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25
Problem 25, Fall 2003 , MS and HS
Problem 25, Fall 2003 , MS and HS
Source:
June 23, 2011
trigonometry
Problem Statement
Given that
(
1
+
tan
1
∘
)
(
1
+
tan
2
∘
)
…
(
1
+
tan
4
5
∘
)
=
2
n
(1 + \tan 1^{\circ})(1 + \tan 2^{\circ}) \ldots (1 + \tan 45^{\circ}) = 2^n
(
1
+
tan
1
∘
)
(
1
+
tan
2
∘
)
…
(
1
+
tan
4
5
∘
)
=
2
n
, find
n
n
n
.
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