Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation 1-7(4+2x)=-9-4x
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Equation 10x+9=7x
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Equation (x+2)^2+(x-3)^2=2x^2
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Equation 6(3x+1)-3x=11x
- Express {x} in terms of y where:
- -5*x+5*y=-9
- -2*x-1*y=-8
- 1*x-4*y=1
- 4*x+15*y=19
- Integral of d{x}:
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tgx
- Derivative of:
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tgx
- Graphing y =:
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tgx
- Limit of the function:
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1/7
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Identical expressions
- tgx= one / seven
- tgx equally 1 divide by 7
- tgx equally one divide by seven
- tgx=1 divide by 7
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Similar expressions
- (9x-4)/5-(6x-1)/7=5
- arctg(xy)
tgx=1/7 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the equation
$$\tan{\left(x \right)} = \frac{1}{7}$$
- this is the simplest trigonometric equation
This equation is transformed to
$$x = \pi n + \operatorname{atan}{\left(\frac{1}{7} \right)}$$
Or
$$x = \pi n + \operatorname{atan}{\left(\frac{1}{7} \right)}$$
, where n - is a integer
$$\tan{\left(x \right)} = \frac{1}{7}$$
- this is the simplest trigonometric equation
This equation is transformed to
$$x = \pi n + \operatorname{atan}{\left(\frac{1}{7} \right)}$$
Or
$$x = \pi n + \operatorname{atan}{\left(\frac{1}{7} \right)}$$
, where n - is a integer
Sum and product of roots
[src]
sum
0 + atan(1/7)
$$0 + \operatorname{atan}{\left(\frac{1}{7} \right)}$$
=
atan(1/7)
$$\operatorname{atan}{\left(\frac{1}{7} \right)}$$
product
1*atan(1/7)
$$1 \operatorname{atan}{\left(\frac{1}{7} \right)}$$
=
atan(1/7)
$$\operatorname{atan}{\left(\frac{1}{7} \right)}$$
atan(1/7)
Numerical answer
[src]
x1 = -53.2651780564223
x2 = 88.1064913551184
x3 = 31.5578235905021
x4 = -72.1147339779611
x5 = -78.3979192851407
x6 = 69.2569354335796
x7 = 9.56667501537354
x8 = 59.8321574728102
x9 = 40.9826015512715
x10 = -2.99969559898563
x11 = -56.4067707100121
x12 = -31.2740294812938
x13 = 37.8410088976817
x14 = -24.9908441741142
x15 = 78.681713394349
x16 = -18.7076588669346
x17 = -59.5483633636019
x18 = -81.5395119387305
x19 = 91.2480840087082
x20 = 28.4162309369123
x21 = -68.9731413243713
x22 = -21.8492515205244
x23 = 84.9648987015286
x24 = 3.28348970819396
x25 = 25.2746382833225
x26 = -37.5572147884734
x27 = 66.1153427799898
x28 = 47.2657868584511
x29 = 34.6994162440919
x30 = -9.28288090616522
x31 = -97.2474752066794
x32 = -84.6811045923203
x33 = -100.389067860269
x34 = 94.389676662298
x35 = -12.424473559755
x36 = -40.6988074420631
x37 = 72.3985280871694
x38 = 100.672861969478
x39 = -75.2563266315509
x40 = -62.6899560171917
x41 = 12.7082676689633
x42 = -94.1058825530896
x43 = 44.1241942048613
x44 = 18.9914529761429
x45 = -28.132436827704
x46 = 53.5489721656307
x47 = 6.42508236178375
x48 = -87.82269724591
x49 = 22.1330456297327
x50 = 50.4073795120409
x51 = -50.1235854028325
x52 = 15.8498603225531
x53 = 97.5312693158878
x54 = -43.8404000956529
x55 = -15.5660662133448
x56 = -65.8315486707815
x57 = -90.9642898994998
x58 = -34.4156221348836
x59 = -46.9819927492427
x60 = 75.5401207407592
x61 = 62.9737501264
x62 = 81.8233060479388
x63 = -6.14128825257542
x64 = 56.6905648192204
x65 = 0.141897054604164
x65 = 0.141897054604164
The graph