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Old 10-28-2007   #1
Dreamfall
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Default Range; a proof

What is the proof to this function range:
f(x)=Sin^2k x + Cos^2k x
R=[1/2^(k-1) , 1]
 
Old 10-28-2007   #2
Temperal
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Use .



I'll work on your problem
 
Old 10-29-2007   #3
Dreamfall
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I think this is the right range:
R=[1/(2^(k-1)) , 1]
 
Old 10-29-2007   #4
Temperal
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But... that's the same thing.
And the range seems to be incorrect.

Last edited by Temperal; 10-29-2007 at 05:47 PM..
 
Old 10-29-2007   #5
Dreamfall
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I know that's the same thing (always the shortest formula!), but the range is undoubtedly correct. I proved its right side (<=1) but the left side is still a mystery to me!

Last edited by Dreamfall; 10-30-2007 at 08:07 AM..
 
Old 10-30-2007   #6
Dreamfall
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it's fianlly done!
But how can i write formulas like you?
 
Old 10-30-2007   #7
Temperal
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[latex] CODE HERE [/latex]

is a programming language for producing mathematical equations. See http://www.artofproblemsolving.com/W...hp/LaTeX:About for a tutorial.
 
 

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