cos(A+B)=cosAcosB-sinAsinB explained in simple terms.
See why sin(A+B)=sinAcosB+cosAsinB below:
http://www.youtube.com/watch?v=4K6xr8hjkTw
Video created by Tiago Hands:
https://www.instagram.com/tiago_hands/
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https://www.youtube.com/watch?v=-n6h6-CT0-0
In this video, I demonstrate using geometrical methods, how to show that:
1+(tanθ)^2=(secθ)^2
1+(cotθ)^2=(cosecθ)^2
(secθ)^2+(cosecθ)^2=(cotθ+tanθ)^2
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https://www.youtube.com/watch?v=FNPIXUuw5_Y
In this video I demonstrate, using simple mathematics, that √2 is an irrational number. A very similar proof can be found in the latest A- Level Mathematics textbooks. This specific proof is a proof by contradiction.
To see the workings of this proof, visit:
https://www.instagram.com/p/CZmRnAQM8YI/
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*https://www.instagram.com/tiago_hands
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https://www.youtube.com/watch?v=cM0jvH41Bms
In this video I demonstrate how to come up with (1-cosθ)^2+(tanθ-sinθ)^2=(secθ-1)^2 geometrically.
If you'd like the written proof, go here: https://www.instagram.com/p/Ca66lNrs8Xo/
For more mathematics proofs, make sure you are subscribed to my channel!
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Thanks for watching and your great support!
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https://www.youtube.com/watch?v=sG2oHOr_F78
In this video I demonstrate how to show that the sum and product of two even numbers are even. This is an introductory video to mathematics proofs for those who are unfamiliar with the workings of a proof.
This work was inspired by the book, 'Fundamentals of University Mathematics' which can be found on my Amazon store: https://www.amazon.co.uk/shop/mathematics.proofs/list/2U7KHRG9I050R
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https://www.youtube.com/watch?v=1EQyGOlz7pk
This is a funky animated twirly sphere created with graphing software.
The equation that describes it is:
vector(r,theta,phi)=vector(2,n*pi*cos(2*pi*t),2*pi*t),'radius'=0.1
If you like mathematics art, check out my Instagram page: https://www.instagram.com/tiago_hands/
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https://www.youtube.com/watch?v=P10zAcdq8uc
What you *need* in order to follow this video series:
1. Algebraic skills {http://mathsvideos.net/useful-algebraic-formulas/}
You need to know that: √(ab) = √a√b
2. Trigonometry skills:
- Unit circle {https://scontent-lhr3-1.xx.fbcdn.net/v/t31.0-8/14324643_627264727441617_168387912534466908_o.jpg?oh=ea3f9cec2389ced6eaa76830057e7d85&oe=58FE04F9}
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https://www.youtube.com/watch?v=46Hr8e3eGkc
Parametric Equations: The Fermat Spiral, (√t*cost, √t*sint)
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https://www.youtube.com/watch?v=iIYizcdj6L4