CUET Preparation Today
CUET
-- Mathematics - Section B1
Relations and Functions
The range of the function $f(x) = \sin(\sin^{–1}\{x\})$ where {.} is a fractional part of x is
[0, 1)
[0, 1]
(–1, 1)
None of these
We know $0 ≤ \{x\} < 1$
$0 \leq \sin^{-1}\{x\}<\frac{\pi}{2}$
Hence (1) is the correct answer.