Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
The number of ordered pairs
(
α
,
β
)
(\alpha, \beta)
(
α
,
β
)
, where
α
,
β
∈
(
−
π
,
π
)
\alpha, \beta \in (-\pi, \pi)
α
,
β
∈
(
−
π
,
π
)
satisfying
cos
(
α
−
β
)
=
1
\cos(\alpha - \beta) = 1
cos
(
α
−
β
)
=
1
and
cos
(
α
+
β
)
=
1
e
\cos(\alpha + \beta) = \frac{1}{e}
cos
(
α
+
β
)
=
e
1
is a. 0 b. 1 c. 2 d. 4
Browse the problem library