Maths Proofs, Videos & Tutorials
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GCSE + A Level Mathematics Proofs, Videos and Tutorials.Mon, 18 Mar 2019 19:56:05 +0000en-GB
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1 https://wordpress.org/?v=5.2.3maths_videoshttps://feedburner.google.com|z_1|/|z_2|=|z_1/z_2| proof (algebraic)
http://feedproxy.google.com/~r/maths_videos/~3/2ivIOl8xJRs/
Sun, 04 Nov 2018 22:24:55 +0000http://mathsvideos.net/?p=2933In 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.<img src="http://feeds.feedburner.com/~r/maths_videos/~4/2ivIOl8xJRs" height="1" width="1" alt=""/>http://mathsvideos.net/2018/11/04/z_1-z_2z_1-z_2-proof-algebraic/Proving that arg(z_1/z_2)=arg(z_1)-arg(z_2)
http://feedproxy.google.com/~r/maths_videos/~3/vrW73R-eLWg/
Sun, 28 Oct 2018 12:22:39 +0000http://mathsvideos.net/?p=2925In 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:<img src="http://feeds.feedburner.com/~r/maths_videos/~4/vrW73R-eLWg" height="1" width="1" alt=""/>http://mathsvideos.net/2018/10/28/proving-that-argz_1-z_2argz_1-argz_2/arg(z_1*z_2)=arg(z_1)+arg(z_2) Proof
http://feedproxy.google.com/~r/maths_videos/~3/SyNXvjdu7JE/
Mon, 15 Oct 2018 15:42:21 +0000http://mathsvideos.net/?p=2909In 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: And this is in the form of: And because of … <a href="http://mathsvideos.net/2018/10/15/argz_1z_2argz_1argz_2-proof/" class="more-link">Continue reading <span class="screen-reader-text">arg(z_1*z_2)=arg(z_1)+arg(z_2) Proof</span> <span class="meta-nav">→</span></a><img src="http://feeds.feedburner.com/~r/maths_videos/~4/SyNXvjdu7JE" height="1" width="1" alt=""/>http://mathsvideos.net/2018/10/15/argz_1z_2argz_1argz_2-proof/How to prove that |z_1|*|z_2|=|z_1*z_2|, Complex Numbers
http://feedproxy.google.com/~r/maths_videos/~3/IpDAbhd3xbI/
Sun, 14 Oct 2018 21:09:51 +0000http://mathsvideos.net/?p=2901In 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. This means that: Therefore we’ve proven that: … <a href="http://mathsvideos.net/2018/10/14/how-to-prove-that-z_1z_2z_1z_2-complex-numbers/" class="more-link">Continue reading <span class="screen-reader-text">How to prove that |z_1|*|z_2|=|z_1*z_2|, Complex Numbers</span> <span class="meta-nav">→</span></a><img src="http://feeds.feedburner.com/~r/maths_videos/~4/IpDAbhd3xbI" height="1" width="1" alt=""/>http://mathsvideos.net/2018/10/14/how-to-prove-that-z_1z_2z_1z_2-complex-numbers/sin(0°) to sin(90°), cos(0°) to cos(90°) and tan(0°) to tan(90°) derivations. 15° steps.
