Trigonometry to Memorize and Trigonometry to Derive

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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

Comments and questions should be posted here:

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!