Can You Prove tan1° Is Irrational? | Kyoto University 2006

Source: Kyoto University, 2006 late-session entrance examination, Mathematics, Problem 6. Problem: Determine whether tan1° is a rational number—that is, whether it can be written as p/q for integers p and q =0. The original problem statement consists of essentially this single question, but requires a rigorous proof rather than a decimal approximation. #maths #mathematics #irrational_number #imo #mathproblems #mathproblemsolve #mathtricks #math