Inverse Trigonometric Functions Question 81
Question: If $ {{\tan }^{-1}}\frac{x}{\pi }<\frac{\pi }{3},x\in N, $ than the maximum value of x is
Options:
A) 2
B) 5
C) 7
D) None of these
Show Answer
Answer:
Correct Answer: B
We have, $ {{\tan }^{-1}}\frac{x}{\pi }<\frac{\pi }{3}\Rightarrow \tan ( {{\tan }^{-1}}\frac{x}{\pi } )<\tan \frac{\pi }{3} $
$ \Rightarrow \frac{x}{\pi }<\sqrt{3}\Rightarrow x<\sqrt{3}\pi =5.5 $ (approx.)
$ \therefore $ the maximum value of x is 5.
BETA
