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  • Perplex
    IB Math AIHL
    /
    Trig equations & identities
    /

    Problem Bank

    [Maximum mark: 5]

    The depth of water in a harbor, in meters, is modeled by

    ​
    D(t)=4+2sin(6π​t)
    ​

    where ​t​ is the number of hours after midnight.

    1. Write down the mean depth of the water.

      [1]

      To earn a crown, get your answer ready before you reveal the options!

    2. Find the maximum depth of the water.

      [1]
    3. Find the depth of the water at ​2AM.

      [1]
    4. State the period of the function and explain what it represents in this context.

      [2]

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