17.45 USE problems
Condition: Solve the following equation using the reducing power method. \[ \cos ^{6}\left(\frac{\pi}{4}+x\right)+\cos ^{6}\left(x-\frac{\pi}{4}\right)=0.5 \]
Problems of the USE (Unified State Exam) - equations and inequalities in terms of a parameter, solved both by algebraic methods and geometric ones.