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2021 AIME Problems
7
2021 AIME I/7
2021 AIME I/7
Source: 2021 AIME I/7
March 11, 2021
AMC
AIME
Problem Statement
Find the number of pairs
(
m
,
n
)
(m,n)
(
m
,
n
)
of positive integers with
1
≤
m
<
n
≤
30
1\le m<n\le 30
1
≤
m
<
n
≤
30
such that there exists a real number
x
x
x
satisfying
sin
(
m
x
)
+
sin
(
n
x
)
=
2.
\sin(mx)+\sin(nx)=2.
sin
(
m
x
)
+
sin
(
n
x
)
=
2.
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