Solving Sin(2x) = Cos(2x): A Complete Guide to Trigonometric Equations

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Homework Help Overview

The discussion revolves around solving the trigonometric equation sin(2x) = cos(2x). Participants are exploring methods to simplify and solve this equation.

Discussion Character

  • Exploratory, Problem interpretation, Assumption checking

Approaches and Questions Raised

  • Participants suggest using the double angle formula and consider making a substitution to simplify the equation to sin(u) = cos(u). There are also suggestions to divide by cos(2x) as a potential approach.

Discussion Status

The discussion includes various approaches to tackle the equation, with some participants offering guidance on how to proceed. There is an invitation for the original poster to share their work to identify any mistakes.

Contextual Notes

One participant notes that the original poster may have found the problem too complex, indicating a potential struggle with the methods being discussed.

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qweqwe said:
solve the equation sin(2x) = cos(2x)

Tried using the double angle formula

Too much work! Make a simple substitution so you can solve the equation sin(u)=cos(u).
 
If you show what you have done we can help you find the mistake.
 
or just divide by cos(2x)
 

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