Maths Videos & Proofs
Spintarget. High quality mathematics videos and proofs for students.
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High quality mathematics videos and proofs for students
Spintarget.com news digest
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5 years
|z_1|/|z_2|=|z_1/z_2| proof (algebraic)
In this post I’ll be proving to you that: Firstly, I’ll say that: And also that: If this is the case, then: And as this is in the form: I would have to conclude that: Hence, I have my proof.
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5 years
Proving that arg(z_1/z_2)=arg(z_1)-arg(z_2)
In this post I’ll be proving to you that: Now firstly I will have to say that: And also that: If this is the case, then… Since this is in the form: I would have to conclude that: Hence I’ve proven that:
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5 years
arg(z_1*z_2)=arg(z_1)+arg(z_2) Proof
In this post I’ll be proving why: Let’s say that: And also that: This would imply that: Now if we multiply and together, we get: Which is thanks to what we know about trigonometric identities. As we can see above, we’ve formed another complex number...
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5 years
How to prove that |z_1|*|z_2|=|z_1*z_2|, Complex Numbers
In this post I’ll be showing you how to prove that: Firstly, let’s say that: If this is the case, then according to the rules of complex numbers: Secondly, let’s determine what is… As you can see, we get the result above – which is another complex number...
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