Mister Exam
Other calculators
-
How to use it?
- Equation:
- Equation 4sin^2x+4sinx+1=0
-
Equation tgx=1/6
-
Equation 4cosx+sin3x−8x=x^3+4
- Equation 13x-4x+x=0,27
- Express {x} in terms of y where:
- 9*x+18*y=6
- 15*x-15*y=16
- sqrt(x^2+y^2+4x-6y-12)+(x^2+10x-27)=8-|y-9|+|y-3|
- (x^2+y^2-1)^3+x^2*y^3=0
- Integral of d{x}:
-
tgx
- 1/6
- Derivative of:
-
tgx
-
1/6
- Graphing y =:
-
tgx
- Canonical form:
- 1/6
-
Identical expressions
- tgx= one / six
- tgx equally 1 divide by 6
- tgx equally one divide by six
- tgx=1 divide by 6
-
Similar expressions
- tg((pi(4x-21))/6)=(sqrt(3))/3
- ctg(x)=(√3/3)
- ctg(x)=-5
tgx=1/6 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the equation
$$\tan{\left(x \right)} = \frac{1}{6}$$
- this is the simplest trigonometric equation
This equation is transformed to
$$x = \pi n + \operatorname{atan}{\left(\frac{1}{6} \right)}$$
Or
$$x = \pi n + \operatorname{atan}{\left(\frac{1}{6} \right)}$$
, where n - is a integer
$$\tan{\left(x \right)} = \frac{1}{6}$$
- this is the simplest trigonometric equation
This equation is transformed to
$$x = \pi n + \operatorname{atan}{\left(\frac{1}{6} \right)}$$
Or
$$x = \pi n + \operatorname{atan}{\left(\frac{1}{6} \right)}$$
, where n - is a integer
Sum and product of roots
[src]
sum
0 + atan(1/6)
$$0 + \operatorname{atan}{\left(\frac{1}{6} \right)}$$
=
atan(1/6)
$$\operatorname{atan}{\left(\frac{1}{6} \right)}$$
product
1*atan(1/6)
$$1 \operatorname{atan}{\left(\frac{1}{6} \right)}$$
=
atan(1/6)
$$\operatorname{atan}{\left(\frac{1}{6} \right)}$$
atan(1/6)
Numerical answer
[src]
x1 = 31.5810752133126
x2 = 19.0147045989534
x3 = 75.5633723635697
x4 = -9.25962928335475
x5 = 12.7315192917738
x6 = -43.8171484728425
x7 = 56.7138164420309
x8 = -75.2330750087404
x9 = -59.5251117407914
x10 = -100.365816237459
x11 = 41.0058531740819
x12 = 84.988150324339
x13 = -37.5339631656629
x14 = -40.6755558192527
x15 = 88.1297429779288
x16 = 59.8554090956207
x17 = -97.224223583869
x18 = -31.2507778584833
x19 = 62.9970017492105
x20 = 97.5545209386982
x21 = 25.297889906133
x22 = 28.4394825597228
x23 = 72.4217797099799
x24 = -46.9587411264323
x25 = -34.3923705120731
x26 = -87.7994456230996
x27 = -90.9410382766894
x28 = -56.3835190872016
x29 = -53.2419264336119
x30 = -15.5428145905343
x31 = 22.1562972525432
x32 = 81.8465576707492
x33 = -62.6667043943812
x34 = 91.2713356315186
x35 = 3.30674133100442
x36 = -2.97644397617517
x37 = -72.0914823551506
x38 = 6.44833398459421
x39 = 78.7049650171595
x40 = 34.7226678669024
x41 = -50.1003337800221
x42 = -12.4012219369445
x43 = 37.8642605204921
x44 = 44.1474458276717
x45 = 94.4129282851084
x46 = 66.1385944028003
x47 = 69.2801870563901
x48 = 0.165148677414627
x49 = -18.6844072441241
x50 = -78.3746676623302
x51 = -65.808297047971
x52 = -21.8259998977139
x53 = 47.2890384812615
x54 = -28.1091852048935
x55 = 50.4306311348513
x56 = -84.6578529695098
x57 = 9.58992663818401
x58 = -6.11803662976496
x59 = 100.696113592288
x60 = -81.51626031592
x61 = 15.8731119453636
x62 = -94.0826309302792
x63 = -24.9675925513037
x64 = -68.9498897015608
x65 = 53.5722237884411
x65 = 53.5722237884411
The graph