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Complex Problem

Source: 1992 National High School Mathematics League, Exam One, Problem 10

February 26, 2020
complex numbers

Problem Statement

z1,z2z_1,z_2 are complex numbers. ∣z1∣=3,∣z2∣=5,∣z1+z2∣=7|z_1|=3,|z_2|=5,|z_1+z_2|=7, then arg⁡(z2z1)3=\arg(\frac{z_2}{z_1})^3=________.
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