Mister Exam
Other calculators
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How to use it?
- Equation:
-
Equation (x+10)^2=(5-x)^2
-
Equation tg(x)=0
-
Equation sinx=1/2
-
Equation 3x^2+6x=0
- Express {x} in terms of y where:
- 10*x+9*y=-4
- -12*x+3*y=-9
- -10*x-16*y=-6
- 16*x+7*y=8
- Limit of the function:
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tan(x)
- Graphing y =:
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tan(x)
- Integral of d{x}:
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tan(x)
-
Identical expressions
- tan(x)=+sqrt(three)/ three
- tangent of (x) equally plus square root of (3) divide by 3
- tangent of (x) equally plus 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)=-sqrt(3)/3
- tan(x/2)=0.567
tan(x)=+sqrt(3)/3 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the equation
$$\tan{\left(x \right)} = \frac{\sqrt{3}}{3}$$
- 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
$$\tan{\left(x \right)} = \frac{\sqrt{3}}{3}$$
- 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
$$0 + \frac{\pi}{6}$$
=
pi -- 6
$$\frac{\pi}{6}$$
product
pi 1*-- 6
$$1 \frac{\pi}{6}$$
=
pi -- 6
$$\frac{\pi}{6}$$
pi/6
Numerical answer
[src]
x1 = 38.2227106186758
x2 = -21.4675497995303
x3 = 0.523598775598299
x4 = 16.2315620435473
x5 = -52.8834763354282
x6 = -15.1843644923507
x7 = -100.007366139275
x8 = 69.6386371545737
x9 = 3.66519142918809
x10 = -87.4409955249159
x11 = -18.3259571459405
x12 = 53.9306738866248
x13 = -68.5914396033772
x14 = 75.9218224617533
x15 = 88.4881930761125
x16 = -96.8657734856853
x17 = 9.94837673636768
x18 = -93.7241808320955
x19 = 97.9129710368819
x20 = -37.1755130674792
x21 = 94.7713783832921
x22 = -30.8923277602996
x23 = -56.025068989018
x24 = 79.0634151153431
x25 = -5.75958653158129
x26 = 66.497044500984
x27 = 91.6297857297023
x28 = -34.0339204138894
x29 = -71.733032256967
x30 = 47.6474885794452
x31 = -78.0162175641465
x32 = -65.4498469497874
x33 = -40.317105721069
x34 = 13.0899693899575
x35 = -49.7418836818384
x36 = -8.90117918517108
x37 = -84.2994028713261
x38 = 82.2050077689329
x39 = -59.1666616426078
x40 = -74.8746249105567
x41 = -81.1578102177363
x42 = 35.081117965086
x43 = -90.5825881785057
x44 = -27.7507351067098
x45 = 50.789081233035
x46 = -2.61799387799149
x47 = -46.6002910282486
x48 = 19.3731546971371
x49 = -12.0427718387609
x50 = -62.3082542961976
x51 = 31.9395253114962
x52 = 22.5147473507269
x53 = 101.054563690472
x54 = -43.4586983746588
x55 = 85.3466004225227
x56 = 44.5058959258554
x57 = 72.7802298081635
x58 = 28.7979326579064
x59 = 25.6563400043166
x60 = 41.3643032722656
x61 = -24.60914245312
x62 = 57.0722665402146
x63 = 6.80678408277789
x64 = 63.3554518473942
x65 = 60.2138591938044
x65 = 60.2138591938044
The graph