SOLUTION: Show that the value of tan 3 α cot α cannot lie between 1/3and 3?

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Question 748654: Show that the value of tan 3 α cot α cannot lie between 1/3and 3?
Answer by AnlytcPhil(1810)   (Show Source): You can put this solution on YOUR website!
tan3α·cotα;

It's easy if you're taking calculus, and can use
L'Hopital's rule, but not if you aren't.  Tell me 
in the thank-you note form if you are taking 
calculus or just taking trigonometry.  Then I'll
help you with it.  Is this familiar?



Numerator and denominator both approach 0, so we
can use L'hopital's rule:



Using reciplocal identity

 = 3

That's the start of the way to do it by calculus.
I'll finish it if you tell me whether you're 
taking calculus or just trig.

Edwin







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