The complex number z is given by z = (3) + i. i. Find the modulus and
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The complex number z is given by z = (√3) + i.
i. Find the modulus and argument of z.
ii. The complex conjugate of z is denoted by z*. Showing your working, express in the form x + iy, where x and y are real,
a. 2z + z*,
b. iz*/z.
iii. On a sketch of an Argand diagram with origin O, show the points A and B representing the complex numbers z and iz* respectively. Prove that angle AOB = 1/6π.
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ANSWER i The modulus of z is given by z Rez2 Imz2 where Rez and Imz are the real and imaginary parts ...View the full answer
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Related Book For 
Cambridge International AS & A Level Mathematics Pure Mathematics 2 & 3 Coursebook
ISBN: 9781108407199
1st Edition
Authors: Sue Pemberton, Julianne Hughes, Julian Gilbey
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