Functions Question 655
Question: Function $ {{\sin }^{-1}}\sqrt{x} $ is defined in the interval
Options:
A) (?1, 1)
B) [0, 1]
C) [?1, 0]
D) (?1, 2)
Show Answer
Answer:
Correct Answer: B
Solution:
Let $ y={{\sin }^{-1}}\sqrt{x}\Rightarrow \sqrt{x}=\sin y $
$ \Rightarrow x={{\sin }^{2}}y,\therefore 0\le x\le 1 $