Inverse Trigonometric Functions Question 170
Question: The range of $ {{\tan }^{-1}} $ x is
[DCE 2002]
Options:
A) $ ( \pi ,\frac{\pi }{2} ) $
B) $ ( -\frac{\pi }{2},\frac{\pi }{2} ) $
C) $ (-\pi ,\pi ) $
D) $ (0,\pi ) $
Show Answer
Answer:
Correct Answer: B
Solution:
f(x)= $ {{\tan }^{-1}} $ x
[Solution: $\frac{−π}{2}<f(x)<\frac{π}{2}$
IntervalNotation:$(\frac{−π}{2},\frac{π}{2})$]