Another way to find trig identities

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SUMMARY

This discussion centers on the exploration of trigonometric identities, specifically the connection between complex exponentials and sinusoidal functions. Participants express gratitude for insights and share references to relevant articles that elucidate these concepts. The conversation highlights the importance of understanding these relationships in precalculus studies. The thread was eventually locked due to a related question being posted in the appropriate Precalc Homework section.

PREREQUISITES
  • Understanding of trigonometric identities
  • Familiarity with complex exponentials
  • Basic knowledge of sinusoidal functions
  • Precalculus concepts
NEXT STEPS
  • Research the relationship between complex exponentials and trigonometric functions
  • Study Euler's formula and its applications in trigonometry
  • Explore advanced trigonometric identities and their proofs
  • Review precalculus resources focusing on sinusoidal functions
USEFUL FOR

Students studying precalculus, educators teaching trigonometric identities, and anyone interested in the mathematical connections between complex numbers and trigonometric functions.

member 731016
Homework Statement
Please see below
Relevant Equations
Please see below
Using the identity's
1678912539056.png


(1)
1678912560583.png

(2)
1678912570481.png

Gives,
1678912607008.png

Why dose this elegant method work?

Many thanks!
 
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Sorry, I posted in the wrong forum. This was meant to be for the precalculus forum.

Many thanks!
 
Are you asking about the connection between complex exponentials and sinusoidals? If so, you may find that this article addresses your question.
 
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Callumnc1 said:
Sorry, I posted in the wrong forum. This was meant to be for the precalculus forum.

Many thanks!
Thread locked. A related question is posted in the Precalc Homework section.
 
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