17.79 Use Problems
Condition: to prove that for any \ (p \) and \ (t \) the inequality \ (2 (2 p-1)^{4} +1+ (1-2 (2 p- \) \ (\ left.-1) {4} \ right) \ sin 2 t \ geq 0 \), and find all pairs \ (p, t) \), in which it is turned into equality.
Problems of the Use (Unified state Exam) - Equations and Inequalites in Terms of A Parameter, Solved Both by Algebraic Methods and Geometric One.