Still Confused?

Try reviewing these fundamentals first

- Home
- Sixth Year Maths
- Imaginary and Complex Numbers

Still Confused?

Try reviewing these fundamentals first

Still Confused?

Try reviewing these fundamentals first

Nope, got it.

That's the last lesson

Start now and get better maths marks!

Get Started NowStart now and get better maths marks!

Get Started NowStart now and get better maths marks!

Get Started NowStart now and get better maths marks!

Get Started Now- Lesson: 1a16:31
- Lesson: 1b7:04
- Lesson: 1c7:49
- Lesson: 2a9:46
- Lesson: 2b6:20
- Lesson: 2c8:37
- Lesson: 311:22

Knowing the argument and the modulus of a complex number allows us to convert a complex number from its rectangular form, which is what we have been using thus far, to its other basic form – polar form. We will see that while a complex number in rectangular form is denoted by its horizontal and vertical components, a complex number in polar form is denoted by its magnitude and argument.

Basic Concepts:Distance formula: $d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$, Use tangent ratio to calculate angles and sides (Tan = $\frac{o}{a}$ ), Solving expressions using 45-45-90 special right triangles , Solving expressions using 30-60-90 special right triangles ,

- 1.Convert the following complex numbers from rectangular form to polar forma)$z=2i-3$b)$w=-5-3i$c)$z=4-i$
- 2.Convert the following complex numbers from polar form to rectangular forma)$z=4(\cos(\frac{\pi}{4})+i\sin(\frac{\pi}{4}))$b)$w=13(\cos(180^{\circ})+i\sin(180^{\circ}))$c)$z=4(\cos(\frac{5\pi}{3})+i\sin(\frac{5\pi}{3}))$
- 3.Given that $z=4-3i$, and $w=2-i$, find $z+w$ and express it in polar form

19.

Imaginary and Complex Numbers

19.1

Introduction to imaginary numbers

19.2

Complex numbers and complex planes

19.3

Adding and subtracting complex numbers

19.4

Complex conjugates

19.5

Multiplying and dividing complex numbers

19.6

Distance and midpoint of complex numbers

19.7

Angle and absolute value of complex numbers

19.8

Polar form of complex numbers

19.9

Operations on complex numbers in polar form

We have over 860 practice questions in Sixth Year Maths for you to master.

Get Started Now19.1

Introduction to imaginary numbers

19.2

Complex numbers and complex planes

19.3

Adding and subtracting complex numbers

19.4

Complex conjugates

19.5

Multiplying and dividing complex numbers

19.6

Distance and midpoint of complex numbers

19.7

Angle and absolute value of complex numbers

19.8

Polar form of complex numbers

19.9

Operations on complex numbers in polar form