2000 SMT/Advanced Topics Problems/Problem 2
Problem
Simplify to the form .
SMT Solution
Since and we can write the first term as . Since and we can write the second term as Now, we apply DeMoivre's Theorem to simplify the first expression to Similarly, we simplify the second expression to Thus, the total sum is
Credit
Problem and solution were taken from https://sumo.stanford.edu/old/smt/2000/