The discussion centers on solving the trigonometric equation cos 5x + cos 3x = cos x. Participants clarify that the sum of cos 5x and cos 3x does not equal cos 8x. Instead, they recommend using the sum-to-product identities to rewrite the equation for easier manipulation. This approach allows for a more straightforward application of trigonometric identities to find solutions.
PREREQUISITESStudents studying trigonometry, educators teaching trigonometric identities, and anyone looking to improve their problem-solving skills in trigonometric equations.
andrew.c said:Homework Statement
I need to solve the equation [tex]cos 5x + cos 3x = cos x[/tex]
Do the first two terms add together to be cos 8x? Then use double angle formula to solve?