pi and e

[Jon]

pi = [(2041141/1100)^(1/52)]*e

e^(2pi*i)=cos(2pi) + i*sin(2pi)
e^(2pi*i)=1+0

e^{2*[(2041141/1100)^(1/52)]*e*i} = 1

ln pi = ln|[(2041141/1100)^(1/52)]*e|
ln pi = (1/52)ln|2041141/1100| + 1

e = [(2041141/1100)^(-1/52)]*pi
sin e = sin([(2041141/1100)^(-1/52)]*pi)
cos e = cos([(2041141/1100)^(-1/52)]*pi)
tan e = tan([(2041141/1100)^(-1/52)]*pi)

sinh( [(2041141/1100)^(-1/52)]*pi )=(e^e - e^(-e))/2
cosh( [(2041141/1100)^(-1/52)]*pi )=(e^e + e^(-e))/2
tanh( [(2041141/1100)^(-1/52)]*pi )=(e^e - e^(-e))/(e^e + e^(-e))

e = [(1100/2041141)^(1/52)]*pi
e^52 = (1100/2041141)*(pi^52)
e^13 = ((1100/2041141)^(1/4))*(pi^13)

cos 1 + i sin 1 = ( [(1100/2041141)^(1/52)]*pi )^i
cos 2 + i sin 2 = ( [(1100/2041141)^(1/52)]*pi )^(i*2)
cos(7*z) + i sin(7*z) = ( [(1100/2041141)^(1/52)]*pi )^(i*7*z)
cos(n*z) + i sin(n*z) = ( [(1100/2041141)^(1/52)]*pi )^(i*n*z)
cos(52z) + i sin(52z) = ( ( 1100/2041141)*(pi^52) )^(i*z)
cos(52) + i sin(52) = ( ( 1100/2041141)*(pi^52) )^i

http://jons-math.bravehost.com/eandpi.html

[Jon]

Post by Jon
pi = [(2041141/1100)^(1/52)]*e
e^(2pi*i)=cos(2pi) + i*sin(2pi)
e^(2pi*i)=1+0
e^{2*[(2041141/1100)^(1/52)]*e*i} = 1
ln pi = ln|[(2041141/1100)^(1/52)]*e|
ln pi = (1/52)ln|2041141/1100| + 1
e = [(2041141/1100)^(-1/52)]*pi
sin e = sin([(2041141/1100)^(-1/52)]*pi)
cos e = cos([(2041141/1100)^(-1/52)]*pi)
tan e = tan([(2041141/1100)^(-1/52)]*pi)
sinh( [(2041141/1100)^(-1/52)]*pi )=(e^e - e^(-e))/2
cosh( [(2041141/1100)^(-1/52)]*pi )=(e^e + e^(-e))/2
tanh( [(2041141/1100)^(-1/52)]*pi )=(e^e - e^(-e))/(e^e + e^(-e))
e = [(1100/2041141)^(1/52)]*pi
e^52 = (1100/2041141)*(pi^52)
e^13 = ((1100/2041141)^(1/4))*(pi^13)
cos 1 + i sin 1 = ( [(1100/2041141)^(1/52)]*pi )^i
cos 2 + i sin 2 = ( [(1100/2041141)^(1/52)]*pi )^(i*2)
cos(7*z) + i sin(7*z) = ( [(1100/2041141)^(1/52)]*pi )^(i*7*z)
cos(n*z) + i sin(n*z) = ( [(1100/2041141)^(1/52)]*pi )^(i*n*z)
cos(52z) + i sin(52z) = ( ( 1100/2041141)*(pi^52) )^(i*z)
cos(52) + i sin(52) = ( ( 1100/2041141)*(pi^52) )^i
http://jons-math.bravehost.com/eandpi.html

cos(n*z) + i sin(n*z) = ( [(1100/2041141)^(1/52)]*pi )^(i*n*z)
cos(52z) + i sin(52z) = ( [(1100/2041141)^(1/52)]*pi)^(i*52*z)
cos(52) + i sin(52) = ( [(1100/2041141)^(1/52)]*pi)^(i*52)
52 = 16pi + 1.734517543 = 16pi + (3.008551105)^(1/2)
cos(16pi + 1.734517543)=cos(16pi)cos(1.734517543) -
sin(16pi)sin(1.734517543) = cos(1.734517543)
sin(16pi + 1.734517543) = sin(16pi)cos(1.734517543) +
cos(16pi)sin(1.734517543)=sin(1.734517543)
sin(1.734517543) + i cos(1.734517543) = ( [(1100/2041141)^(1/52)]*pi)^(i*52)
tan A = cot(1.734517543)
A = atan(cot(1.734517543)) = 1/1.734517543 = 0.5765291935
sin(1.734517543) + i cos(1.734517543) = (
[(1100/2041141)^(1/52)]*pi)^(i*0.5765291935)
cos(0.5765291935) + i sin(0.5765291935) = (
[(1100/2041141)^(1/52)]*pi)^(i*0.5765291935)

