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G, K, and L are collinear

Det[{
{1 – r, v – 1, 1},
{R*Cos[–2*z] + √2*Cos[π/2 – z + θ + (1*π)/4], R*Sin[–2*z] + √2*Sin[π/2 – z + θ + (1*π)/4], 1},
{R*Cos[–2*z] + √1*Cos[π/2 – z + θ + (2*π)/4], R*Sin[–2*z] + √1*Sin[π/2 – z + θ + (2*π)/4], 1}
}] = 0

Det[{
{1 – r, v – 1, 1},
{–Sin[θ – z], Cos[θ – z], 0},
{R*Cos[–2*z] – Cos[θ – z], R*Sin[–2*z] – Sin[θ – z], 1}
}] = 0

s = 4*Cos[θ/2 – z/2]*Sin[z/2]*(Cos[θ/2 – z] – Cos[θ/2] + 2*Sin[θ/2 – z])/(Sin[θ]*(2 – 2*Cos[z] + Cos[2*z]) – Cos[θ]*Sin[2*z])
>>
>>16860940

C, J, and K are collinear

Det[{
{R*Cos[2*z] + √2*Cos[π + z + (1*π)/4], R*Sin[2*z] + √2*Sin[π + z + (1*π)/4], 1},
{R*Cos[–2*z] + √1*Cos[π/2 – z + θ + (0*π)/4], R*Sin[–2*z] + √1*Sin[π/2 – z + θ + (0*π)/4], 1},
{R*Cos[–2*z] + √2*Cos[π/2 – z + θ + (1*π)/4], R*Sin[–2*z] + √2*Sin[π/2 – z + θ + (1*π)/4], 1}
}] = 0

Det[{
{Sin[θ – z] + Sin[z] – Cos[z], 2*R*Sin[2*z] – Cos[θ – z] – Sin[z] – Cos[z], 0},
{0, 0, 1},
{–Cos[θ – z], –Sin[θ – z], 0}
}] = 0

s = (1 + Cos[θ – 2*z] – Sin[θ – 2*z])/(Cos[θ – 2*z] + Cos[θ])
>>
>>16861188

Solve[{4*Cos[θ/2 – z/2]*Sin[z/2]*(Cos[θ/2 – z] – Cos[θ/2] + 2*Sin[θ/2 – z])/(Sin[θ]*(2 – 2*Cos[z] + Cos[2*z]) – Cos[θ]*Sin[2*z]) = (1 + Cos[θ – 2*z] – Sin[θ – 2*z])/(Cos[θ – 2*z] + Cos[θ]), z = π/5}, θ]
>>
k
>>
>no latex
kys schizo
>>
>>16861845

B, C, and H are collinear
G, K, and L are collinear
C, J, and K are collinear
>>
>>16861845
>Solve[{4*Cos[θ/2 – z/2]*Sin[z/2]*(Cos[θ/2 – z] – Cos[θ/2] + 2*Sin[θ/2 – z])/(Sin[θ]*(2 – 2*Cos[z] + Cos[2*z]) – Cos[θ]*Sin[2*z]) = (1 + Cos[θ – 2*z] – Sin[θ – 2*z])/(Cos[θ – 2*z] + Cos[θ]), z = π/5}, θ]

Grok wrote, that the following equation is "a nasty transcendental beast".

4*Cos[θ/2 – π/10]*Sin[π/10]*(Cos[θ/2 – π/5] – Cos[θ/2] + 2*Sin[θ/2 – π/5])/(Sin[θ]*(2 – 2*Cos[π/5] + Cos[2*π/5]) – Cos[θ]*Sin[2*π/5]) = (1 + Cos[θ – 2*π/5] – Sin[θ – 2*π/5])/(Cos[θ – 2*π/5] + Cos[θ])

After a while, I asked Grok to draw "a nasty transcendental beast".
>>
>>16863361
chat bots are brainrot x100 worse than /sci/, which is already brainrot x100 times worse than 4gay which used to be the definition of brainrot
>>
>>16863366
>chat bots are brainrot x100 worse than /sci/
No, there's nothing worse than /sci/.
>brainrot
is caused by modern well-poisoning.
For example, by radioactive tap water "compliments of" hostile military intelligence.
>>
>>16862282
>kys
I know you should, but what should I?
>schizo
I know you are, but what am I?
>>
>>16860940
problems that can be described with the matrix math operators
>>
>>16864875
No such thing.



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