Math Problem Statement
Given the complex number Z₁ = 3+ 2i and Z2 = 13-i, evaluate
(ii) Z2-Z12
(5 marks)
b) Represent 2 = (Cos + Sin) in algebraic form (2 marks) 2
c) Z₁= [3,520] and Z2 = [2, 15°], find Z122
(1 mark)
d) Express Z = -2 + 2√3 in trigonometric foren
(5 marks)
☑ Find the modulus and argument of
(5 marks)
f) Given Z = a + ib, find a and b by solving the simultaneous equations ZZ=65
Z-2=16
g) Show that for the complex variable Z, cos²2 + sin²2 = 1
Solution
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Math Problem Analysis
Mathematical Concepts
Complex Numbers
Trigonometric Form
Polar Form
Formulas
Complex number arithmetic
Modulus of a complex number
Argument of a complex number
Theorems
Trigonometric identities
Suitable Grade Level
Advanced High School
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