The range of the function $f(x) = \sin(\sin^{–1}\{x\})$ where {.} is a fractional part of x is
Answer & explanation
Correct answer: option 1
We know $0 ≤ \{x\} < 1$
$0 \leq \sin^{-1}\{x\}<\frac{\pi}{2}$
Hence (1) is the correct answer.
The range of the function $f(x) = \sin(\sin^{–1}\{x\})$ where {.} is a fractional part of x is
Correct answer: option 1
We know $0 ≤ \{x\} < 1$
$0 \leq \sin^{-1}\{x\}<\frac{\pi}{2}$
Hence (1) is the correct answer.