Question

If \(\cos 4x = \cos 3x\), find the general solution for \(x\).

• A. \( x = 2n\pi \) or \( x = \frac{2n\pi}{7} \), where \( n \in \mathbb{Z} \)
• B. \( x = n\pi \) or \( x = \frac{n\pi}{7} \), where \( n \in \mathbb{Z} \)
• C. \( x = \frac{2n\pi}{7} \) only
• D. \( x = 2n\pi \) only

Hint:

For \( \cos A = \cos B \), avoid dividing by terms that might be zero.
Always use the general form \( A = 2n\pi \pm B \) to ensure all possible roots are captured in the general solution.

Answer 1

The Correct Option is A