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EAMCET Engineering 2009 Solved Paper
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© examsnet.com
Question : 102
Total: 160
The period of
s
i
n
4
x
+
cos
4
x
is
π
4
2
π
2
2
π
4
π
2
Validate
Solution:
Let
f
(
x
)
=
s
i
n
4
x
+
cos
4
x
=
(
s
i
n
2
x
+
cos
2
x
)
2
−
2
s
i
n
2
x
cos
2
x
=
1
−
1
4
⋅
2
(
s
i
n
2
x
)
2
=
1
−
1
4
(
1
−
cos
4
x
)
=
3
4
+
cos
4
x
4
∴
Period of
f
(
x
)
=
2
π
4
=
π
2
© examsnet.com
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