$\lim_{ heta ightarrow \frac{\pi}{2}}\frac{\frac{\pi}{2} - heta}{\cot heta}$ is equal to

Question

$\lim_{	heta ightarrow \frac{\pi}{2}}\frac{\frac{\pi}{2} - 	heta}{\cot	heta}$ is equal to

Dr. Abubacker · Accepted Answer

(c)
We have, $\lim_{	heta ightarrow \frac{\pi}{2}}\frac{\frac{\pi}{2} - 	heta}{\cot	heta} = \lim_{	heta ightarrow \frac{\pi}{2}}\frac{- 1}{{- {cosec}^{2}}	heta}$
$= \lim_{	heta ightarrow \frac{\pi}{2}}{\sin^{2}	heta} = 1$

Q. $\lim_{\theta \rightarrow \frac{\pi}{2}}\frac{\frac{\pi}{2} - \theta}{\cot\theta}$ is equal to

Explanation

Reviewed by Dr. Abubacker

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