Mister Exam
Other calculators
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How to use it?
- Equation:
-
Equation 9(x-1)=x+15
-
Equation sin(x/3)=1/2
-
Equation 3*x=8
-
Equation x^2-8x+12=0
- Express {x} in terms of y where:
- 10*x-15*y=16
- 15*x+7*y=2
- 6*x-2*y=20
- -1*x+6*y=-20
-
Identical expressions
- ctg(x-pi/ three)= one /(sqrt(three))
- ctg(x minus Pi divide by 3) equally 1 divide by ( square root of (3))
- ctg(x minus Pi divide by three) equally one divide by ( square root of (three))
- ctg(x-pi/3)=1/(√(3))
- ctgx-pi/3=1/sqrt3
- ctg(x-pi divide by 3)=1 divide by (sqrt(3))
-
Similar expressions
- ctg(x+pi/3)=1/(sqrt(3))
- cot(x-pi/12)-1/sqrt(3)=0
- (5*sin(x)-5)*(tan(x)-1/sqrt(3))=0
- tan(pi*(x-3)/6)=1/sqrt(3)
- cot((x-3*pi)/4)=(-1)/sqrt(3)
ctg(x-pi/3)=1/(sqrt(3)) equation
The teacher will be very surprised to see your correct solution 😉
The solution
You have entered
[src]
/ pi\ 1
cot|x - --| = -----
\ 3 / ___
\/ 3
$$\cot{\left(x - \frac{\pi}{3} \right)} = \frac{1}{\sqrt{3}}$$
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 = -101.57816246607
x2 = -29.3215314335047
x3 = 36.6519142918809
x4 = 27.2271363311115
x5 = -4.18879020478639
x6 = -85.870199198121
x7 = 11.5191730631626
x8 = -32.4631240870945
x9 = 99.4837673636768
x10 = -67.0206432765823
x11 = 49.2182849062401
x12 = -7.33038285837618
x13 = 71.2094334813686
x14 = 52.3598775598299
x15 = -95.2949771588904
x16 = 17.8023583703422
x17 = -60.7374579694027
x18 = 83.7758040957278
x19 = 58.6430628670095
x20 = -73.3038285837618
x21 = -26.1799387799149
x22 = 77.4926187885482
x23 = -79.5870138909414
x24 = -48.1710873550435
x25 = -10.471975511966
x26 = 80.634211442138
x27 = 20.943951023932
x28 = 2.0943951023932
x29 = 24.0855436775217
x30 = 96.342174710087
x31 = -19.8967534727354
x32 = 33.5103216382911
x33 = -13.6135681655558
x34 = 5.23598775598299
x35 = 39.7935069454707
x36 = -45.0294947014537
x37 = -23.0383461263252
x38 = -1.0471975511966
x39 = 64.9262481741891
x40 = 90.0589894029074
x41 = -57.5958653158129
x42 = 8.37758040957278
x43 = 42.9350995990605
x44 = 86.9173967493176
x45 = -92.1533845053006
x46 = -89.0117918517108
x47 = 55.5014702134197
x48 = -38.7463093942741
x49 = -51.3126800086333
x50 = 68.0678408277789
x51 = -76.4454212373516
x52 = -63.8790506229925
x53 = -54.4542726622231
x54 = -16.7551608191456
x55 = 61.7846555205993
x56 = -35.6047167406843
x57 = 14.6607657167524
x58 = -41.8879020478639
x59 = 74.3510261349584
x60 = -70.162235930172
x61 = 93.2005820564972
x62 = -98.4365698124802
x63 = -82.7286065445312
x64 = 46.0766922526503
x65 = 30.3687289847013
x65 = 30.3687289847013