Mister Exam
Other calculators
-
How to use it?
- Equation:
-
Equation x^2+9=(x+9)^2
-
Equation cos(x)=(1/2)
-
Equation cos(x)=-1
-
Equation x^2=-16
- Express {x} in terms of y where:
- 18*x-20*y=-7
- 18*x-12*y=-20
- -13*x+7*y=11
- -19*x-14*y=-8
- Limit of the function:
-
tan(x)
- -sqrt(3)
- Graphing y =:
-
tan(x)
- Integral of d{x}:
-
tan(x)
-
Identical expressions
- tan(x)=-sqrt(three)
- tangent of (x) equally minus square root of (3)
- tangent of (x) equally minus square root of (three)
- tan(x)=-√(3)
- tanx=-sqrt3
-
Similar expressions
- sqrt(30)*log(x-10*sqrt(30))/2-sqrt(30)*log(x+10*sqrt(30))/2=Const-t
- tan(x)=+sqrt(3)
- -tan(x/2)=1/2*ln(2)
- tan(x/3+pi/6)=-1
- tan(x/2)=0
tan(x)=-sqrt(3) equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the equation
$$\tan{\left(x \right)} = - \sqrt{3}$$
- this is the simplest trigonometric equation
This equation is transformed to
$$x = \pi n + \operatorname{atan}{\left(- \sqrt{3} \right)}$$
Or
$$x = \pi n - \frac{\pi}{3}$$
, where n - is a integer
$$\tan{\left(x \right)} = - \sqrt{3}$$
- this is the simplest trigonometric equation
This equation is transformed to
$$x = \pi n + \operatorname{atan}{\left(- \sqrt{3} \right)}$$
Or
$$x = \pi n - \frac{\pi}{3}$$
, where n - is a integer
Sum and product of roots
[src]
sum
-pi ---- 3
$$- \frac{\pi}{3}$$
=
-pi ---- 3
$$- \frac{\pi}{3}$$
product
-pi ---- 3
$$- \frac{\pi}{3}$$
=
-pi ---- 3
$$- \frac{\pi}{3}$$
-pi/3
Numerical answer
[src]
x1 = -67.0206432765823
x2 = -32.4631240870945
x3 = 8.37758040957278
x4 = -41.8879020478639
x5 = -63.8790506229925
x6 = -79.5870138909414
x7 = 2.0943951023932
x8 = -35.6047167406843
x9 = 49.2182849062401
x10 = 5.23598775598299
x11 = -82.7286065445312
x12 = -13.6135681655558
x13 = 68.0678408277789
x14 = -7.33038285837618
x15 = -26.1799387799149
x16 = -23.0383461263252
x17 = -60.7374579694027
x18 = 27.2271363311115
x19 = -4.18879020478639
x20 = -89.0117918517108
x21 = 74.3510261349584
x22 = 52.3598775598299
x23 = -76.4454212373516
x24 = 90.0589894029074
x25 = -85.870199198121
x26 = 96.342174710087
x27 = -73.3038285837618
x28 = 77.4926187885482
x29 = -45.0294947014537
x30 = 64.9262481741891
x31 = 30.3687289847013
x32 = 36.6519142918809
x33 = 71.2094334813686
x34 = -19.8967534727354
x35 = 80.634211442138
x36 = -98.4365698124802
x37 = 55.5014702134197
x38 = -57.5958653158129
x39 = 17.8023583703422
x40 = -29.3215314335047
x41 = 33.5103216382911
x42 = -38.7463093942741
x43 = 83.7758040957278
x44 = -51.3126800086333
x45 = 42.9350995990605
x46 = 61.7846555205993
x47 = -1.0471975511966
x48 = 99.4837673636768
x49 = 58.6430628670095
x50 = -92.1533845053006
x51 = 14.6607657167524
x52 = -70.162235930172
x53 = 46.0766922526503
x54 = -16.7551608191456
x55 = 39.7935069454707
x56 = -95.2949771588904
x57 = 93.2005820564972
x58 = 20.943951023932
x59 = -101.57816246607
x60 = 11.5191730631626
x61 = 24.0855436775217
x62 = -54.4542726622231
x63 = -48.1710873550435
x64 = -10.471975511966
x64 = -10.471975511966
The graph