Need Help With a Trigonometric Equation?

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Discussion Overview

The discussion revolves around solving a trigonometric equation, with participants seeking assistance on how to find the value of x and whether their solutions are complete. The scope includes mathematical reasoning and problem-solving related to trigonometric functions.

Discussion Character

  • Homework-related, Mathematical reasoning

Main Points Raised

  • One participant expresses difficulty in solving a trigonometric equation and requests help.
  • Another participant suggests that a proposed solution is valid and notes that the cosine function repeats every 2π/3, indicating there won't be additional solutions in the specified domain.
  • A participant questions whether their solution is complete and seeks clarification on how to find the value of x.
  • Another reply indicates that the solution for x fits within the restricted domain and suggests that combining fractions is optional but not necessary.

Areas of Agreement / Disagreement

Participants do not reach a consensus on whether the solution is complete, as there are differing views on the necessity of further steps in the problem-solving process.

Contextual Notes

There are unresolved aspects regarding the completeness of the solution and the potential for additional solutions based on the periodic nature of the cosine function.

siyanor
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can somebody help me out on this one,i got stuck on this one
https://www.physicsforums.com/attachments/164
 

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Re: Trigonometry

siyanor said:
can somebody help me out on this one,i got stuck on this one
https://www.physicsforums.com/attachments/164

That's a valid solution.

cos(3x-1) repeats every 2pi/3 so there won't be any more solutions in the domain given.
 
Re: Trigonometry

but how we are going to find the value of x ?(is my solution complete or it could go further than this?
 
Re: Trigonometry

siyanor said:
but how we are going to find the value of x ?(is my solution complete or it could go further than this?

You solved for x and it fits within the restricted domain the problem stated. You could combine the fractions but I think it's fine as it is.
 

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