Trigonometric Identities Question 153
Question: If $ x=\sec \theta +\tan \theta , $ then $ x+\frac{1}{x}= $
[MP PET 1986]
Options:
A) 1
B) $ 2\sec \theta $
C) 2
D) $ 2\tan \theta $
Show Answer
Answer:
Correct Answer: B
Solution:
Given that $ x=\sec \theta +\tan \theta $
$ \Rightarrow ,x+\frac{1}{x}=\sec \theta +\tan \theta +\frac{1}{\sec \theta +\tan \theta } $ $ =\sec \theta +\tan \theta +\sec \theta -\tan \theta =2\sec \theta $
BETA
