A triangle with sides of length [math]a[/math] and [math]b[/math], and included angle [math]\theta[/math] is displayed. Use the sliders to adjust the values of these parameters. [br][br]For fixed values of [math]a[/math] and [math]b[/math], what value of [math]\theta[/math] will maximize the area of the triangle?

[i]Developed for use with Thomas' Calculus, published by Pearson.[/i]