Is tan(3pi\11)+4sin(2pi\11)=sqrt(11) true?

  • Context: Undergrad 
  • Thread starter Thread starter ashrafmod
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SUMMARY

The equation tan(3π/11) + 4sin(2π/11) = √11 is under scrutiny for its validity through standard trigonometric manipulations. Participants in the discussion highlight the challenges faced when attempting to simplify or prove the equation using traditional trigonometric identities. The consensus indicates that standard methods do not yield a straightforward resolution, suggesting that alternative approaches or numerical methods may be necessary for verification.

PREREQUISITES
  • Understanding of trigonometric functions, specifically tangent and sine.
  • Familiarity with trigonometric identities and their applications.
  • Basic knowledge of algebraic manipulation and equation solving.
  • Experience with numerical methods for equation verification.
NEXT STEPS
  • Explore advanced trigonometric identities and their proofs.
  • Learn about numerical methods for solving transcendental equations.
  • Investigate the properties of the tangent and sine functions in relation to specific angles.
  • Study the implications of using graphical methods to analyze trigonometric equations.
USEFUL FOR

Mathematicians, students studying trigonometry, and anyone interested in exploring the complexities of trigonometric equations and their solutions.

ashrafmod
tan(3pi\11)+4sin(2pi\11)=sqrt(11)
 
Physics news on Phys.org
Does using standard trig manipulations really get you no where?
 
Sure as hell wouldn't get me anywhere...
 

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