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} $