Maximizing Trapezoid Area

[color=#000000]Suppose both legs and one base of the isosceles trapezoid below each have length 1. [br](Drag black slider.) [br][br]If this is so, determine the value of [/color][math]\theta[/math][color=#000000] that maximizes the area of this isosceles trapezoid.[br]Be sure to solve this problem first! How do your results compare with what this applet suggests?[/color]

Information: Maximizing Trapezoid Area