Trigonometric inverse functions

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SUMMARY

The discussion focuses on solving the equation sin(6x) = sin(4x) - sin(2x). The transformed equation sin(6x) - sin(4x) + sin(2x) = 0 is derived. The participants highlight the use of the sine addition formula, specifically sin(P) + sin(Q) = 2sin((P+Q)/2)cos((P-Q)/2), to simplify and solve the equation effectively.

PREREQUISITES
  • Understanding of trigonometric identities, particularly sine functions.
  • Familiarity with solving trigonometric equations.
  • Knowledge of the sine addition formula.
  • Basic algebra skills for manipulating equations.
NEXT STEPS
  • Study the derivation and applications of the sine addition formula.
  • Explore advanced techniques for solving trigonometric equations.
  • Learn about the graphical representation of trigonometric functions.
  • Investigate the properties of inverse trigonometric functions.
USEFUL FOR

Students, educators, and anyone interested in mastering trigonometric functions and equations, particularly in advanced mathematics or physics contexts.

lizzie
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i want the most general solution for
sin6x=sin4x-sin2x
 
Mathematics news on Phys.org
sin6x=sin4x-sin2x

sin6x-sin4x+sin2x=0

Then remember that

sinP+sinQ=2sin(\frac{P+Q}{2})cos(\frac{P-Q}{2})
 
thanks
 

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