Proving the Pythagorean Theorem: The Relationship Between Sine and Cosine

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SUMMARY

The discussion centers on the Pythagorean identity, a fundamental trigonometric identity that relates sine and cosine functions. Participants confirm its common name and share translations in their native languages, highlighting cultural nuances in terminology. The Pythagorean identity is essential for understanding relationships in trigonometry and is often included in lists of key trigonometric identities. The conversation also touches on the humorous translations used in different languages, such as "Idiotformelen" in Danish.

PREREQUISITES
  • Understanding of basic trigonometric functions (sine and cosine)
  • Familiarity with trigonometric identities
  • Knowledge of mathematical terminology in English and other languages
  • Basic translation skills for mathematical terms
NEXT STEPS
  • Research the derivation of the Pythagorean identity in trigonometry
  • Explore other trigonometric identities and their applications
  • Learn about the historical context of trigonometric terminology
  • Investigate the use of trigonometric identities in real-world applications
USEFUL FOR

Students of mathematics, educators teaching trigonometry, linguists interested in mathematical terminology, and anyone looking to deepen their understanding of trigonometric identities.

Mattara
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What is the English word for this rule? It doesn't sound right if I do a direct translation and google didn't turn up much.

Thank you :smile:
 
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(One of) The most famous trigonometric identity? ;) You'll generally find it in a list titled that way.
 
I think it's called the Pythagorean identity.
 
Thanks a lot, both of you. The name for it in my native language has been highly influenced by the number "1" :/
 
What would it be called in your native language? In Danish it is readily called "Idiotformelen" -- the idiot formula...
 
That was funny. It would be "trigonometriska ettan" or "(the) trigonometry 1"
 

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