OFFSET
1,1
COMMENTS
Call this constant c. Each local minimum of tan(x) - csc(x) is c and each local maximum is -c. For each integer k, a local minimum occurs at x = -2.42626390368270450053985988809886575923... + 2*Pi*k and a local maximum occurs at x = +2.42626390368270450053985988809886575923... + 2*Pi*k.
EXAMPLE
2.39353954176256107196491392145264377845414588906219243509679854846154611579...
MATHEMATICA
RealDigits[FindMinimum[Tan[x] - Csc[x], {x, -2}, WorkingPrecision -> 120][[1]]][[1]] (* Amiram Eldar, May 27 2023 *)
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Rick L. Shepherd, Jan 18 2017
STATUS
approved