• 已知sin(α+π12)=25,则cos(α+7π12)的值等于 .试题及答案-填空题-云返教育

    • 试题详情

      已知sin(α+
      π
      12
      )=
      2
      5
      ,则cos(α+
      12
      )的值等于         

      试题解答


      -
      2
      5

      解:∵sin(α+
      π
      12
      )=
      2
      5

      ∴cos(α+
      12

      =cos[(α+
      π
      12
      )+
      π
      2
      ]
      =-sin(α+
      π
      12

      =-
      2
      5

      故答案为:-
      2
      5
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