The value of is

MATHEMATICS · Single correct · CBSE · Mathematics · Inverse Trigonometric Functions · Inverse Trigonometric Functions

Problem

The value of cot⁡{∑n=123cot⁡−1(1+∑k=1n2k)}\cot \left\{ \sum_{n=1}^{23} \cot^{-1} \left( 1 + \sum_{k=1}^{n} 2k \right) \right\} is (1) 2325\frac{23}{25} (2) 2523\frac{25}{23} (3) 2324\frac{23}{24} (4) 2423\frac{24}{23}

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