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Acute triangle, Trigonometric function! (Posted on 2007-10-13) Difficulty: 3 of 5
Prove that in an acute triangle sin(A) + sin(B) + sin(C) > 2

See The Solution Submitted by Chesca Ciprian    
Rating: 4.0000 (1 votes)

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re: proof (maybe) | Comment 7 of 9 |
(In reply to proof (maybe) by Daniel)

I think the only flaw in this proof is that as you are increasing sin(a)+sin(b), you are decreasing sin(c).  I think you'd need calculus to show that sin(c) is decreasing at a smaller rate than sin(a)+sin(b) is increasing.
  Posted by Charlie on 2007-10-14 10:39:37

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