_ x /2 ( - ) = - Vidyadip

MCQ

$\mathop {\lim }\limits_{x \to \pi /2} (\sec \theta - \tan \theta ) = $

✓
$0$
B
$0.5$
C
$2$
D
$\infty $

✓

Answer

Correct option: A.

$0$

a
(a)$\mathop {\lim }\limits_{\theta \to \pi /2} \,\,\frac{{1 - \sin \theta }}{{\cos \theta }} = \mathop {\lim }\limits_{\theta \to \pi /2} \,\,\frac{{{{\left( {\cos \frac{\theta }{2} - \sin \frac{\theta }{2}} \right)}^2}}}{{\left( {\cos \frac{\theta }{2} - \sin \frac{\theta }{2}} \right)\,\left( {\cos \frac{\theta }{2} + \sin \frac{\theta }{2}} \right)}} = 0$.

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