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10 cos^2x+cosx+1/4

=(cosx+1/2)^2

=0

所以 cosx=-1/2

x=2kπ+2π/3或x=2kπ-2π/3

集合为{x|x=2kπ+2π/3或x=2kπ-2π/3} k∈Z

11.2(1-cos^2x)-cosx-1=0

2-2cos^2x-cosx-1=0

2cos^2x+cosx-1=0

(2cosx-1)(cosx+1)=0

cosx=1/2或cosx=-1

x∈【0,2π】

所以 x=π/3或5π/3或π

12.x/3-π/3=kπ+π/4

x=3kπ+7π/4 k∈Z

集合为{x|x=3kπ+7π/4} k∈Z