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UPSC NDA I 2010 Mathematics Paper
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© examsnet.com
Question : 93
Total: 120
If angles
A
,
B
,
C
are in
AP
, then what is
sin
A
+
2
sin
B
+
sin
C
equal to?
4
sin
B
cos
2
(
A
−
C
2
)
4
sin
B
cos
2
(
A
−
C
4
)
4
sin
(
2
B
)
cos
2
(
A
−
C
2
)
4
sin
(
2
B
)
cos
2
(
A
−
C
4
)
Validate
Solution:
sin
A
+
sin
C
+
2
sin
B
=
2
sin
(
A
+
C
2
)
cos
(
A
−
C
2
)
+
2
sin
B
=
2
sin
B
cos
(
A
−
C
2
)
+
2
sin
B
=
2
sin
B
[
1
+
cos
(
A
−
C
2
)
]
=
4
sin
B
cos
2
(
A
−
C
4
)
© examsnet.com
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