Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
If
f
(
x
)
=
8
1
−
x
+
8
1
+
x
f(x) = \sqrt{\frac{8}{1-x} + \frac{8}{1+x}}
f
(
x
)
=
1
−
x
8
+
1
+
x
8
and
g
(
x
)
=
4
f
(
sin
x
)
+
4
f
(
cos
x
)
g(x) = \frac{4}{f(\sin x)} + \frac{4}{f(\cos x)}
g
(
x
)
=
f
(
s
i
n
x
)
4
+
f
(
c
o
s
x
)
4
, the
g
(
x
)
g(x)
g
(
x
)
is periodic with period a.
π
2
\frac{\pi}{2}
2
π
b.
π
\pi
π
c.
3
π
2
\frac{3\pi}{2}
2
3
π
d.
2
π
2\pi
2
π
Browse the problem library