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tan(x)=-3

tan(x)=-3 equation

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Numerical solution:

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The solution

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tan(x) = -3
tan(x)=3\tan{\left(x \right)} = -3
Detail solution
Given the equation
tan(x)=3\tan{\left(x \right)} = -3
- this is the simplest trigonometric equation
This equation is transformed to
x=πn+atan(3)x = \pi n + \operatorname{atan}{\left(-3 \right)}
Or
x=πnatan(3)x = \pi n - \operatorname{atan}{\left(3 \right)}
, where n - is a integer
The graph
0-80-60-40-2020406080-100100-1000010000
Rapid solution [src]
x1 = -atan(3)
x1=atan(3)x_{1} = - \operatorname{atan}{\left(3 \right)}
x1 = -atan(3)
Sum and product of roots [src]
sum
-atan(3)
atan(3)- \operatorname{atan}{\left(3 \right)}
=
-atan(3)
atan(3)- \operatorname{atan}{\left(3 \right)}
product
-atan(3)
atan(3)- \operatorname{atan}{\left(3 \right)}
=
-atan(3)
atan(3)- \operatorname{atan}{\left(3 \right)}
-atan(3)
Numerical answer [src]
x1 = -57.7977135370145
x2 = 52.1580293386282
x3 = -64.0808988441941
x4 = -7.53223107957784
x5 = 58.4412146458078
x6 = -35.806564961886
x7 = 96.1403264888853
x8 = -29.5233796547064
x9 = -20.098601693937
x10 = 30.1668807634997
x11 = -73.5056768049635
x12 = 42.7332513778588
x13 = 8.17573218837112
x14 = -2599.34617029116
x15 = -48.3729355762452
x16 = 64.7243999529874
x17 = 80.4323632209364
x18 = 45.8748440314486
x19 = 67.8659926065772
x20 = 36.4500660706793
x21 = 74.1491779137568
x22 = 77.2907705673466
x23 = -86.0720474193227
x24 = 240.653588554016
x25 = -4022.48764236733
x26 = 86.715548528116
x27 = -1.24904577239825
x28 = 89.8571411817058
x29 = -51.5145282298349
x30 = 17.6005101491405
x31 = -26.3817870011166
x32 = -13.8154163867574
x33 = -45.2313429226554
x34 = 14.4589174955507
x35 = 1.89254688119154
x36 = -79.7888621121431
x37 = 23.8836954563201
x38 = -42.0897502690656
x38 = -42.0897502690656
The graph
tan(x)=-3 equation