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tan(x)=0.8

tan(x)=0.8 equation

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Numerical solution:

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The solution

You have entered [src]
tan(x) = 4/5
$$\tan{\left(x \right)} = \frac{4}{5}$$
Detail solution
Given the equation
$$\tan{\left(x \right)} = \frac{4}{5}$$
- this is the simplest trigonometric equation
This equation is transformed to
$$x = \pi n + \operatorname{atan}{\left(\frac{4}{5} \right)}$$
Or
$$x = \pi n + \operatorname{atan}{\left(\frac{4}{5} \right)}$$
, where n - is a integer
The graph
Rapid solution [src]
x_1 = atan(4/5)
$$x_{1} = \operatorname{atan}{\left(\frac{4}{5} \right)}$$
Sum and product of roots [src]
sum
atan(4/5)
$$\left(\operatorname{atan}{\left(\frac{4}{5} \right)}\right)$$
=
atan(4/5)
$$\operatorname{atan}{\left(\frac{4}{5} \right)}$$
product
atan(4/5)
$$\left(\operatorname{atan}{\left(\frac{4}{5} \right)}\right)$$
=
atan(4/5)
$$\operatorname{atan}{\left(\frac{4}{5} \right)}$$
Numerical answer [src]
x1 = 10.0995189029929
x2 = -8.75003701854583
x3 = -24.4580002864948
x4 = 94.9225205499174
x5 = 38.3738527853011
x6 = 28.9490748245317
x7 = -62.1571121295723
x8 = 32.0906674781215
x9 = -84.1482607047009
x10 = -2.46685171136624
x11 = -65.2987047831621
x12 = 50.9402233996602
x13 = -21.316407632905
x14 = 85.497742589148
x15 = 69.789779321199
x16 = 79.2145572819684
x17 = 41.5154454388909
x18 = -33.8827782472642
x19 = -81.0066680511111
x20 = 0.674740942223553
x21 = 54.08181605325
x22 = 91.7809278963276
x23 = 19.5242968637623
x24 = -49.5907415152131
x25 = -43.3075562080336
x26 = -77.8650753975213
x27 = 57.2234087068398
x28 = 72.9313719747888
x29 = -59.0155194759825
x30 = -37.024370900854
x31 = 66.6481866676092
x32 = -71.5818900903417
x33 = 13.2411115565827
x34 = 35.2322601317113
x35 = 44.6570380924807
x36 = 22.6658895173521
x37 = 76.0729646283786
x38 = 6.95792624940314
x39 = 25.8074821709419
x40 = -40.1659635544438
x41 = -99.8562239726498
x42 = -55.8739268223927
x43 = -90.4314460118805
x44 = -93.5730386654702
x45 = 47.7986307460705
x46 = 82.3561499355582
x47 = 16.3827042101725
x48 = 101.205705857097
x49 = -27.5995929400846
x50 = 63.5065940140194
x51 = -52.7323341688029
x52 = 98.0641132035071
x53 = -18.1748149793152
x54 = -87.2898533582907
x55 = -5.60844436495603
x56 = -68.4402974367519
x57 = 3.81633359581335
x58 = -74.7234827439315
x59 = -96.71463131906
x60 = -11.8916296721356
x61 = -30.7411855936744
x62 = -15.0332223257254
x63 = 88.6393352427378
x64 = 60.3650013604296
x65 = -46.4491488616233
x65 = -46.4491488616233
The graph
tan(x)=0.8 equation