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tg(x)+ctg(x)=-2 equation

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Numerical solution:

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The solution

You have entered [src]
tan(x) + cot(x) = -2
$$\tan{\left(x \right)} + \cot{\left(x \right)} = -2$$
The graph
Sum and product of roots [src]
sum
-pi 
----
 4  
$$- \frac{\pi}{4}$$
=
-pi 
----
 4  
$$- \frac{\pi}{4}$$
product
-pi 
----
 4  
$$- \frac{\pi}{4}$$
=
-pi 
----
 4  
$$- \frac{\pi}{4}$$
-pi/4
Rapid solution [src]
     -pi 
x1 = ----
      4  
$$x_{1} = - \frac{\pi}{4}$$
x1 = -pi/4
Numerical answer [src]
x1 = 99.7455669872618
x2 = -85.6083999046866
x3 = 40.0553062119893
x4 = 2.35619441945391
x5 = -54.1924729709968
x6 = 33.7721212315366
x7 = 14.9225648006018
x8 = -7.06858349150383
x9 = 90.3207887983879
x10 = 24.3473428861137
x11 = 18.064157519956
x12 = -54.1924731049312
x13 = 55.7632698164134
x14 = -10.210175937257
x15 = -98.1747702716625
x16 = -3.9269910997502
x17 = 62.0464548215302
x18 = 18.0641575828681
x19 = 68.3296401620326
x20 = -60.4756585867943
x21 = 77.7544184016456
x22 = -76.1836216884043
x23 = -32.2013245212226
x24 = 2.35619454116169
x25 = -19.6349541614809
x26 = 24.3473430003423
x27 = 90.3207887428632
x28 = 11.7809726469881
x29 = -60.4756586221018
x30 = -41.6261027424746
x31 = 46.3384915811972
x32 = 84.0376034213556
x33 = -13.3517691514012
x34 = 68.3296401409972
x35 = -79.3252149318323
x36 = 46.3384914577614
x37 = -91.8915846147837
x38 = 74.612825721913
x39 = 96.6039737980993
x40 = -76.183622024029
x41 = 52.6216766205436
x42 = -35.3429177438206
x43 = 74.6128252096556
x44 = 30.6305280307066
x45 = 8.63937944008175
x46 = 68.3296401139153
x47 = -57.3340663372646
x48 = 36.9137140178918
x49 = -63.6172513235393
x49 = -63.6172513235393