Q. The maximum value of $12\sin{\theta - 9\sin^{2}\theta}$ is
A) 3
B) 4
C) 5
D) None of these
Explanation
(b)
Given, $z = 12\sin{\theta - 9\sin^{2}{\theta + 4 - 4}}$
$\Rightarrow \ \ z = - 4 - \left( 2 - 3\sin\theta \right)^{2} \leq 4$
$\therefore$ maximum value of $12\sin{\theta - 9\sin^{2}\theta}$ is 4
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.