Question: A rectangle is constructed with one side on the positive x-axis, one side on the positive y-axis, and the vertex opposite the origin on the

A rectangle is constructed with one side on the positive x-axis, one side on the positive y-axis, and the vertex opposite the origin on the curve y = cos x, for 0 < x < π/2. Approximate the dimensions of the rectangle that maximize the area of the rectangle. What is the area?

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