Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Problem
Problem
f
(
x
)
=
sin
(
2
(
[
a
]
x
)
)
f(x) = \sin \left( 2(\sqrt{[a]}x) \right)
f
(
x
)
=
sin
(
2
(
[
a
]
x
)
)
, where
[
.
]
[.]
[
.
]
denote the greatest integer function, has fundamental period
π
\pi
π
for (a)
a
=
3
2
a = \frac{3}{2}
a
=
2
3
(b)
a
=
3
4
a = \frac{3}{4}
a
=
4
3
(c)
a
=
2
3
a = \frac{2}{3}
a
=
3
2
(d)
a
=
4
5
a = \frac{4}{5}
a
=
5
4
Browse the problem library