MHB Trigonometry to Memorize and Trigonometry to Derive

AI Thread Summary
The discussion focuses on the importance of memorizing key trigonometric concepts while also recognizing the value of deriving certain formulas. The initial sheets contain essential trigonometric information deemed necessary for practical application, while the final sheet emphasizes derivation techniques. An updated TrigKnowledge file features improved visual representations of triangles and sine and cosine graphs, created using TikZ and Sage. The use of multiples of π/4 as tick markers on the x-axis enhances the clarity of the graphs. Overall, the thread highlights a balance between memorization and derivation in mastering trigonometry.
Ackbach
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In my career, so far, the first two pages of the attached sheets contains everything I've ever needed to have in my head; the last sheet contains most things I've had to derive. I hope you find this helpful.

https://www.physicsforums.com/attachments/910._xfImport

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http://mathhelpboards.com/commentary-threads-53/commentary-trigonometry-memorize-trigonometry-derive-4226.html
 

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I'm very excited to have updated my TrigKnowledge file. The two triangles are now drawn using tikz, and the two graphs of sine and cosine I drew using Sage. I figured out a way to get Sage to use multiples of $\pi/4$ as the tick markers on the $x$-axis, which greatly enhances this graph, in my opinion. Enjoy!
 
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