerical answer
[src]
x1 = -60.2138591938044
x2 = 34.0339204138894
x3 = 74.8746249105567
x4 = 59.1666616426078
x5 = -35.081117965086
x6 = -38.2227106186758
x7 = -6.80678408277789
x8 = 84.2994028713261
x9 = 78.0162175641465
x10 = -91.6297857297023
x11 = -79.0634151153431
x12 = 5.75958653158129
x13 = -25.6563400043166
x14 = 8.90117918517108
x15 = 37.1755130674792
x16 = 2.61799387799149
x17 = 49.7418836818384
x18 = -69.6386371545737
x19 = 68.5914396033772
x20 = -82.2050077689329
x21 = -19.3731546971371
x22 = -75.9218224617533
x23 = -0.523598775598299
x24 = -53.9306738866248
x25 = -72.7802298081635
x26 = -16.2315620435473
x27 = -63.3554518473942
x28 = 40.317105721069
x29 = 15.1843644923507
x30 = 18.3259571459405
x31 = -101.054563690472
x32 = -28.7979326579064
x33 = -31.9395253114962
x34 = 100.007366139275
x35 = -88.4881930761125
x36 = -44.5058959258554
x37 = -97.9129710368819
x38 = -9.94837673636768
x39 = -47.6474885794452
x40 = 90.5825881785057
x41 = 27.7507351067098
x42 = 43.4586983746588
x43 = 52.8834763354282
x44 = 71.733032256967
x45 = -41.3643032722656
x46 = -22.5147473507269
x47 = 24.60914245312
x48 = -13.0899693899575
x49 = 62.3082542961976
x50 = -3.66519142918809
x51 = -94.7713783832921
x52 = 12.0427718387609
x53 = -57.0722665402146
x54 = 56.025068989018
x55 = 30.8923277602996
x56 = 96.8657734856853
x57 = 93.7241808320955
x58 = 21.4675497995303
x59 = -50.789081233035
x60 = 87.4409955249159
x61 = -85.3466004225227
x62 = 81.1578102177363
x63 = 46.6002910282486
x64 = -66.497044500984
x65 = 65.4498469497874
x65 = 65.4498469497874
The graph