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Math C30 ( trig )

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A roof in the shape of an upside down cosine wave is to be buile to cover an arena. The arena is 24m wide, the height of the roof at either side wall is 5m, and the maximum height of the roof is 9m.
A) write a function that gives the height of the roof in terms of your distance from the left wall.
B) what is the height if the roof 10m from the left wall?
Please help....

  • Math C30 ( trig ) -

    The description is vague "cosine wave"

    at x=-12, y=5, at x=0, y=9, at x=12, y=5

    y= 5 + 4 cos((x-12)/48)

    check that.

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