f(x)=5根号下3cos^2x+根号下3sin^2x-4sinxcosx
=4根号下3cos^2x-4sinxcosx+根号下3
=2根号下3(2cos^2x-1)-2sin2x+3根号下3
=2根号3cos2x-2sin2x+3根号下3
=4cos(2x-π/6)+3根号下3
(1)求f(X)的值域
【-4+3根号下3,4+3根号下3】
(2)求单减区间
2kπ<=2x-π/6<=2kπ+π
kπ+π/12<=x<=kπ7π/12
单减区间 【kπ+π/12,kπ7π/12】 ( k∈Z)