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7-115.

Multiple Choice: Find the area of the largest rectangle that can be inscribed under the graph of $y =\operatorname{cos} x$, in the interval $−\frac { \pi } { 2 }≤ x ≤\frac { \pi } { 2 }$.

1. $1.14$

1. $1.16$

1. $1.18$

Let $(a, 0)$ be the coordinate of the lower right-hand vertex. What will be the coordinates of the other three vertices?

Write an equation for the area of this rectangle, in terms of $a$. Then optimize it.

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