Mister Exam
Other calculators
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How to use it?
- Equation:
-
Equation tgx=3/2
-
Equation sin6x=1/2
- Equation tg(x)(ctg(x)-cos(x))=2sin(2x)^2
-
Equation tgx=-(3/4)
- Express {x} in terms of y where:
- 15*x-15*y=16
- 9*x+18*y=6
- (x^2+y^2-1)^3+x^2*y^3=0
- -1*x-19*y=-10
- Integral of d{x}:
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tgx
-
3/2
- Derivative of:
-
tgx
- 3/2
- Graphing y =:
-
tgx
- Limit of the function:
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3/2
-
Identical expressions
- tgx= three / two
- tgx equally 3 divide by 2
- tgx equally three divide by two
- tgx=3 divide by 2
-
Similar expressions
- tg(x)(ctg(x)-cos(x))=2sin(2x)^2
- sin((pi*(8*x+5)/6))=sqrt(3)/2
- cos(x+pi/2)=sqrt(3)/2
- ctg(x)=-sqrt3/3
tgx=3/2 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the equation
$$\tan{\left(x \right)} = \frac{3}{2}$$
- this is the simplest trigonometric equation
This equation is transformed to
$$x = \pi n + \operatorname{atan}{\left(\frac{3}{2} \right)}$$
Or
$$x = \pi n + \operatorname{atan}{\left(\frac{3}{2} \right)}$$
, where n - is a integer
$$\tan{\left(x \right)} = \frac{3}{2}$$
- this is the simplest trigonometric equation
This equation is transformed to
$$x = \pi n + \operatorname{atan}{\left(\frac{3}{2} \right)}$$
Or
$$x = \pi n + \operatorname{atan}{\left(\frac{3}{2} \right)}$$
, where n - is a integer
Sum and product of roots
[src]
sum
0 + atan(3/2)
$$0 + \operatorname{atan}{\left(\frac{3}{2} \right)}$$
=
atan(3/2)
$$\operatorname{atan}{\left(\frac{3}{2} \right)}$$
product
1*atan(3/2)
$$1 \operatorname{atan}{\left(\frac{3}{2} \right)}$$
=
atan(3/2)
$$\operatorname{atan}{\left(\frac{3}{2} \right)}$$
atan(3/2)
Numerical answer
[src]
x1 = 35.5403129127351
x2 = 66.956239448633
x3 = 41.8234982199146
x4 = -77.5570226164975
x5 = 38.6819055663249
x6 = 13.5491643376065
x7 = -5.30039158393226
x8 = 70.0978321022228
x9 = 101.513758638121
x10 = -49.2826887341894
x11 = -27.2915401590608
x12 = 85.8057953701718
x13 = 95.2305733309411
x14 = 54.3898688342738
x15 = 32.3987202591453
x16 = -2.15879893034246
x17 = -80.6986152700873
x18 = -21.0083548518812
x19 = 26.1155349519657
x20 = -36.7163181198302
x21 = 0.982793723247329
x22 = 98.3721659845309
x23 = 79.5226100629922
x24 = -42.9995034270098
x25 = 63.8146467950432
x26 = 51.248276180684
x27 = 19.8323496447861
x28 = 22.9739422983759
x29 = -61.8490593485485
x30 = -58.7074666949587
x31 = -83.8402079236771
x32 = -64.9906520021383
x33 = 4.12438637683712
x34 = -71.2738373093179
x35 = -96.4065785380363
x36 = -52.4242813877792
x37 = 16.6907569911963
x38 = -55.565874041369
x39 = 92.0889806773513
x40 = -24.149947505471
x41 = -90.1233932308567
x42 = -46.1410960805996
x43 = 7.26597903042692
x44 = -30.4331328126506
x45 = -74.4154299629077
x46 = 48.1066835270942
x47 = -14.7251695447016
x48 = -39.85791077342
x49 = 73.2394247558126
x50 = -8.44198423752205
x51 = -17.8667621982914
x52 = 29.2571276055555
x53 = 44.9650908735044
x54 = 82.664202716582
x55 = 60.6730541414534
x56 = -93.2649858844465
x57 = 76.3810174094024
x58 = -68.1322446557281
x59 = -11.5835768911118
x60 = -86.9818005772669
x61 = 88.9473880237615
x62 = -33.5747254662404
x63 = -99.5481711916261
x64 = 10.4075716840167
x65 = 57.5314614878636
x65 = 57.5314614878636
The graph