Find the max and min value of $a\cos^2 x+b\sin x\cos x+c\sin^2 x$.
Problem
Source: Turkmenistan National Math Olympiad 2012 Grade 9
Tags: trigonometry, inequalities unsolved, inequalities
Source: Turkmenistan National Math Olympiad 2012 Grade 9
Tags: trigonometry, inequalities unsolved, inequalities
Find the max and min value of $a\cos^2 x+b\sin x\cos x+c\sin^2 x$.