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已知f(x)=2sin(x+)cos(x+)+cos2(x+)-.
(1)试化简f(x)的解析式;
(2)若∈[0,π],试求出使f(x)为偶函数时的的值;
(3)在(2)成立的条件下,求满足f(x)≤1且x∈[-π,π]的集合.