1.2. Perform arithmetic operations using the polar and exponential form of complex numbers.Complex numbers can be represented in both polar and exponential forms, which offerunique advantages for various mathematical operations.Let Z1 and Z2 be two complex numbers represented in polar form as Z₁ = √₁eiе₁and Z₂ = 12e102. Perform the following arithmetic operations:i)ii)iii)iv)Calculate Z₁ + Z2 in polar form and express the result as Z3 = re¹03 and in exponentialform.Calculate Z1 - Z2 in polar form and express the result as Z4 = √₁e¹04 and in exponentialform.Calculate Z1. Z2 in polar form and express the result as Z5 = r5e"form.Calculate Z1 Z2 in polar form and express the result as Z6 = reform.105 and in exponential106 and in exponentialv) Reflect on the advantages of using polar and exponential forms for complex numberoperations and how they simplify certain calculations.

Question

1.2. Perform arithmetic operations using the polar and exponential form of complex numbers.Complex numbers can be represented in both polar and exponential forms, which offerunique advantages for various mathematical operations.Let Z1 and Z2 be two complex numbers represented in polar form as Z₁ = √₁eiе₁and Z₂ = 12e102. Perform the following arithmetic operations:i)ii)iii)iv)Calculate Z₁ + Z2 in polar form and express the result as Z3 = re¹03 and in exponentialform.Calculate Z1 - Z2 in polar form and express the result as Z4 = √₁e¹04 and in exponentialform.Calculate Z1. Z2 in polar form and express the result as Z5 = r5e&#34;form.Calculate Z1 Z2 in polar form and express the result as Z6 = reform.105 and in exponential106 and in exponentialv) Reflect on the advantages of using polar and exponential forms for complex numberoperations and how they simplify certain calculations.

Accepted Answer

Step 1:i). Addition (z1+z2): Given,z1=3eiπ/4. z2=2eiπ/3.z1+z2=3eiπ/4+2eiπ/3Using Euler's…