1. The amplitude (or argument) of a complex number z=r(cosθ+isinθ) is given by amp(z)=θ. 2. The conjugate of z , denoted as Z, has an amplitude amp(z)=−θ, because conjugating a complex number reflects it across the real axis in the Argand plane. Formula Used: amp(z)+amp(z)=θ+(−θ)=0. Calculation: z=r(cosθ+isinθ) z=r(cosθ−isinθ) amp(z)+amp(z)=θ+(−θ)=0 Conclusion: ∴amp(z)+amp(z)=0.