Solving a general complex trigonometric equation

Click For Summary
SUMMARY

The forum discussion centers on solving the equation a*cos(vx + p) + b*cos(ux + q) = c, which represents a combination of two trigonometric functions. Participants express uncertainty regarding the existence of a general analytic solution for this type of equation. The conversation highlights the complexity of finding solutions to trigonometric equations and the lack of established methods for general cases.

PREREQUISITES
  • Understanding of trigonometric functions and their properties
  • Familiarity with algebraic manipulation of equations
  • Knowledge of analytic solutions in mathematics
  • Basic skills in mathematical problem-solving techniques
NEXT STEPS
  • Research methods for solving trigonometric equations
  • Explore numerical solutions for complex equations
  • Study the implications of phase shifts in trigonometric functions
  • Investigate the use of graphical methods to visualize solutions
USEFUL FOR

Students, mathematicians, and educators involved in solving complex trigonometric equations or teaching related concepts in mathematics.

omertech
Messages
13
Reaction score
0
Hello everyone!

Homework Statement


Solving a relatively general equation representing a constant combination of 2 trigonometric functions.

Homework Equations


[tex]a\cos{(vx+p)}+b\cos{(ux+q)}=c[/tex]

The Attempt at a Solution


I really don't have any idea for a general solution to this equation..

Best Regards
 
Last edited:
Physics news on Phys.org
Not aware of any general analytic solution. Do you have a reason for believing such exists?
 

Similar threads

Trigonometric equation solving 2cos x=tan x
  • · Replies 6 ·
Replies
6
Views
3K
Problem in finding the General Solution of a Trigonometric Equation v3
  • · Replies 7 ·
Replies
7
Views
2K
A problem in finding the General Solution of a Trigonometric Equation
  • · Replies 3 ·
Replies
3
Views
2K
Trigonometric Equations Problems - Rather Confused
  • · Replies 1 ·
Replies
1
Views
2K
State the exact values of all the trigonometric rations for theta.
  • · Replies 12 ·
Replies
12
Views
2K
Trigonometric Circle : f(x) = cos(2x+1)
  • · Replies 9 ·
Replies
9
Views
3K
Sin^4Ө =3/8-3/8cos(2Ө) Prove the following trigonometric identity
  • · Replies 6 ·
Replies
6
Views
2K
Solution to this trigonometric equation
  • · Replies 8 ·
Replies
8
Views
2K
Proving trigonometric equations
  • · Replies 3 ·
Replies
3
Views
2K
Trigonometric Identities and equations
  • · Replies 4 ·
Replies
4
Views
2K