The range of the function $f(x)=\sin[x],-\frac{π}{4}<x<\frac{π}{4}$, where [x] denotes the greatest integer ≤ x is
Answer & explanation
Correct answer: option 4
When $-\frac{π}{4}<x<0⇒-1<-\frac{π}{4}<x⇒[x]=-1$
$⇒y=\sin(-1)=-\sin 1$, when $0≤x<\frac{π}{4}<1⇒[x]=0$
y = sin 0 = 0