Question

$\lim _{\theta \rightarrow \frac{\pi}{2}} \frac{\frac{\pi}{2}-\theta}{\cot \theta}$ is equal to

(a) 0

(b) -1

(c) 1

(d) $\infty$

Answer 1

SOLUTION — $\lim _{\theta \rightarrow \frac{\pi}{2}} \frac{(\pi / 2)-\theta}{\cot \theta}=\lim _{\theta \rightarrow \frac{\pi}{2}} \frac{-1}{-\operatorname{cosec}^2 \theta}=1$

So, The correct option of this question will be (C).