MathCastle
TrigonometrySuperchallengeInverse Trigonometric Functions

Inverse Trigonometric Functions · Superchallenge problem

How many ordered triples of integers (a,b,c)(a,b,c) with 1≤a,b,c≤51\le a,b,c\le5 satisfy arctan⁡a+arctan⁡b+arctan⁡c>π\arctan a+\arctan b+\arctan c>\pi?