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ctg((x-pi)/4)-1=0 equation

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Numerical solution:

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The solution

You have entered [src]
   /x - pi\        
cot|------| - 1 = 0
   \  4   /        
$$\cot{\left(\frac{x - \pi}{4} \right)} - 1 = 0$$
The graph
Rapid solution [src]
x1 = -2*pi
$$x_{1} = - 2 \pi$$
x1 = -2*pi
Sum and product of roots [src]
sum
-2*pi
$$- 2 \pi$$
=
-2*pi
$$- 2 \pi$$
product
-2*pi
$$- 2 \pi$$
=
-2*pi
$$- 2 \pi$$
-2*pi
Numerical answer [src]
x1 = 56.5486677646163
x2 = -43.9822971502571
x3 = 81.6814089933346
x4 = -94.2477796076938
x5 = 18.8495559215388
x6 = 31.4159265358979
x7 = 94.2477796076938
x8 = -106.814150222053
x9 = -18.8495559215388
x10 = -6.28318530717959
x11 = -31.4159265358979
x12 = 69.1150383789755
x13 = -81.6814089933346
x14 = 6.28318530717959
x15 = 43.9822971502571
x16 = -69.1150383789755
x17 = -56.5486677646163
x17 = -56.5486677646163