Mister Exam
Other calculators
-
How to use it?
- Equation:
-
Equation x^4-2x^2-8=0
-
Equation tgx=-(3/4)
-
Equation 7(4x-1)=6-2(3-14x)
- Equation 836-16x=420
- 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
- Integral of d{x}:
-
tgx
- Derivative of:
-
tgx
- Graphing y =:
-
tgx
-
Identical expressions
- tgx=-(three / four)
- tgx equally minus (3 divide by 4)
- tgx equally minus (three divide by four)
- tgx=-3/4
- tgx=-(3 divide by 4)
-
Similar expressions
- ctg(x)=-sqrt3/3
- tgx=+(3/4)
- (x+3)/12-1*(x-3)/4=(x+2)/6
- ctg(x)=-5
- 3/2*a-3-8*a^2-18*a/4*a^2+9*(2*a/4*a^2-12*a+9-3/4*a^2-9)=-1
- sin(pi(x-3))/4=sqrt2/2
- cos(x)=-3/4
- tg(x)=sqrt3/2
tgx=-(3/4) equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the equation
$$\tan{\left(x \right)} = - \frac{3}{4}$$
- this is the simplest trigonometric equation
This equation is transformed to
$$x = \pi n + \operatorname{atan}{\left(- \frac{3}{4} \right)}$$
Or
$$x = \pi n - \operatorname{atan}{\left(\frac{3}{4} \right)}$$
, where n - is a integer
$$\tan{\left(x \right)} = - \frac{3}{4}$$
- this is the simplest trigonometric equation
This equation is transformed to
$$x = \pi n + \operatorname{atan}{\left(- \frac{3}{4} \right)}$$
Or
$$x = \pi n - \operatorname{atan}{\left(\frac{3}{4} \right)}$$
, where n - is a integer
Sum and product of roots
[src]
sum
-atan(3/4)
$$\left(- \operatorname{atan}{\left(\frac{3}{4} \right)}\right)$$
=
-atan(3/4)
$$- \operatorname{atan}{\left(\frac{3}{4} \right)}$$
product
-atan(3/4)
$$\left(- \operatorname{atan}{\left(\frac{3}{4} \right)}\right)$$
=
-atan(3/4)
$$- \operatorname{atan}{\left(\frac{3}{4} \right)}$$
Numerical answer
[src]
x1 = -94.8912807164871
x2 = -22.6346496839218
x3 = 71.613129923772
x4 = -38.3426129518708
x5 = -72.9001321413585
x6 = 87.3210931917209
x7 = -88.6080954093075
x8 = -6.92668641597287
x9 = -101.174466023667
x10 = 49.6219813486434
x11 = 59.0467593094128
x12 = 84.1795005381311
x13 = 99.8874638060801
x14 = 62.1883519630026
x15 = 8.7812768519761
x16 = -32.0594276446912
x17 = 52.7635740022332
x18 = 43.3387960414638
x19 = -47.7673909126402
x20 = -57.1921688734096
x21 = 5.6396841983863
x22 = -82.3249101021279
x23 = 81.0379078845413
x24 = 11.9228695055659
x25 = -19.493057030332
x26 = 55.905166655823
x27 = -76.0417247949483
x28 = -79.1833174485381
x29 = 18.2060548127455
x30 = 96.7458711524903
x31 = -28.9178349911014
x32 = 24.4892401199251
x33 = 40.197203387874
x34 = 46.4803886950536
x35 = 15.0644621591557
x36 = -50.90898356623
x37 = 37.0556107342842
x38 = -69.7585394877687
x39 = 93.6042784989005
x40 = -35.201020298281
x41 = 27.6308327735149
x42 = 74.7547225773617
x43 = -41.4842056054606
x44 = 65.3299446165924
x45 = -0.643501108793284
x46 = -98.0328733700769
x47 = -66.6169468341789
x48 = -16.3514643767422
x49 = 2.49809154479651
x50 = -13.2098717231525
x51 = 77.8963152309515
x52 = 33.9140180806944
x53 = 21.3476474663353
x54 = -25.7762423375116
x55 = -3.78509376238308
x56 = -44.6257982590504
x57 = -91.7496880628973
x58 = -60.3337615269994
x59 = -85.4665027557177
x60 = -63.4753541805892
x61 = -54.0505762198198
x62 = -10.0682790695627
x63 = 68.4715372701822
x64 = 30.7724254271046
x65 = 90.4626858453107
x65 = 90.4626858453107
The graph