Rational Expressions of Trigonometric Functions: Example

Find

displaymath56

Solution. Set tex2html_wrap_inline58 , then we have

displaymath60

This clearly implies

displaymath62

Algebraic simplifications give

displaymath64

The technique of partial decomposition gives

displaymath66

This will not complete our answer since we need to go back the variable x. Indeed, we have

displaymath70

[Calculus] [More Examples]
[Geometry] [Algebra] [Trigonometry ]
[Differential Equations] [Complex Variables] [Matrix Algebra]

S.O.S MATHematics home page

Do you need more help? Please post your question on our S.O.S. Mathematics CyberBoard.

Author: Mohamed Amine Khamsi

Copyright 1999-2014 MathMedics, LLC. All rights reserved.
Contact us
Math Medics, LLC. - P.O. Box 12395 - El Paso TX 79913 - USA
users online during the last hour