ARGAND DIAGRAM Learning Outcomes: Know what is meant by an Argand Diagram (complex plane) Be able to write a complex number in Polar Form Be able to find the modulus r and argument θ of a complex number
modulus argument (used in Ex 7) principal argument polar form Pythagoras triangle trigonometry principal argument
modulus argument Q1 – x a y both positive Example1: Find the modulus and argument (deg) of argand diagram modulus Re Im x y r argument Q1 – x a y both positive
Q4 – x positive, y negative Example2: Find the modulus and argument (deg) of argand diagram modulus Re Im x y Q4 – x positive, y negative r argument
modulus argument polar form Example3: Express in Polar Form argand diagram modulus Re Im x y argument r polar form