BC, CA and AB represents three sides of a triangle having lengths a, b and c respectively. Angles A, B and C are opposite respectively to the sides BC, CA and AB
Given that: a
2 + b
2= 2015* c
2
Find the value of :
cot C
-------------
cot A + cot B
The answer seems to be around 2014/2.
By direct evaluation:
Let c=1, and a=b (a very pointy isosceles triangle)
Then a=b=31.7411409...
The angle at C is 1.80516983... degrees, that at A and B is (90-1.80516983.../2)
Computation gives the value of the desired expression as 1007.000..
Edited on October 20, 2014, 12:15 am
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Posted by broll
on 2014-10-19 23:59:45 |
Observation
