Quantitative Aptitude Ques 2494

Question: If $ \tan \theta =\frac{3}{4} $ and $ 0<\theta <90{}^\circ , $ then $ \sin \theta \cdot \cos \theta $ is equal to

Options:

A) $ \frac{12}{25} $

B) $ \frac{3}{5} $

C) $ \frac{18}{25} $

D) $ \frac{4}{5} $

Show Answer

Answer:

Correct Answer: A

Solution:

  • $ \tan \theta =\frac{3}{4}\Rightarrow \sin \theta =\frac{3}{5} $ and $ \cos \theta =\frac{4}{5} $

$ \Rightarrow $ $ \sin \theta \cos \theta =\frac{12}{25} $