Solve cosx^4-sinx^4: Confirm My Answer?

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SUMMARY

The expression cos(x4) - sin(x4) simplifies to cos(2x). This conclusion is confirmed by multiple participants in the discussion, emphasizing the use of the difference of squares factorization method. The correct application of trigonometric identities is crucial for arriving at this solution efficiently.

PREREQUISITES
  • Understanding of trigonometric identities
  • Familiarity with the difference of squares factorization
  • Basic knowledge of algebraic manipulation
  • Experience with simplifying trigonometric expressions
NEXT STEPS
  • Study the difference of squares factorization technique
  • Review trigonometric identities, particularly double angle formulas
  • Practice simplifying complex trigonometric expressions
  • Explore advanced algebraic techniques for polynomial simplification
USEFUL FOR

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

synergix
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Homework Statement


simplify cosx4-sinx4


The Attempt at a Solution



I got cos2x

does anybody want to solve this and let me know if I am right ?
 
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Cos2x is correct.
 
synergix said:

Homework Statement


simplify cosx4-sinx4


The Attempt at a Solution



I got cos2x

does anybody want to solve this and let me know if I am right ?

Hi synergix! :smile:

It's obviously cos2x :biggrin:

if you're not sure, then either you didn't go the quick way (factorise a4 - b4 :wink:), or you're not familiar enough with your trignonometric identities :smile:
 

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