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You almost got it, but the final result is wrong because the phase of the ratio of two complex numbers is the difference of the phases of the numerator and denominator, respectively, not the ratio of the phases: $$z=\frac{u}{v}=\frac{|u|e^{j\phi_u}}{|v|e^{j\phi_v}}=\frac{|u|}{|v|}e^{j(\phi_u-\phi_v)}\Longrightarrow \phi_z=\phi_u-\phi_v$$ Furthermore, for ...