The discussion centers on solving the equation sin(x) - cos(2x) = 0, which is critical for finding the critical numbers of the function f(x) = 2cos(x) + sin(2x). Participants highlight the use of the identity cos(2x) = 1 - 2sin²(x) to simplify the equation. This substitution allows for a more straightforward approach to solving for x. The focus is on leveraging trigonometric identities to facilitate the solution process.
PREREQUISITESStudents in calculus, mathematics educators, and anyone interested in solving trigonometric equations and understanding critical points in functions.
reddawg said:Homework Statement
0 = sin(x) - cos(2x)
Original problem asks to find the critical numbers of f(x) = 2cos(x) + sin(2x) . . . above is its derivative simplified and what I need to solve.