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STD 11 - 12. limits — Maths STD 11 Science — Question

CBSE BoardEnglish MediumSTD 11 ScienceMathsSTD 11 - 12. limits1 Mark
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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