Mister Exam
Other calculators
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How to use it?
- Equation:
-
Equation x^3=125
-
Equation 26x-6=8x-42
- Equation cos4xcos2x=sin3xsin5x
-
Equation ctg(x)=-sqrt3/3
- Express {x} in terms of y where:
- (x^2+y^2-1)^3+x^2*y^3=0
- -1*x-19*y=-10
- 4*x-16*y=6
- 5*x+5*y=20
- Derivative of:
-
ctg(x)
- Integral of d{x}:
-
ctg(x)
- Graphing y =:
- ctg(x)
-
Identical expressions
- ctg(x)=-sqrt three /3
- ctg(x) equally minus square root of 3 divide by 3
- ctg(x) equally minus square root of three divide by 3
- ctg(x)=-√3/3
- ctgx=-sqrt3/3
- ctg(x)=-sqrt3 divide by 3
-
Similar expressions
- x-sqrt((4-sqrt(3)/3))=0
- ctgx/3-1=0
- tan(x)=-sqrt(3)/3
- (x^2-(a+4)*x+2*a+4)*(cot(x))/(pi*x/3-sqrt(3)/3)=0
- tg(x-(pi/4))=-(sqrt3)/3
- (ctgx+3)^2+2a^3+3a^2=(a^2+2a+3)*(ctgx+3)
- ctg(x)=+sqrt3/3
ctg(x)=-sqrt3/3 equation
The teacher will be very surprised to see your correct solution 😉
The solution
You have entered
[src]
___
-\/ 3
cot(x) = -------
3
$$\cot{\left(x \right)} = \frac{\left(-1\right) \sqrt{3}}{3}$$
Detail solution
Given the equation
$$\cot{\left(x \right)} = \frac{\left(-1\right) \sqrt{3}}{3}$$
- this is the simplest trigonometric equation
This equation is transformed to
$$x = \pi n + \operatorname{acot}{\left(- \frac{\sqrt{3}}{3} \right)}$$
Or
$$x = \pi n - \frac{\pi}{3}$$
, where n - is a integer
$$\cot{\left(x \right)} = \frac{\left(-1\right) \sqrt{3}}{3}$$
- this is the simplest trigonometric equation
This equation is transformed to
$$x = \pi n + \operatorname{acot}{\left(- \frac{\sqrt{3}}{3} \right)}$$
Or
$$x = \pi n - \frac{\pi}{3}$$
, where n - is a integer
Sum and product of roots
[src]
sum
-pi ---- 3
$$\left(- \frac{\pi}{3}\right)$$
=
-pi ---- 3
$$- \frac{\pi}{3}$$
product
-pi ---- 3
$$\left(- \frac{\pi}{3}\right)$$
=
-pi ---- 3
$$- \frac{\pi}{3}$$
Numerical answer
[src]
x1 = -41.8879020478639
x2 = -79.5870138909414
x3 = -26.1799387799149
x4 = -67.0206432765823
x5 = 2.0943951023932
x6 = 61.7846555205993
x7 = 17.8023583703422
x8 = -45.0294947014537
x9 = -89.0117918517108
x10 = -76.4454212373516
x11 = -95.2949771588904
x12 = -82.7286065445312
x13 = 77.4926187885482
x14 = -23.0383461263252
x15 = 33.5103216382911
x16 = 68.0678408277789
x17 = -10.471975511966
x18 = -85.870199198121
x19 = 24.0855436775217
x20 = -4.18879020478639
x21 = -60.7374579694027
x22 = 11.5191730631626
x23 = -92.1533845053006
x24 = 90.0589894029074
x25 = 5.23598775598299
x26 = -51.3126800086333
x27 = 99.4837673636768
x28 = 93.2005820564972
x29 = 49.2182849062401
x30 = 27.2271363311115
x31 = -73.3038285837618
x32 = -54.4542726622231
x33 = -32.4631240870945
x34 = -38.7463093942741
x35 = -57.5958653158129
x36 = -48.1710873550435
x37 = 42.9350995990605
x38 = 36.6519142918809
x39 = -13.6135681655558
x40 = -98.4365698124802
x41 = 74.3510261349584
x42 = 30.3687289847013
x43 = -16.7551608191456
x44 = 96.342174710087
x45 = 58.6430628670095
x46 = 20.943951023932
x47 = 83.7758040957278
x48 = 14.6607657167524
x49 = -29.3215314335047
x50 = 55.5014702134197
x51 = 86.9173967493176
x52 = 39.7935069454707
x53 = -63.8790506229925
x54 = -19.8967534727354
x55 = -7.33038285837618
x56 = 46.0766922526503
x57 = -1.0471975511966
x58 = 64.9262481741891
x59 = -35.6047167406843
x60 = -70.162235930172
x61 = 80.634211442138
x62 = 71.2094334813686
x63 = 8.37758040957278
x64 = 52.3598775598299
x64 = 52.3598775598299
The graph