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
How to Derive the Cosine Rule using The Chord Theorem and Thales's Theorem
Proofs Without Words (Amazon Store): https://www.amazon.co.uk/shop/mathematics.proofs/list/1YQG185SPG51Y?ref_=cm_sw_r_cp_ud_aipsflist_aipsfmathematics.proofs_85Y8JKEXZ34DEAHSEQ1B
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https://www.youtube.com/watch?v=179lXY6hNYo
Create a 'general relativity' type mathematical singularity using 3D graphing software.
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https://www.youtube.com/watch?v=Fw5J3FDK4HA
If a/b=c/d, then a/b=(a-c)/(b-d) when b≠0, d≠0, b-d≠0.
A mathematics student asked me to provide this simple mathematical proof, so I've delivered. Sorry if the video is shaky. I have to buy another graphics tablet sometime soon. I hope you enjoy it and that it helps you nevertheless. Regards, Tiago.
For the a/b=c/d then a/b=(a+c)/(b+d) proof, visit this link: https://www.youtube.com/watch?v=0H5mGSy7mGM
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https://www.youtube.com/watch?v=dOokf-WiFdw
In this video I demonstrate how to show that sinθcosθ=(secθ-cosθ)(cosecθ-sinθ) geometrically.
You can find the workings to this proof here: https://twitter.com/tiago_hands/status/1504223347319750656
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https://www.youtube.com/watch?v=MeBETbH0_Z8
In this video I show an animation I created using the function f from R^2 to R method. I call this technique of embedding 3D graphs onto 2D graphing structures #graphjacking, a derivation of the word hijacking.
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https://www.youtube.com/watch?v=STsM4xmKeqQ