Uploaded March 2021 | Updated September 2026, 2 weeks ago
Here we prove the angle sum formulas for sine and cosine. We can calculate sin(a+b) and cos(a+b) using the power of the rotation matrix, which is a really easy way to remember the equations!
Learning Linear Algebra playlist: youtube.com/playlist?list=PLug5ZIRrShJHNCfEiX6l5CKbljWayGEcs
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Here we prove the angle sum formulas for sine and cosine. We can calculate sin(a+b) and cos(a+b) using the power of the rotation matrix, which is a really easy way to remember the equations!
Learning Linear Algebra playlist: youtube.com/playlist?list=PLug5ZIRrShJHNCfEiX6l5CKbljWayGEcs
Subscribe to see more new math videos!


![Introduction and Derivation of F[x]-Modules
Modules over a polynomial ring have very important applications to linear algebra. Here we prove some basic properties of F[x]-modules and show how they are related to vector spaces over a field.
Ring & Module Theory playlist: https://www.youtube.com/playlist?list=PLug5ZIRrShJExMapwnaKTFXDYbKeWDXq7
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Music: C418 - Pr Department Introduction and Derivation of F[x]-Modules](https://i.ytimg.com/vi/H44q_Urmts0/mqdefault.jpg)







