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tan(x)=5

tan(x)=5 equation

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Numerical solution:

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The solution

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tan(x) = 5
tan(x)=5\tan{\left(x \right)} = 5
Detail solution
Given the equation
tan(x)=5\tan{\left(x \right)} = 5
- this is the simplest trigonometric equation
This equation is transformed to
x=πn+atan(5)x = \pi n + \operatorname{atan}{\left(5 \right)}
Or
x=πn+atan(5)x = \pi n + \operatorname{atan}{\left(5 \right)}
, where n - is a integer
The graph
0-80-60-40-2020406080-100100-50005000
Rapid solution [src]
x1 = atan(5)
x1=atan(5)x_{1} = \operatorname{atan}{\left(5 \right)}
x1 = atan(5)
Sum and product of roots [src]
sum
atan(5)
atan(5)\operatorname{atan}{\left(5 \right)}
=
atan(5)
atan(5)\operatorname{atan}{\left(5 \right)}
product
atan(5)
atan(5)\operatorname{atan}{\left(5 \right)}
=
atan(5)
atan(5)\operatorname{atan}{\left(5 \right)}
atan(5)
Numerical answer [src]
x1 = 321.815851433104
x2 = 42.2141052636123
x3 = 39.0725126100225
x4 = 10.7981787277144
x5 = -30.0425257689529
x6 = 57.9220685315613
x7 = 155.311440792845
x8 = 76.7716244531001
x9 = -96.0159714943386
x10 = 13.9397713813042
x11 = -23.7593404617733
x12 = 64.2052538387409
x13 = -67.7416376120304
x14 = -1.76819188664478
x15 = -45.7504890369019
x16 = -74.02482291921
x17 = 20.2229566884838
x18 = 35.9309199564327
x19 = -39.4673037297223
x20 = -8.05137719382436
x21 = -52.0336743440815
x22 = 92.479587721049
x23 = 86.1964024138694
x24 = -89.732786187159
x24 = -89.732786187159
The graph
tan(x)=5 equation