Mister Exam
Other calculators
-
How to use it?
- Equation:
-
Equation x+(x*3)=168
-
Equation t-4/25=8
-
Equation x^2+12*x=0
-
Equation x^3=4x
- Express {x} in terms of y where:
- 15*x+2*y=8
- 1*x+4*y=-11
- 5*x-18*y=-17
- 17*x-5*y=15
- Derivative of:
-
tg(x)
- Graphing y =:
- tg(x)
- Integral of d{x}:
-
tg(x)
-
Identical expressions
- tg(x)= one /(three ^(one / two))
- tg(x) equally 1 divide by (3 to the power of (1 divide by 2))
- tg(x) equally one divide by (three to the power of (one divide by two))
- tg(x)=1/(3(1/2))
- tgx=1/31/2
- tgx=1/3^1/2
- tg(x)=1 divide by (3^(1 divide by 2))
-
Similar expressions
- -5.32tg(x/440000)+tg(x/260000)=0
- 3tgx+3=3/cos^2x
tg(x)=1/(3^(1/2)) equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the equation
$$\tan{\left(x \right)} = \frac{1}{\sqrt{3}}$$
- 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
$$\tan{\left(x \right)} = \frac{1}{\sqrt{3}}$$
- 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
$$\frac{\pi}{6}$$
=
pi -- 6
$$\frac{\pi}{6}$$
product
pi -- 6
$$\frac{\pi}{6}$$
=
pi -- 6
$$\frac{\pi}{6}$$
pi/6
Numerical answer
[src]
x1 = 38.2227106186758
x2 = -90.5825881785057
x3 = -96.8657734856853
x4 = -74.8746249105567
x5 = -56.025068989018
x6 = -65.4498469497874
x7 = 44.5058959258554
x8 = -15.1843644923507
x9 = -84.2994028713261
x10 = 0.523598775598299
x11 = 9.94837673636768
x12 = 50.789081233035
x13 = 75.9218224617533
x14 = -37.1755130674792
x15 = -34.0339204138894
x16 = 6.80678408277789
x17 = 66.497044500984
x18 = 63.3554518473942
x19 = 31.9395253114962
x20 = -21.4675497995303
x21 = -40.317105721069
x22 = 35.081117965086
x23 = -2.61799387799149
x24 = -62.3082542961976
x25 = -24.60914245312
x26 = 53.9306738866248
x27 = -5.75958653158129
x28 = -18.3259571459405
x29 = -100.007366139275
x30 = -52.8834763354282
x31 = 94.7713783832921
x32 = 16.2315620435473
x33 = 25.6563400043166
x34 = 79.0634151153431
x35 = 41.3643032722656
x36 = -81.1578102177363
x37 = -30.8923277602996
x38 = -46.6002910282486
x39 = -78.0162175641465
x40 = 13.0899693899575
x41 = 22.5147473507269
x42 = 47.6474885794452
x43 = 19.3731546971371
x44 = 91.6297857297023
x45 = -8.90117918517108
x46 = 72.7802298081635
x47 = 57.0722665402146
x48 = 60.2138591938044
x49 = 28.7979326579064
x50 = 101.054563690472
x51 = -12.0427718387609
x52 = -68.5914396033772
x53 = -87.4409955249159
x54 = -59.1666616426078
x55 = 3.66519142918809
x56 = -71.733032256967
x57 = 88.4881930761125
x58 = -49.7418836818384
x59 = -27.7507351067098
x60 = 82.2050077689329
x61 = 97.9129710368819
x62 = 69.6386371545737
x63 = -93.7241808320955
x64 = 85.3466004225227
x65 = -43.4586983746588
x65 = -43.4586983746588