Writing unit vectors in terms of sin/cos?

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SUMMARY

This discussion centers on the conversion of unit vectors into sine and cosine terms using trigonometric principles. The user initially struggled to find resources but ultimately discovered the solution through the mnemonic "Soh Cah Toa," which relates to the definitions of sine and cosine in right triangles. The discussion highlights the importance of proper terminology when searching for mathematical concepts and provides a link to the Wikipedia page on trigonometry for further reference.

PREREQUISITES
  • Understanding of basic trigonometry concepts, specifically sine and cosine.
  • Familiarity with unit vectors in a Cartesian coordinate system.
  • Knowledge of right triangle properties and relationships.
  • Ability to navigate online educational resources effectively.
NEXT STEPS
  • Study the properties of unit vectors in three-dimensional space.
  • Learn about the application of trigonometric functions in vector calculations.
  • Explore advanced trigonometric identities and their uses in physics.
  • Review the derivation of sine and cosine from the unit circle perspective.
USEFUL FOR

This discussion is beneficial for students of mathematics, physics enthusiasts, and anyone seeking to understand the relationship between trigonometric functions and vector representation.

cdotter
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Where could I find a webpage or guide on how to write unit vectors in terms of sin and cos? I looked through my textbook and tried searching google, but I can't find anything...I must be using the wrong terminology.


edit: Delete me! I had one of those epiphany moments and figured it out. :blushing:
 
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