Specialist Maths Complex Numbers Week 3.

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GEOMETRIC REPRESENTATION OF COMPLEX NUMBERS A Complex Number is in the form: z = a+bi We can graph complex numbers on the axis shown below: Real axis.
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Presentation transcript:

Specialist Maths Complex Numbers Week 3

Polar Form of a Complex Number

Convert from Cartesian to Polar Form

Example 17 (Ex 2D1/2)

Solution 17

Example 18 (Ex 2D1/2)

Solution 18 (Ex 2D1/2)

Properties of cisθ

Geometric effect of multiplying by rcisθ

Example 19 (Ex 2D2)

Solution 19

Example 20 (Ex 2D2)

Solution 20

Properties Of Arguments

Example 21 (Ex 2D3)

Solution 21

Example 22 (Ex 3D3)

Solution 22

Example 23 (Ex 2D3)

Solution 23

Example 24 (Ex 2D4)

Solution 24 (a) (b)

Complex Sets and their graphs

Example 25 (Ex 2E)

Solution 25

Example 26 (Ex 2E)

Solution 26

Example 27 (Ex 2E)

Solution 27

This Week Text book P57 – 67 Ex2D1 Q1-5; Ex2D2 Q1-6. Ex2D3 Q1-4; Ex2E Q1-8;