Arctangent Sum
Source: AIME 2008I Problem 8
March 23, 2008
trigonometryAMCAIMEanalytic geometryUSAMTSfunctionLaTeX
Problem Statement
Find the positive integer such that \arctan\frac{1}{3}\plus{}\arctan\frac{1}{4}\plus{}\arctan\frac{1}{5}\plus{}\arctan\frac{1}{n}\equal{}\frac{\pi}{4}.