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Inverse Trigonometric Functions question

2013 · Shift 1 · Q31

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PYQ Library
JEE Advanced
Mathematics
Inverse Trigonometric Functions
2013 · Shift 1 · Q31

Inverse Trigonometric Functions question

2013 · Shift 1 · Q31

JEE AdvancedMathematicsInverse Trigonometric FunctionsMCQ+2 / −0.5

The value of

\cot \left( {\sum\limits_{n = 1}^{23} {{{\cot }^{ - 1}}} \left( {1 + \sum\limits_{k = 1}^n {2k} } \right)} \right)

is

A
${{23} \over {25}}$
B
${{25} \over {23}}$
C
${{23} \over {24}}$
D
${{24} \over {23}}$

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