z1 = 2 + j4 and z2 = −3 + j4. (i) Calculate the modulus and argument of z1. (In your final answers, express the modulus to three significant figures and the argument in radians to three significant figures.) Hence express z1in exponential form. (ii) Calculate the modulus and argument of z2. (In your final answer, express the argument in degrees to three significant figures.) Hence express z2 in polar form.

z1 = 2 + j4 and z2 = −3 + j4. (i) Calculate the modulus and argument of z1. (In your final answers, express the modulus to three significant figures and the argument in radians to three significant figures.) Hence express z1in exponential form. (ii) Calculate the modulus and argument of z2. (In your final answer, express the argument in degrees to three significant figures.) Hence express z2 in polar form.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.3: The Addition And Subtraction Formulas

Problem 71E

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Question

z₁ = 2 + j4 and z₂ = −3 + j4.

(i) Calculate the modulus and argument of z₁. (In your final answers, express the modulus to three significant figures and the argument in radians to three significant figures.) Hence express z₁in exponential form.

(ii) Calculate the modulus and argument of z₂. (In your final answer, express the argument in degrees to three significant figures.) Hence express z₂ in polar form.

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