MathDB
Problems
Contests
National and Regional Contests
China Contests
ASDAN Math Tournament
2017 ASDAN Math Tournament
7
2017 Algebra #7
2017 Algebra #7
Source:
August 20, 2022
2017
Algebra Test
Problem Statement
For real numbers
x
,
y
x,y
x
,
y
satisfying
x
2
+
y
2
−
4
x
−
2
y
+
4
=
0
x^2+y^2-4x-2y+4=0
x
2
+
y
2
−
4
x
−
2
y
+
4
=
0
, what is the greatest value of
16
cos
2
x
2
+
y
2
+
24
sin
x
2
+
y
2
?
16\cos^2\sqrt{x^2+y^2}+24\sin\sqrt{x^2+y^2}?
16
cos
2
x
2
+
y
2
+
24
sin
x
2
+
y
2
?
Back to Problems
View on AoPS