Mister Exam
Other calculators
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How to use it?
- Equation:
-
Equation 2tg3x=0
-
Equation sint=0.5
-
Equation tg(x)=-1/2
- Equation √3ctg(x)=1
- Express {x} in terms of y where:
- 4*x-16*y=6
- -14*x-1*y=3
- 8*x+7*y=-13
- 5*x+5*y=20
- Derivative of:
- 2tg3x
-
Identical expressions
- 2tg3x= zero
- 2tg3x equally 0
- 2tg3x equally zero
- 2tg3x=O
-
Similar expressions
- 2tg^3x-2tg^2x+3tgx-3=0
2tg3x=0 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the equation
$$2 \tan{\left(3 x \right)} = 0$$
- this is the simplest trigonometric equation
We get:
$$2 \tan{\left(3 x \right)} = 0$$
The equation is transformed to
$$\tan{\left(3 x \right)} = 0$$
This equation is transformed to
$$3 x = \pi n + \operatorname{atan}{\left(0 \right)}$$
Or
$$3 x = \pi n$$
, where n - is a integer
Divide both parts of the equation by
$$3$$
we get the answer:
$$x_{1} = \frac{\pi n}{3}$$
$$2 \tan{\left(3 x \right)} = 0$$
- this is the simplest trigonometric equation
with the change of sign in 0
We get:
$$2 \tan{\left(3 x \right)} = 0$$
Divide both parts of the equation by 2
The equation is transformed to
$$\tan{\left(3 x \right)} = 0$$
This equation is transformed to
$$3 x = \pi n + \operatorname{atan}{\left(0 \right)}$$
Or
$$3 x = \pi n$$
, where n - is a integer
Divide both parts of the equation by
$$3$$
we get the answer:
$$x_{1} = \frac{\pi n}{3}$$
Numerical answer
[src]
x1 = -50.2654824574367
x2 = -33.5103216382911
x3 = -63.8790506229925
x4 = 94.2477796076938
x5 = -35.6047167406843
x6 = -79.5870138909414
x7 = -4.18879020478639
x8 = 65.9734457253857
x9 = -46.0766922526503
x10 = -15.707963267949
x11 = 90.0589894029074
x12 = 98.4365698124802
x13 = 81.6814089933346
x14 = -85.870199198121
x15 = 6.28318530717959
x16 = 30.3687289847013
x17 = -57.5958653158129
x18 = -31.4159265358979
x19 = 61.7846555205993
x20 = 70.162235930172
x21 = 78.5398163397448
x22 = -87.9645943005142
x23 = 76.4454212373516
x24 = -92.1533845053006
x25 = -72.2566310325652
x26 = -70.162235930172
x27 = 39.7935069454707
x28 = -37.6991118430775
x29 = 4.18879020478639
x30 = -61.7846555205993
x31 = 24.0855436775217
x32 = 12.5663706143592
x33 = -39.7935069454707
x34 = -17.8023583703422
x35 = 72.2566310325652
x36 = -97.3893722612836
x37 = 8.37758040957278
x38 = -99.4837673636768
x39 = 68.0678408277789
x40 = -30.3687289847013
x41 = -90.0589894029074
x42 = 54.4542726622231
x43 = -6.28318530717959
x44 = -9.42477796076938
x45 = 85.870199198121
x46 = -19.8967534727354
x47 = 17.8023583703422
x48 = -52.3598775598299
x49 = 14.6607657167524
x50 = 46.0766922526503
x51 = 100.530964914873
x52 = -11.5191730631626
x53 = 0.0
x54 = -65.9734457253857
x55 = -21.9911485751286
x56 = -77.4926187885482
x57 = 92.1533845053006
x58 = 19.8967534727354
x59 = -13.6135681655558
x60 = 50.2654824574367
x61 = -26.1799387799149
x62 = 43.9822971502571
x63 = -53.4070751110265
x64 = 63.8790506229925
x65 = 74.3510261349584
x66 = 52.3598775598299
x67 = -83.7758040957278
x68 = 15.707963267949
x69 = 28.2743338823081
x70 = 10.471975511966
x71 = 36.6519142918809
x72 = 21.9911485751286
x73 = -96.342174710087
x74 = -2.0943951023932
x75 = -68.0678408277789
x76 = 37.6991118430775
x77 = 59.6902604182061
x78 = -28.2743338823081
x79 = 80.634211442138
x80 = -59.6902604182061
x81 = -41.8879020478639
x82 = 56.5486677646163
x83 = -24.0855436775217
x84 = 2.0943951023932
x85 = 34.5575191894877
x86 = -7.33038285837618
x87 = -74.3510261349584
x88 = -81.6814089933346
x89 = 41.8879020478639
x90 = 87.9645943005142
x91 = -43.9822971502571
x92 = 32.4631240870945
x93 = 96.342174710087
x94 = -94.2477796076938
x95 = 26.1799387799149
x96 = -75.398223686155
x97 = 83.7758040957278
x98 = 58.6430628670095
x99 = 48.1710873550435
x100 = -55.5014702134197
x101 = -48.1710873550435
x101 = -48.1710873550435
The graph