Find the minimum value of | sin x + cos x + tan x + cot x + sec x + csc x | for any real number x.
Seems like the minimum value is 2 occuring at 3ði/4+2n*ði and 5ði/4+2n*ði , for any integer n.
Sinus and cosinus cancel each other , so do sec and cosec, tan and cot are each either -1 or +1.
Edited on March 2, 2014, 11:37 am