July 1–July 7, 2008

Problem

Suppose that sin(x) + cos(x) + tan(x) + csc(x) + sec(x) + cot(x) = 10. Find sin(2x).

Solution

here.

List of solvers

Numerical solutions: Steve Wilmarth (undergrad); Konrad Schroder (staff); Mike Goodman (outside).

Exact solutions: Jizhou Li (undergrad); Dustin Moody (graduate); Christopher Green (faculty); Peiyush Jain, Peizhe Shi, Navdeep Jaitly, Kate Smith, Li Miao, Aneesh Hariharan, Roman Holenstein, Lloyd Sakazaki (outside).

Jizhou Li wins the prize!