[Jon]

Post by Jon

Post by Jon
pi = [(2041141/1100)^(1/52)]*e
e^(2pi*i)=cos(2pi) + i*sin(2pi)
e^(2pi*i)=1+0
e^{2*[(2041141/1100)^(1/52)]*e*i} = 1
ln pi = ln|[(2041141/1100)^(1/52)]*e|
ln pi = (1/52)ln|2041141/1100| + 1
e = [(2041141/1100)^(-1/52)]*pi
sin e = sin([(2041141/1100)^(-1/52)]*pi)
cos e = cos([(2041141/1100)^(-1/52)]*pi)
tan e = tan([(2041141/1100)^(-1/52)]*pi)
sinh( [(2041141/1100)^(-1/52)]*pi )=(e^e - e^(-e))/2
cosh( [(2041141/1100)^(-1/52)]*pi )=(e^e + e^(-e))/2
tanh( [(2041141/1100)^(-1/52)]*pi )=(e^e - e^(-e))/(e^e + e^(-e))
e = [(1100/2041141)^(1/52)]*pi
e^52 = (1100/2041141)*(pi^52)
e^13 = ((1100/2041141)^(1/4))*(pi^13)
cos 1 + i sin 1 = ( [(1100/2041141)^(1/52)]*pi )^i
cos 2 + i sin 2 = ( [(1100/2041141)^(1/52)]*pi )^(i*2)
cos(7*z) + i sin(7*z) = ( [(1100/2041141)^(1/52)]*pi )^(i*7*z)
cos(n*z) + i sin(n*z) = ( [(1100/2041141)^(1/52)]*pi )^(i*n*z)
cos(52z) + i sin(52z) = ( ( 1100/2041141)*(pi^52) )^(i*z)
cos(52) + i sin(52) = ( ( 1100/2041141)*(pi^52) )^i
http://jons-math.bravehost.com/eandpi.html

cos(n*z) + i sin(n*z) = ( [(1100/2041141)^(1/52)]*pi )^(i*n*z)
cos(52z) + i sin(52z) = ( [(1100/2041141)^(1/52)]*pi)^(i*52*z)
cos(52) + i sin(52) = ( [(1100/2041141)^(1/52)]*pi)^(i*52)
52 = 16pi + 1.734517543 = 16pi + (3.008551105)^(1/2)
cos(16pi + 1.734517543)=cos(16pi)cos(1.734517543) -
sin(16pi)sin(1.734517543) = cos(1.734517543)
sin(16pi + 1.734517543) = sin(16pi)cos(1.734517543) +
cos(16pi)sin(1.734517543)=sin(1.734517543)
sin(1.734517543) + i cos(1.734517543) = (
[(1100/2041141)^(1/52)]*pi)^(i*52)
tan A = cot(1.734517543)
A = atan(cot(1.734517543)) = 1/1.734517543 = 0.5765291935
sin(1.734517543) + i cos(1.734517543) = (
[(1100/2041141)^(1/52)]*pi)^(i*0.5765291935)
cos(0.5765291935) + i sin(0.5765291935) = (
[(1100/2041141)^(1/52)]*pi)^(i*0.5765291935)

[cos(0.5765291935) + i sin(0.5765291935)]^(1.734517543) =(
[(1100/2041141)^(1/52)]*pi)^i
[cos(0.5765291935) + i sin(0.5765291935)]^(i*1.734517543) =(
[(1100/2041141)^(1/52)]*pi)^(-1)
[e^(i*0.5765291935)]^(i*1.734517543)=( [(1100/2041141)^(1/52)]*pi)^(-1)
e^(-0.5765291935*1.734517543) = 1/( [(1100/2041141)^(1/52)]*pi)
e = [(1100/2041141)^(1/52)]*pi
e^52 = (1100/2041141)*(pi^52)
52 = ln|1100/2041141| + 52ln|pi|
pi/e = (2041141/1100)^(1/52)
e^x = pi/e
x = ln|pi/e|=0.1447298858
(ln|pi/e|, pi/e) point of tangent
pi/e slope of tangent
(y-pi/e)/(x-ln|pi/e|) = pi/e
y-pi/e = (pi/e)(x-ln|pi/e|)
y=(pi/e)x - (pi/e)ln|pi/e|+pi/e equation of tangent line
(0, - (pi/e)ln|pi/e| + pi/e) y intercept of tangent line
(ln|pi/e|-1,0) x intercept of tangent line