The value of is equal to

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

Problem

The value of 5⋅cot⁡(∑k=15cot⁡−1(k2+k+1))5\cdot\cot\left(\sum_{k=1}^{5}\cot^{-1}(k^2+k+1)\right) is equal to (1) 52\frac{5}{2} (2) 77 (3) −7-7 (4) 72\frac{7}{2}

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