Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Prove that
(
1
+
tan
1
∘
)
(
1
+
tan
2
∘
)
…
(1 + \tan 1^\circ)(1 + \tan 2^\circ) \dots
(
1
+
tan
1
∘
)
(
1
+
tan
2
∘
)
…
(
1
+
tan
45
∘
)
=
2
23
.
(1 + \tan 45^\circ) = 2^{23}.
(
1
+
tan
4
5
∘
)
=
2
23
.
Browse the problem library