Trigonometric Identities Question 133
Question: If $ \sin \theta =-\frac{1}{\sqrt{2}} $ and $ \tan \theta =1, $ then $ \theta $ lies in which quadrant
Options:
A) First
B) Second
C) Third
D) Fourth
Show Answer
Answer:
Correct Answer: C
Solution:
$ \sin \theta =-\frac{1}{\sqrt{2}} $ and $ \tan \theta =1 $
$ \Rightarrow $ $ \sin \theta =\sin 225{}^\circ \Rightarrow \theta =225{}^\circ $ Since $ \sin \theta $ is $ -ve $ and $ \tan \theta $ is $ +ve $ in third quadrant.
BETA
