MathDB
Complex Number

Source: 1999 National High School Mathematics League, Exam One, Problem 8

March 10, 2020
complex numbers

Problem Statement

If θ=arctan⁡512\theta=\arctan \frac{5}{12}, z=cos⁡2θ+isin⁡2θ239+iz=\frac{\cos 2\theta+\text{i}\sin2\theta}{239+\text{i}}, then arg⁡z=\arg z=________.
Back to ProblemsView on AoPS