Simplifying a trigonometric binomial

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SUMMARY

The discussion focuses on the simplification of the trigonometric binomial expression (bcos30 - 85.7)(bcos30 - 85.7). The correct expansion is identified as b²cos²30 - 2b(85.7cos30) + 85.7². A crucial point made is the necessity of including the b term for the 85.7cos30 component during simplification, which is essential for accurate results.

PREREQUISITES
  • Understanding of trigonometric functions, specifically cosine.
  • Familiarity with algebraic expansion techniques.
  • Knowledge of binomial expressions and their properties.
  • Basic skills in simplifying mathematical expressions.
NEXT STEPS
  • Study the properties of trigonometric identities and their applications.
  • Learn about algebraic binomial expansion methods.
  • Explore advanced simplification techniques in trigonometry.
  • Practice problems involving trigonometric expressions and their simplifications.
USEFUL FOR

Students studying trigonometry, mathematics educators, and anyone looking to enhance their skills in algebraic manipulation of trigonometric expressions.

Ry122
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Is this correct?
(bcos30-85.7)(bcos30-85.7)=b²cos²30-85.7cos30-85.7bcos30+85.7²
 
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You're missing a b term for 85.7cos30 and then you have to simplify.
 

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