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JEE Advanced 2013 Paper 1 Mathematics Q7
Mathematics
Problem
The value of
cot
(
∑
n
=
1
23
cot
−
1
(
1
+
∑
k
=
1
n
2
k
)
)
\displaystyle\cot\left(\sum_{n=1}^{23}\cot^{-1}\left(1+\sum_{k=1}^{n}2k\right)\right)
cot
(
n
=
1
∑
23
cot
−
1
(
1
+
k
=
1
∑
n
2
k
)
)
is
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