1987 OIM Problems/Problem 5

Problem

If , , and are all the roots of the equation:

(a) Prove that , , and are all postive

(b) Calculate: arctan + arctan + arctan .

Note: We define arctan , as the arc between and which tangent is .

~translated into English by Tomas Diaz. ~orders@tomasdiaz.com

Solution

This problem needs a solution. If you have a solution for it, please help us out by adding it.

See also

https://www.oma.org.ar/enunciados/ibe2.htm