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Soros Olympiad in Mathematics
IV Soros Olympiad 1997 - 98 (Russia)
11.3
sinx cos^2 y +sin y cos^2 x =0 (IV Soros Olympiad 1997-98 R2 11.3)
sinx cos^2 y +sin y cos^2 x =0 (IV Soros Olympiad 1997-98 R2 11.3)
Source:
June 1, 2024
trigonometry
analytic geometry
Problem Statement
Draw on the coordinate plane the set of points whose coordinates satisfy the equation
sin
x
cos
2
y
+
sin
y
cos
2
x
=
0
\sin x \cos^2 y +\sin y \cos^2 x =0
sin
x
cos
2
y
+
sin
y
cos
2
x
=
0
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