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Soros Olympiad in Mathematics
IV Soros Olympiad 1997 - 98 (Russia)
11.1
2 arc cos x >= arc cos y (IV Soros Olympiad 1997-98 R3 11.1)
2 arc cos x >= arc cos y (IV Soros Olympiad 1997-98 R3 11.1)
Source:
June 2, 2024
analytic geometry
trigonometry
Problem Statement
On the coordinate plane, draw a set of points whose coordinates
(
x
,
y
)
(x, y)
(
x
,
y
)
satisfy the inequality
2
a
r
c
cos
x
≥
a
r
c
cos
y
2 arc \cos x \ge arc \cos y
2
a
rc
cos
x
≥
a
rc
cos
y
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