DimaMazin

Let's consider key angle t t = p×sint/(p - 2) It derivates from angle p/2 (t - sint)/sint = sin(p/2)/(p/2 - sin(p/2)) If we get some equation then we can define pairs of angles: (a - sina)/sina = sinb/(b - sinb) (p - a - sina)/sina = sinc/(c - sinc) We should define some equation of asymmetry of angles b and c relative angle t .

ChatGPT approximately determined it a~1.921228408 rad

Maybe there is trigonometric clock wich can show a law. Because whithout new law we cannot define it.

Let's define equation for definition of relative perimeter of rectangle with sides a and b .

Let's define relative perimeter for any right triangle

I confused +with - sin^2-sin^3=2(1-sin)(1+(1-sin^2)^1/2) sin=1 is wrong , maybe there is other meaning?

We can get equation for the solve, but I don't think we can solve it.

l is perimeter p is Pi a is side l_min=1=2pr r=1/(2p) standard area = pr^2 = 1/(4p) For square a^2=1/(4p) a=1/(2×p^1/2) then l=2/p^1/2 For equilateral triangle: l = (3^3/4)/(p^1/2) For isosceles right triangle: l = ((2^1/2)+1)/p^1/2 😛

Could this exist?

green x = cos/(sin+cos)^1/2 green y = sin/(sin +cos)^1/2 green x zero = green y zero= (sin+cos)^1/2 red x_0 =(p×a×cos/(p×sin-2a×sin))^1/2 red y_0 = (p×(p×sin-2a×sin)/(4a×cos))^1/2 red x = (a×cos×(p-2a)/(p×sin))^1/2 red y = (a×sin×(p-2a)/(p×cos))^1/2 And at last correct equation of sectorsgenta: y = - sin×(p-2a)×x/(2a×cos) + (p×sin×(p-2a)/(4a×cos))^1/2

I confused and seems have got equation of sectorsgenta: y = (- sin/(2a × cos)) × x + +P((a×sin×cos)^1/2)/(2a×cos)

I confused x and y

Pink straight line is sectorsgenta. Green straight line is sinecosinegenta. How to solve the problems?

Englegenta and sectorsgenta are not parallel therefore englegenta is useless. Let's consider what is sinecosinegenta. Sinecosinegenta is straight line with equation: y = -1 × x + (sin + cos)^1/2

On calculator: (sin1rad - (sin1rad)^2)/e=0.0490742222 If it is 0.049074(2) then : sin1rad=(750+(562500 - 110417e)^1/2)/1500