Find answers to your questions and expand your knowledge with IDNLearn.com. Get comprehensive and trustworthy answers to all your questions from our knowledgeable community members.

8. Se diseña un parque en forma de un sector circular, de manera que su radio mide [tex]\(\cot \theta\)[/tex] dam y su ángulo central mide [tex]\((2 \sin \theta \cdot \sec \theta \cdot \tan \theta) \)[/tex] rad. Si se va a utilizar la menor longitud de alambre para cercar el parque y [tex]\(\theta\)[/tex] es la medida de un ángulo agudo, halle el valor de [tex]\(\theta\)[/tex].

A) [tex]\(\frac{\pi}{6} \)[/tex] rad
B) [tex]\(\frac{\pi}{8} \)[/tex] rad
C) [tex]\(\frac{\pi}{3} \)[/tex] rad
D) [tex]\(\frac{\pi}{4} \)[/tex] rad
E) [tex]\(\frac{\pi}{12} \)[/tex] rad