Question 2 (a) Given the two complex numbers z₁ = 5230° and z₂ = -1 - -√3 j (i) Find z = Z₁ - 2.5 z₂ in rectangular form (ii) Write down the complex conjugate of z (iii) Express z in polar form (iv) Express z in exponential form

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.5: Trigonometric Form For Complex Numbers
Problem 76E
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Question 2
(a) Given the two complex numbers z₁ = 5430° and z₂ = −1-√√3 j
(i) Find z = Z₁ - 2.5 z₂ in rectangular form
(ii) Write down the complex conjugate of z
(iii) Express z in polar form
(iv) Express z in exponential form
(b) Given
sinh(x) =
3
Find the value of x without using calculator (you need to give your answer in the form of
a natural logarithm).
Transcribed Image Text:Question 2 (a) Given the two complex numbers z₁ = 5430° and z₂ = −1-√√3 j (i) Find z = Z₁ - 2.5 z₂ in rectangular form (ii) Write down the complex conjugate of z (iii) Express z in polar form (iv) Express z in exponential form (b) Given sinh(x) = 3 Find the value of x without using calculator (you need to give your answer in the form of a natural logarithm).
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