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Mathematics
Mathematics
Problem
Let
f
:
R
→
S
f:\mathbb{R}\to S
f
:
R
→
S
be defined by
f
(
x
)
=
sin
x
f(x)=\sin x
f
(
x
)
=
sin
x
. For which of the following sets
S
S
S
is
f
f
f
surjective? a)
(
−
1
,
1
)
(-1,1)
(
−
1
,
1
)
b)
[
−
1
,
1
]
[-1,1]
[
−
1
,
1
]
c)
(
0
,
1
)
(0,1)
(
0
,
1
)
d)
[
−
π
,
π
]
[-\pi,\pi]
[
−
π
,
π
]
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