perplexus.info :: Just Math : Acute triangle, Trigonometric function!

Home > Just Math

Acute triangle, Trigonometric function! (Posted on 2007-10-13)

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)

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

Hint

| Comment 3 of 9 |

If the semiperimeter of an acute triangle is greater than the diameter of its circumcircle, then sin(A) + sin(B) + sin(C) > 2 follows from the rule of sines.

Posted by Bractals on 2007-10-13 19:41:08

Please log in:

Login:
Password:
Remember me:

Sign up! \| Forgot password

Search:

Search body:

Forums (1)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (17)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info