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National and Regional Contests
China Contests
(China) National High School Mathematics League
2006 China Second Round Olympiad
7
2006 China Second Round Olympiad Test 1 #7
2006 China Second Round Olympiad Test 1 #7
Source:
September 28, 2014
trigonometry
quadratics
Problem Statement
Let
f
(
x
)
=
sin
4
x
−
sin
x
cos
x
+
c
o
s
4
x
f(x)=\sin^4x-\sin x\cos x+cos^4 x
f
(
x
)
=
sin
4
x
−
sin
x
cos
x
+
co
s
4
x
. Find the range of
f
(
x
)
f(x)
f
(
x
)
.
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