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10282007  #1 
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Range; a proof
What is the proof to this function range:
f(x)=Sin^2k x + Cos^2k x R=[1/2^(k1) , 1] 
10282007  #2 
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Use .
I'll work on your problem 
10292007  #3 
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I think this is the right range:
R=[1/(2^(k1)) , 1] 
10292007  #4 
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But... that's the same thing.
And the range seems to be incorrect. Last edited by Temperal; 10292007 at 05:47 PM.. 
10292007  #5 
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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; 10302007 at 08:07 AM.. 
10302007  #6 
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it's fianlly done!
But how can i write formulas like you? 
10302007  #7 
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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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