17.46 USE problems
condition: Solve the following equation using the reducing power method. \[ \sin ^{8} x-\cos ^{8} x=\frac{1}{2} \cos ^{2} 2 x-\frac{1}{2} \cos 2 x \]
Problems of the USE (Unified State Exam) - equations and inequalities in terms of a parameter, solved both by algebraic methods and geometric ones.