http://feedproxy.google.com/~r/maths_videos/~3/5E81TnH0jGg/
Sat, 23 Sep 2017 20:27:39 +0000http://mathsvideos.net/?p=2536Hello. In this post I’ll be showing you how to derive sin(0°), sin(15°), sin(30°), sin(45°), sin(60°), sin(75°), sin(90°), cos(0°), cos(15°), cos(30°), cos(45°), cos(60°), cos(75°), cos(90°), tan(0°), tan(15°), tan(30°), tan(45°), tan(60°), tan(75°) and tan(90°) from absolute scratch. sin(30°), sin(60°), cos(30°) and cos(60°):             Now, I’ll first start off by showing you … <a href="http://mathsvideos.net/2017/09/23/sin0-to-sin90-cos0-to-cos90-and-tan0-to-tan90-derivations-15-steps/" class="more-link">Continue reading <span class="screen-reader-text">sin(0°) to sin(90°), cos(0°) to cos(90°) and tan(0°) to tan(90°) derivations. 15° steps.</span> <span class="meta-nav">→</span></a><img src="http://feeds.feedburner.com/~r/maths_videos/~4/5E81TnH0jGg" height="1" width="1" alt=""/>http://mathsvideos.net/2017/09/23/sin0-to-sin90-cos0-to-cos90-and-tan0-to-tan90-derivations-15-steps/Completing the Square: Two Geometrical Proofs
http://feedproxy.google.com/~r/maths_videos/~3/0U_CBekCDc8/
Wed, 20 Sep 2017 17:28:46 +0000http://mathsvideos.net/?p=2507On this website I previously showed you why the formulas used to complete the square work – and how they can be used to derive formulas such as the quadratic equation. Now, I’ll be doing something different, but related… On this post, I’ll be showing you how to come up with the formulas (2 in … <a href="http://mathsvideos.net/2017/09/20/completing-the-square-two-geometrical-proofs/" class="more-link">Continue reading <span class="screen-reader-text">Completing the Square: Two Geometrical Proofs</span> <span class="meta-nav">→</span></a><img src="http://feeds.feedburner.com/~r/maths_videos/~4/0U_CBekCDc8" height="1" width="1" alt=""/>http://mathsvideos.net/2017/09/20/completing-the-square-two-geometrical-proofs/More ways in which to express the golden ratio
http://feedproxy.google.com/~r/maths_videos/~3/Kft-Pb8nMx8/
Tue, 19 Sep 2017 17:27:43 +0000http://mathsvideos.net/?p=2500In this blog post I’ll be revealing more ways (4 in fact) in which to express or come up with the value of the golden ratio… Number One: Number Two: Number Three: Number Four: And check out this calculator trick… If you’re not satisfied with what I’ve already produced, then you can have a go … <a href="http://mathsvideos.net/2017/09/19/more-ways-in-which-to-express-the-golden-ratio/" class="more-link">Continue reading <span class="screen-reader-text">More ways in which to express the golden ratio</span> <span class="meta-nav">→</span></a><img src="http://feeds.feedburner.com/~r/maths_videos/~4/Kft-Pb8nMx8" height="1" width="1" alt=""/>http://mathsvideos.net/2017/09/19/more-ways-in-which-to-express-the-golden-ratio/Another way to express the golden ratio mathematically
http://feedproxy.google.com/~r/maths_videos/~3/FxJ5r_EuUKE/
http://mathsvideos.net/2017/09/17/another-way-to-express-the-golden-ratio-mathematically/#commentsSun, 17 Sep 2017 20:19:26 +0000http://mathsvideos.net/?p=2492In this post I’m going to be proving that… So, here I go… Wait for it… This expression for the golden ratio is quite common, however, before I produced this post – I think it would’ve been very hard to figure out how to derive it from scratch. There aren’t many quirky proofs like this … <a href="http://mathsvideos.net/2017/09/17/another-way-to-express-the-golden-ratio-mathematically/" class="more-link">Continue reading <span class="screen-reader-text">Another way to express the golden ratio mathematically</span> <span class="meta-nav">→</span></a><img src="http://feeds.feedburner.com/~r/maths_videos/~4/FxJ5r_EuUKE" height="1" width="1" alt=""/>http://mathsvideos.net/2017/09/17/another-way-to-express-the-golden-ratio-mathematically/feed/1http://mathsvideos.net/2017/09/17/another-way-to-express-the-golden-ratio-mathematically/How to find a neat version of y when you have the equation of an ellipse
http://feedproxy.google.com/~r/maths_videos/~3/3D9yQ5YL5q4/
Wed, 30 Aug 2017 01:04:16 +0000http://mathsvideos.net/?p=2416So, you have the equation of the ellipse but you need to completely isolate y. How would you go about doing this? Well, here is a fantastic example… This will come in handy if you’re trying to derive the area of an ellipse from absolute scratch. Thanks for reading! 🙂<img src="http://feeds.feedburner.com/~r/maths_videos/~4/3D9yQ5YL5q4" height="1" width="1" alt=""/>http://mathsvideos.net/2017/08/30/how-to-find-a-neat-version-of-y-when-you-have-the-equation-of-an-ellipse/Useful trigonometric formulas for finding areas of circles
http://feedproxy.google.com/~r/maths_videos/~3/tIccvsOwBlo/
Wed, 30 Aug 2017 00:34:31 +0000http://mathsvideos.net/?p=2409If you’re trying to find the area of a circle using integration methods, then these trigonometric formulas are going to be very useful: First formulas: Second formulas: These formulas are to be used when you have to transform the expression: You can either make: Or… The choice is yours. 🙂<img src="http://feeds.feedburner.com/~r/maths_videos/~4/tIccvsOwBlo" height="1" width="1" alt=""/>http://mathsvideos.net/2017/08/30/useful-trigonometric-formulas-for-finding-areas-of-circles/