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2005 All-Russian Olympiad Regional Round
11.1
sin x + sin y = sin(xy) All-Russian MO 2005 Regional 11.1
sin x + sin y = sin(xy) All-Russian MO 2005 Regional 11.1
Source:
August 26, 2024
trigonometry
algebra
Problem Statement
Find all pairs of numbers
x
,
y
∈
(
0
,
π
2
)
x, y \in \left( 0, \frac{\pi}{2}\right)
x
,
y
∈
(
0
,
2
π
)
, satisfying the equality
sin
x
+
sin
y
=
sin
(
x
y
)
\sin x + \sin y = \sin (xy)
sin
x
+
sin
y
=
sin
(
x
y
)
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