A2 maths

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mindreader101
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i'M HAVING TROUBLE UNDERSTANDING THE new concepts in A2 any advice on how to clarify
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vicvic38
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What are they?

I can't help if you don't tell me.

Give a specific topic you need clarification on.
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mindreader101
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whats a complex number?
cosecant and secant graphs
(Original post by vicvic38)
What are they?

I can't help if you don't tell me.

Give a specific topic you need clarification on.
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vicvic38
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(Original post by mindreader101)
whats a complex number?
cosecant and secant graphs
They've brought complex numbers down, have they?
Visualise the number line. Its straight, isn't it? one long line, stretching to and from infinity.

Now imagine the 2D plane, like what you would plot a graph on. This is the complex plane. You can think of complex numbers as points on this plane. The Y axis gives the imaginary part of the number. The X axis gives the Real part. If you have more specific questions, just ask.

I'm not quite sure what you want to know about these graphs. They are just y=1/sinx and y = 1/cosx
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Resonance234
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Im not a mathematician

I do use complex numbers most of the time.

I would define them as this set:

 \mathbb{C} = \{ (a, b)  | a + jb  \,\,\,\, a,b \in \mathbb{R}, j^{2} = -1  \}
Complex numbers are different from real numbers in that the real numbers are a subset of complex numbers when the imaginary part is zero.

Then, you can do some exercises, like plotting them in the complex plane, finding magnitudes, adding subtracting them.

I think, you should always define your mathematical objects, then understand their properties and theorems. At least, that is what the books taught me.

Also, have you learned LaTex? Typing out the math stuff on it really helped mebecause I had dyslexia.
Definition:
1. Set of complex numbers.
2. Real part.
3. Imaginary part.
4. Magnitude and phase of a complex number.
5. Algebraic form and polar form of a complex number.
6. The argand diagram or the complex plane.

Theorems:
1. Multiplication with the complex conjugate.
2. Addition and subtraction with the complex conjugate.
Last edited by Resonance234; 2 years ago
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