Quantitative Aptitude Ques 1682

Question: What is the value of $ (90{}^\circ -\theta )\cdot \sin \theta \sec 45{}^\circ ? $

Options:

A) $ 1 $

B) $ \frac{\sqrt{3}}{2} $

C) $ \sqrt{2} $

D) $ \sqrt{3} $

Show Answer

Answer:

Correct Answer: C

Solution:

  • Given, $ \sec (90-\theta ){}^\circ sin\theta sec45{}^\circ $ $ =cosec\theta \sin \theta \sec 45{}^\circ $ $ =\frac{1}{\sin \theta }\cdot \sin \cdot (\sqrt{2})=\sqrt{2} $
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