Mister Exam
Other calculators
-
How to use it?
- Equation:
-
Equation (5x-8)(4x-3)=0
- Equation x^2-4i=0
- Equation x^4-29x^2+100=0
- Equation tg^3x-tg^2x-3tgx+3=0
- Express {x} in terms of y where:
- 9*x-8*y=6
- 15*x+15*y=16
- -4*x+18*y=-14
- 8*x+7*y=-13
- Derivative of:
-
tg(x)
-
1/4
- Graphing y =:
- tg(x)
- Integral of d{x}:
-
tg(x)
-
1/4
- Canonical form:
- 1/4
-
Identical expressions
- tg(x)= one / four
- tg(x) equally 1 divide by 4
- tg(x) equally one divide by four
- tgx=1/4
- tg(x)=1 divide by 4
-
Similar expressions
- ctg(x/2)=√3
- tg^3x-tg^2x-3tgx+3=0
- 2/tg^2x+7/tgx+5=0
tg(x)=1/4 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the equation
$$\tan{\left(x \right)} = \frac{1}{4}$$
- this is the simplest trigonometric equation
This equation is transformed to
$$x = \pi n + \operatorname{atan}{\left(\frac{1}{4} \right)}$$
Or
$$x = \pi n + \operatorname{atan}{\left(\frac{1}{4} \right)}$$
, where n - is a integer
$$\tan{\left(x \right)} = \frac{1}{4}$$
- this is the simplest trigonometric equation
This equation is transformed to
$$x = \pi n + \operatorname{atan}{\left(\frac{1}{4} \right)}$$
Or
$$x = \pi n + \operatorname{atan}{\left(\frac{1}{4} \right)}$$
, where n - is a integer
Rapid solution
[src]
x1 = atan(1/4)
$$x_{1} = \operatorname{atan}{\left(\frac{1}{4} \right)}$$
x1 = atan(1/4)
Sum and product of roots
[src]
sum
atan(1/4)
$$\operatorname{atan}{\left(\frac{1}{4} \right)}$$
=
atan(1/4)
$$\operatorname{atan}{\left(\frac{1}{4} \right)}$$
product
atan(1/4)
$$\operatorname{atan}{\left(\frac{1}{4} \right)}$$
=
atan(1/4)
$$\operatorname{atan}{\left(\frac{1}{4} \right)}$$
atan(1/4)
Numerical answer
[src]
x1 = 44.227275813384
x2 = 94.4927582708207
x3 = 63.0768317349227
x4 = -34.3125405263609
x5 = -100.285986251747
x6 = 69.3600170421023
x7 = -68.8700597158486
x8 = 31.6609051990248
x9 = -24.8877625655915
x10 = -53.1620964478996
x11 = -50.0205037943098
x12 = -6.03820664405272
x13 = 78.7847950028717
x14 = -65.7284670622588
x15 = -31.1709478727711
x16 = 56.7936464277431
x17 = 3.38657131671666
x18 = 22.2361272382554
x19 = -97.1443935981567
x20 = -56.3036891014894
x21 = -78.294837676618
x22 = 53.6520537741534
x23 = 34.8024978526146
x24 = 88.2095729636411
x25 = -2.89661399046293
x26 = 91.3511656172309
x27 = -37.4541331799507
x28 = 47.3688684669738
x29 = 59.9352390813329
x30 = -21.7461699120017
x31 = -18.6045772584119
x32 = -94.0028009445669
x33 = 12.811349277486
x34 = 81.9263876564615
x35 = 0.244978663126864
x36 = 97.6343509244105
x37 = -72.0116523694384
x38 = -87.7196156373873
x39 = -75.1532450230282
x40 = -40.5957258335404
x41 = 75.6432023492819
x42 = 85.0679803100513
x43 = -28.0293552191813
x44 = -84.5780229837976
x45 = 19.0945345846656
x46 = 66.2184243885125
x47 = -90.8612082909771
x48 = -15.4629846048221
x49 = 72.5016096956921
x50 = -9.17979929764252
x51 = -81.4364303302078
x52 = -46.87891114072
x53 = 6.52816397030645
x54 = 28.519312545435
x55 = 100.775943578
x56 = 37.9440905062044
x57 = -59.4452817550792
x58 = 41.0856831597942
x59 = 9.66975662389624
x60 = -43.7373184871302
x61 = 50.5104611205636
x62 = -62.586874408669
x63 = 15.9529419310758
x64 = -12.3213919512323
x65 = 25.3777198918452
x65 = 25.3777198918452