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ctg(x/2)=√3

ctg(x/2)=√3 equation

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Numerical solution:

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The solution

You have entered [src]
   /x\     ___
cot|-| = \/ 3 
   \2/        
$$\cot{\left(\frac{x}{2} \right)} = \sqrt{3}$$
The graph
Rapid solution [src]
     pi
x1 = --
     3 
$$x_{1} = \frac{\pi}{3}$$
x1 = pi/3
Sum and product of roots [src]
sum
pi
--
3 
$$\frac{\pi}{3}$$
=
pi
--
3 
$$\frac{\pi}{3}$$
product
pi
--
3 
$$\frac{\pi}{3}$$
=
pi
--
3 
$$\frac{\pi}{3}$$
pi/3
Numerical answer [src]
x1 = 45.0294947014537
x2 = -17.8023583703422
x3 = 38.7463093942741
x4 = 89.0117918517108
x5 = -24.0855436775217
x6 = -86.9173967493176
x7 = -49.2182849062401
x8 = 51.3126800086333
x9 = 19.8967534727354
x10 = -99.4837673636768
x11 = -74.3510261349584
x12 = -30.3687289847013
x13 = 63.8790506229925
x14 = 57.5958653158129
x15 = -93.2005820564972
x16 = -5.23598775598299
x17 = 32.4631240870945
x18 = -42.9350995990605
x19 = 26.1799387799149
x20 = 13.6135681655558
x21 = -36.6519142918809
x22 = 1.0471975511966
x23 = -68.0678408277789
x24 = 70.162235930172
x25 = 76.4454212373516
x26 = 95.2949771588904
x27 = -55.5014702134197
x28 = -80.634211442138
x29 = 82.7286065445312
x30 = 7.33038285837618
x31 = -11.5191730631626
x32 = -61.7846555205993
x32 = -61.7846555205993
The graph
ctg(x/2)=√3 equation