### Home > APCALC > Chapter 7 > Lesson 7.3.2 > Problem7-117

7-117.

Multiple Choice: What is the area of the largest rectangle that can be inscribed under the graph of $y=\cos(x)$, over the interval $-\frac { \pi } { 2 }≤ x ≤ \frac{π}{2}$? .

1. $1.10$

1. $1.12$

1. $1.14$

1. $1.16$

1. $1.18$

Let $\left(a, 0\right)$ 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.

Use the eTool below to help solve the problem.
Click the link at right for the full version of the eTool: Calc 7-117 HW eTool