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tan(x)=4

tan(x)=4 equation

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Numerical solution:

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The solution

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tan(x) = 4
$$\tan{\left(x \right)} = 4$$
Detail solution
Given the equation
$$\tan{\left(x \right)} = 4$$
- this is the simplest trigonometric equation
This equation is transformed to
$$x = \pi n + \operatorname{atan}{\left(4 \right)}$$
Or
$$x = \pi n + \operatorname{atan}{\left(4 \right)}$$
, where n - is a integer
The graph
Rapid solution [src]
x1 = atan(4)
$$x_{1} = \operatorname{atan}{\left(4 \right)}$$
x1 = atan(4)
Sum and product of roots [src]
sum
atan(4)
$$\operatorname{atan}{\left(4 \right)}$$
=
atan(4)
$$\operatorname{atan}{\left(4 \right)}$$
product
atan(4)
$$\operatorname{atan}{\left(4 \right)}$$
=
atan(4)
$$\operatorname{atan}{\left(4 \right)}$$
atan(4)
Numerical answer [src]
x1 = -96.0635545976156
x2 = -74.072406022487
x3 = -89.780369290436
x4 = 95.5735972713618
x5 = -271.992743198644
x6 = -39.5148868329993
x7 = -1.81577498992176
x8 = 13.8921882780272
x9 = -152.612222362232
x10 = 10.7505956244374
x11 = 64.1576707354639
x12 = -67.7892207153074
x13 = -45.7980721401789
x14 = -23.8069235650503
x15 = -8.09896029710135
x16 = -52.0812574473585
x17 = 20.1753735852068
x18 = 92.432004617772
x19 = 57.8744854282843
x20 = 42.1665221603353
x21 = -30.0901088722299
x22 = 35.8833368531558
x23 = -36.3732941794095
x24 = 86.1488193105924
x25 = 7.60900297084762
x25 = 7.60900297084762
The graph
tan(x)=4 equation