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Soros Olympiad in Mathematics
III Soros Olympiad 1996 - 97 (Russia)
11.2
min y= x^2/8+x cosx +cos2x (III Soros Olympiad 1996-97 R2 11.2)
min y= x^2/8+x cosx +cos2x (III Soros Olympiad 1996-97 R2 11.2)
Source:
May 31, 2024
algebra
inequalities
trigonometry
Problem Statement
Find the smallest value of the expression:
y
=
x
2
8
+
x
cos
x
+
cos
2
x
y=\frac{x^2}{8}+x \cos x +\cos 2x
y
=
8
x
2
+
x
cos
x
+
cos
2
x
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