Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
The function
f
:
X
→
Y
f: X \to Y
f
:
X
→
Y
defined by
f
(
x
)
=
sin
x
f(x) = \sin x
f
(
x
)
=
sin
x
is one-one but not onto if
X
X
X
and
Y
Y
Y
are respectively equal to (a)
R
R
R
and
R
R
R
(b)
[
0
,
π
]
[0, \pi]
[
0
,
π
]
and
[
0
,
1
]
[0, 1]
[
0
,
1
]
(c)
[
0
,
π
2
]
\left[0, \frac{\pi}{2}\right]
[
0
,
2
π
]
and
[
−
1
,
1
]
[-1, 1]
[
−
1
,
1
]
(d)
[
−
π
2
,
π
2
]
\left[-\frac{\pi}{2}, \frac{\pi}{2}\right]
[
−
2
π
,
2
π
]
and
[
−
1
,
1
]
[-1, 1]
[
−
1
,
1
]
Browse the problem library