How can you express the complex number z = 2 + 3i in the form z = r(cos x + i sinx)

First you want to draw the complez number on to an argand diagram, using which you will find the modulus and argument. This is how to do so: The modulus is to be obtained using pythagoras (which will be easier to describe using the diagram). The argument will be obtained using trigonometric rules since the line on the argand diagran will be a right angled triangle. Then the modulus and argument will be written into the form : z = [z](cos(argz) + i sin(argz)

Answered by Meghali B. Maths tutor

8703 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

i) It is given that f(x)=(-5-33x)/((1+x)(1+5x)), express f(x) in the form A/(1+x) + B/(1+5x) where A,B are integers. ii) hence express the integral of f(x) between x=3 and x=0 in the form (p/q)ln4 where p,q are integers.


Sketch the graph y=-x^3, using this sketch y=-x^(1/3)


Differentiate 5x^2 + 11x + 5 with respect to x


give the coordinates of the stationary points of the curve y = x^4 - 4x^3 + 27 and state with reason if they are minumum, maximum, or points of inflection.


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences