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2000 Harvard-MIT Mathematics Tournament
5
2000 HMMT RMT Team #5
2000 HMMT RMT Team #5
Source:
March 8, 2024
trigonometry
algebra
Problem Statement
Given
cos
(
α
+
β
)
+
s
i
n
(
α
−
β
)
=
0
\cos (\alpha + \beta) + sin (\alpha - \beta) = 0
cos
(
α
+
β
)
+
s
in
(
α
−
β
)
=
0
,
tan
β
=
1
2000
\tan \beta =\frac{1}{2000}
tan
β
=
2000
1
, find
tan
α
\tan \alpha
tan
α
.
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