MathematicsMedium110×since 2002Q3896Let the range of the function f(x)=12+sin3x+cos3x,x∈Rf(x)=\frac{1}{2+\sin 3 x+\cos 3 x}, x \in \mathbb{R}f(x)=2+sin3x+cos3x1,x∈R be [a,b][a, b][a,b]. If α\alphaα and β\betaβ ar respectively the A.M. and the G.M. of aaa and bbb, then αβ\frac{\alpha}{\beta}βα is equal toAπ\piπBπ\sqrt{\pi}πC2\sqrt{2}2D2Check answerSkip