Quantitative Aptitude Ques 726
Question: If $ \sin 5\theta =\cos 30{}^\circ (0{}^\circ <\theta <90{}^\circ ), $ then the value of $ \theta $ is
Options:
A) $ 12{}^\circ $
B) $ 13{}^\circ $
C) $ 14{}^\circ $
D) $ 15{}^\circ $
Show Answer
Answer:
Correct Answer: A
Solution:
- $ \sin 5\theta =\cos 30{}^\circ $
$ \Rightarrow $ $ \sin 5\theta =\sin ,(90{}^\circ -30{}^\circ ) $
$ \Rightarrow $ $ \sin 5\theta =\sin 60{}^\circ $
$ \Rightarrow $ $ 5\theta =60{}^\circ $
$ \Rightarrow $ $ \theta =12{}^\circ $
BETA
