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UPSC NDA 2 2012 Mathematics Paper
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© examsnet.com
Question : 29
Total: 120
What is the value of
s
i
n
15
∘
?
√
3
−
1
2
√
2
√
3
+
1
2
√
2
√
3
−
1
√
3
+
1
√
3
+
1
√
3
−
1
Validate
Solution:
s
i
n
15
∘
=
s
i
n
(
45
∘
−
30
∘
)
=
s
i
n
45
∘
⋅
cos
30
∘
−
cos
45
∘
⋅
s
i
n
30
∘
=
1
√
2
⋅
√
3
2
−
1
√
2
⋅
1
2
=
√
3
2
√
2
−
1
2
√
2
=
√
3
−
1
2
√
2
© examsnet.com
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