97. Geometry Consider a right triangle with a hypotenuse of 6 inches. 6 in. a. Show that the area of the right triangle is given by A(0) = 18 sin 0 cos 0. b. For what value of 0 is A(0) = 8 square inches. c. Without using a graphing utility, find the angle for which A(0) is maximized. If your calculator is in radian mode, convert your final answer to degrees.

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