Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
For
x
≠
n
π
2
x \neq \frac{n\pi}{2}
x
=
2
nπ
, where
n
∈
I
n \in \mathbb{I}
n
∈
I
, find the range of function
f
(
x
)
=
sgn
(
sin
x
)
+
sgn
(
cos
x
)
+
sgn
(
tan
x
)
+
sgn
(
cot
x
)
f(x) = \operatorname{sgn}(\sin x) + \operatorname{sgn}(\cos x) + \operatorname{sgn}(\tan x) + \operatorname{sgn}(\cot x)
f
(
x
)
=
sgn
(
sin
x
)
+
sgn
(
cos
x
)
+
sgn
(
tan
x
)
+
sgn
(
cot
x
)
.
Browse the problem library