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Minimizing Trigo value (Posted on 2014-03-02) Difficulty: 3 of 5
Find the minimum value of | sin x + cos x + tan x + cot x + sec x + csc x | for any real number x.

No Solution Yet Submitted by Danish Ahmed Khan    
Rating: 4.0000 (2 votes)

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Solution answer | Comment 1 of 7

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
  Posted by Ady TZIDON on 2014-03-02 11:26:58

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