Mister Exam

# tgx=1 equation

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#### Numerical solution:

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### The solution

You have entered [src]
tan(x) = 1
$$\tan{\left(x \right)} = 1$$
Detail solution
Given the equation
$$\tan{\left(x \right)} = 1$$
- this is the simplest trigonometric equation
This equation is transformed to
$$x = \pi n + \operatorname{atan}{\left(1 \right)}$$
Or
$$x = \pi n + \frac{\pi}{4}$$
, where n - is a integer
The graph
Rapid solution [src]
      pi
x_1 = --
4 
$$x_{1} = \frac{\pi}{4}$$
Sum and product of roots [src]
sum
pi
--
4 
$$\left(\frac{\pi}{4}\right)$$
=
pi
--
4 
$$\frac{\pi}{4}$$
product
pi
--
4 
$$\left(\frac{\pi}{4}\right)$$
=
pi
--
4 
$$\frac{\pi}{4}$$
x1 = 51.0508806208341
x2 = 35.3429173528852
x3 = 57.3340659280137
x4 = 69.9004365423729
x5 = 98.174770424681
x6 = 32.2013246992954
x7 = -43.1968989868597
x8 = -30.6305283725005
x9 = 73.0420291959627
x10 = 7.06858347057703
x11 = 16.4933614313464
x12 = -27.4889357189107
x13 = -65.1880475619882
x14 = -62.0464549083984
x15 = 38.484510006475
x16 = -87.1791961371168
x17 = -11.7809724509617
x18 = 95.0331777710912
x19 = 76.1836218495525
x20 = 66.7588438887831
x21 = 101.316363078271
x22 = 88.7499924639117
x23 = -71.4712328691678
x24 = 22.776546738526
x25 = 13.3517687777566
x26 = -68.329640215578
x27 = -33.7721210260903
x28 = -2.35619449019234
x29 = -49.4800842940392
x30 = -93.4623814442964
x31 = -58.9048622548086
x32 = -99.7455667514759
x33 = -14.9225651045515
x34 = 3.92699081698724
x35 = 79.3252145031423
x36 = 0.785398163397448
x37 = -52.621676947629
x38 = -18.0641577581413
x39 = 91.8915851175014
x40 = -46.3384916404494
x41 = 54.1924732744239
x42 = 82.4668071567321
x43 = 10.2101761241668
x44 = -21.2057504117311
x45 = -36.9137136796801
x46 = -24.3473430653209
x47 = -96.6039740978861
x48 = 47.9092879672443
x49 = -90.3207887907066
x50 = 19.6349540849362
x51 = -5.49778714378214
x52 = 25.9181393921158
x53 = 41.6261026600648
x54 = -84.037603483527
x55 = 63.6172512351933
x56 = -80.8960108299372
x57 = 60.4756585816035
x58 = -40.0553063332699
x59 = -8.63937979737193
x60 = 44.7676953136546
x61 = 85.6083998103219
x62 = -55.7632696012188
x63 = 29.0597320457056
x64 = -74.6128255227576
x65 = -77.7544181763474
x65 = -77.7544181763474
The graph