All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Numbers
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)

Comments: ( Back to comment list | You must be logged in to post comments.)
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

Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (8)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2024 by Animus Pactum Consulting. All rights reserved. Privacy Information