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tan(x-pi/4)=(-1)/sqrt(3)

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tan(x-pi/4)=(-1)/sqrt(3)

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tan(x-pi/4)=(-1)/sqrt(3) equation

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Numerical solution:

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The solution

You have entered [src]
   /    pi\    -1  
tan|x - --| = -----
   \    4 /     ___
              \/ 3 
$$\tan{\left(x - \frac{\pi}{4} \right)} = - \frac{1}{\sqrt{3}}$$
The graph
Rapid solution [src]
      pi
x_1 = --
      12
$$x_{1} = \frac{\pi}{12}$$
Sum and product of roots [src]
sum
pi
--
12
$$\left(\frac{\pi}{12}\right)$$
=
pi
--
12
$$\frac{\pi}{12}$$
product
pi
--
12
$$\left(\frac{\pi}{12}\right)$$
=
pi
--
12
$$\frac{\pi}{12}$$
Numerical answer [src]
x1 = -71.9948316447661
x2 = 44.2440965380563
x3 = -68.8532389911763
x4 = 97.6511716490827
x5 = 34.8193185772869
x6 = -100.269165527074
x7 = 28.5361332701073
x8 = -90.8443875663049
x9 = 59.9520598060052
x10 = 81.9432083811338
x11 = 50.5272818452358
x12 = 53.6688744988256
x13 = -78.2780169519457
x14 = -65.7116463375865
x15 = -97.1275728734844
x16 = 47.3856891916461
x17 = -50.0036830696375
x18 = -59.4284610304069
x19 = 19.1113553093379
x20 = -62.5700536839967
x21 = 85.0848010347236
x22 = -31.1541271480988
x23 = -43.720497762458
x24 = -75.1364242983559
x25 = 72.5184304203644
x26 = 41.1025038844665
x27 = 63.093652459595
x28 = -84.5612022591253
x29 = 91.3679863419031
x30 = 78.801615727544
x31 = -34.2957198016886
x32 = -56.2868683768171
x33 = 12.8281700021583
x34 = 25.3945406165175
x35 = -46.8620904160477
x36 = 31.6777259236971
x37 = -81.4196096055355
x38 = -53.1452757232273
x39 = -87.7027949127151
x40 = 100.792764302673
x41 = -9.16297857297023
x42 = -21.7293491873294
x43 = -6.02138591938044
x44 = 0.261799387799149
x45 = 9.68657734856853
x46 = 94.5095789954929
x47 = -2.87979326579064
x48 = 37.9609112308767
x49 = -28.012534494509
x50 = 88.2263936883134
x51 = -93.9859802198946
x52 = 66.2352451131848
x53 = 69.3768377667746
x54 = 3.40339204138894
x55 = -15.4461638801498
x56 = -18.5877565337396
x57 = -24.8709418409192
x58 = 56.8104671524154
x59 = -40.5789051088682
x60 = 22.2529479629277
x61 = 15.9697626557481
x62 = -12.30457122656
x63 = 75.6600230739542
x64 = -37.4373124552784
x65 = 6.54498469497874
x65 = 6.54498469497874
The graph
tan(x-pi/4)=(-1)/sqrt(3) equation