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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
Sagot :
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