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tg(x)=-3

tg(x)=-3 equation

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Numerical solution:

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The solution

You have entered [src]
tan(x) = -3
$$\tan{\left(x \right)} = -3$$
Detail solution
Given the equation
$$\tan{\left(x \right)} = -3$$
- this is the simplest trigonometric equation
This equation is transformed to
$$x = \pi n + \operatorname{atan}{\left(-3 \right)}$$
Or
$$x = \pi n - \operatorname{atan}{\left(3 \right)}$$
, where n - is a integer
The graph
Rapid solution [src]
x1 = -atan(3)
$$x_{1} = - \operatorname{atan}{\left(3 \right)}$$
Sum and product of roots [src]
sum
0 - atan(3)
$$- \operatorname{atan}{\left(3 \right)} + 0$$
=
-atan(3)
$$- \operatorname{atan}{\left(3 \right)}$$
product
1*-atan(3)
$$1 \left(- \operatorname{atan}{\left(3 \right)}\right)$$
=
-atan(3)
$$- \operatorname{atan}{\left(3 \right)}$$
-atan(3)
Numerical answer [src]
x1 = 74.1491779137568
x2 = -35.806564961886
x3 = 1.89254688119154
x4 = 17.6005101491405
x5 = 67.8659926065772
x6 = -4022.48764236733
x7 = -1.24904577239825
x8 = 80.4323632209364
x9 = -2599.34617029116
x10 = -42.0897502690656
x11 = 240.653588554016
x12 = -48.3729355762452
x13 = -20.098601693937
x14 = 89.8571411817058
x15 = 42.7332513778588
x16 = -29.5233796547064
x17 = -26.3817870011166
x18 = -57.7977135370145
x19 = 58.4412146458078
x20 = 30.1668807634997
x21 = 52.1580293386282
x22 = -86.0720474193227
x23 = 45.8748440314486
x24 = 64.7243999529874
x25 = -73.5056768049635
x26 = -7.53223107957784
x27 = 23.8836954563201
x28 = -51.5145282298349
x29 = -45.2313429226554
x30 = 14.4589174955507
x31 = 96.1403264888853
x32 = 77.2907705673466
x33 = -13.8154163867574
x34 = -79.7888621121431
x35 = -64.0808988441941
x36 = 86.715548528116
x37 = 8.17573218837112
x38 = 36.4500660706793
x38 = 36.4500660706793
The graph
tg(x)=-3 equation