A215832 - OEIS

%I #17 Sep 22 2012 10:35:49

%S 6,4,1,0,1,9,2,3,7,6,3,2,7,9,0,3,5,5,6,8,8,8,4,6,8,6,8,8,1,6,6,2,4,2,

%T 4,1,9,6,8,9,4,4,5,6,3,2,5,5,8,1,4,2,0,6,7,6,6,3,0,5,2,8,9,8,7,2,2,4,

%U 1,1,1,9,7,6,8,8,3,9,5,6,4,2,0,0,9,2,0,9,7,6,8,4,8,0,2,8,4,3,4,6,9,4,0,7,4,3,8,6,5,1,1,7,8,2,4,7,1,0,0,5,0,4,1,3,4

%N Decimal expansion of the maximum of the function f(x) = log(cos(sin(x)))/log(sin(cos(x))), x in (0,Pi/2).

%C The inverse of this maximum is equal to A215833. The argument z in (0,Pi/2) for which f(z) = max{f(x): x in (0,Pi/2)} is given in A168546. We note that f is increasing in the interval (0,z) and decreasing in the interval (z,Pi/2).

%D R. Witula, D. Jama, E. Hetmaniok, D. Slota, On some inequality of the trigonometric type, Zeszyty Naukowe Politechniki Slaskiej - Matematyka-Fizyka (Science Fascicle of Silesian Technical University - Math.-Phys.), 92 (2010), 83-92.

%e We have M := max{f(x): x in (0,Pi/2)} = 0.6410192376327.

%Y Cf. A215833, A168546, A215670, A215668, A216891.

%K nonn,cons

%O 0,1

%A _Roman Witula_, Aug 24 2012