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EAMCET Engineering 2008 Solved Paper
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© examsnet.com
Question : 102
Total: 160
If
ω
is a complex cube root of unity, then
s
i
n
{
(
ω
10
+
ω
23
)
π
−
π
4
}
is equal to
1
√
2
1
2
1
√
3
2
Validate
Solution:
Since,
ω
is a cube root of unity.
∴
s
i
n
{
(
ω
10
+
ω
23
)
π
−
π
4
}
=
s
i
n
{
(
ω
+
ω
2
)
π
−
π
4
}
=
s
i
n
(
−
π
−
π
4
)
(
∵
1
+
ω
+
ω
2
=
0
)
=
−
s
i
n
(
π
+
π
4
)
=
s
i
n
π
4
=
1
√
2
© examsnet.com
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