f(x)=2sin[(π/4)-x]的单调区间

1个回答

  • f(x)=2sin[(π/4)-x]把[(π/4)-x]看成一个整体,

    sinx 的单调增区间是(2kπ -π/2,2kπ + π/2)

    2kπ -π/2≤(π/4)-x≤2kπ + π/2,解得x范围:(2kπ -π/4,2kπ + 3π/4)

    sinx 的单调减区间是(2kπ +π/2,2kπ + 3π/2)

    2kπ +π/2≤(π/4)-x≤2kπ + 3π/2,解得x范围:(2kπ +3π/4,2kπ + 7π/4)