Trigonometric Identities Question 207
The most general value for which tan $ \theta $ =-1 and $ \cos \theta =\frac{1}{\sqrt{2}} $ is (n $ \in $ z)
Options:
A) $ n\pi =\frac{7\pi }{4} $
B) $ n\pi +{{(-1)}^{n}}\frac{7\pi }{4} $
C) $ 2n\pi {{+}^{}}\frac{7\pi }{4} $
D) none of these
Show Answer
Answer:
Correct Answer: C
Solution:
Since tan $ \theta $ = 0, $ \theta $ lies in the fourth quadrant, then $ \theta =7\pi /4 $ . Hence, the general value of $ \theta $ is $ 2n\pi +7\pi /4,n\in Z. $
BETA
